NAME ________________________________________ DATE _____________ PERIOD _____ 1st pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 5 95 Course 2 Evaluate each expression. Express the result in scientific notation. 1. (7.3 × 108 )(2.4 × 103 ) 2. 4.62 × 10 − 7 1.2 × 104 3. 8.64 × 10 − 6 4.32 × 103 4. (5.32 × 108 ) – (4.6 × 106 ) 5. (9.67 × 106 ) + (3.45 × 105 ) 6. (4.5 × 103 )(1.6 × 105 ) 7. (2.82 × 109 ) + (6.3 × 107 ) 8. (3.64 × 106 ) – (2.18 × 104 ) 9. 2.144 × 10 − 7 3.2 × 104 10. (7.2 × 107 )(1.82 × 102 ) 11. (9.8 × 105 ) – (6.7 × 103 ) 12. (6.98 × 105 ) + (1.65 × 107 ) 13. (2.46 × 107 )(1.78 × 102 ) 14. 3.936 × 10 − 5 2.4 × 102 15. MARS The diameter of Mars is about 6.8 × 103 kilometers. The diameter of Earth is about 1.2763 × 104 kilometers. About how much greater is Earth’s diameter than the diameter of Mars? 16. WAREHOUSE A factory builds a new warehouse that is approximately 1.28 × 105 square feet. Later, they add on 1.13 × 103 more square feet for offices. Use scientific notation to write the total size of the new building. Get Connected Get Connected For more examples, go to glencoe.com. 5-2 C Homework Practice Compute with Scientific Notation 083_102_HPC3C5_892764.indd 95 83_102_HPC3C5_892764.indd 95 2/2/10 10:02:41 PM /2/10 10:02:41 PM
NAME ________________________________________ DATE _____________ PERIOD _____ 1st pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 5 96 Course 2 1. OCEAN Humpback whales are known to weigh as much as 8 × 104 pounds. The tiny krill they eat weigh only 2.1875 × 10−3 pounds. How many times greater than krill are humpback whales? 2. MEASUREMENT One inch is equal to 1.5782 × 10−5 miles. One centimeter is equal to 6.2137 × 10−6 miles. How many miles greater is one inch than one centimeter? 3. MONUMENT The Statue of Liberty is about 1.5108 × 102 feet tall from the base to the torch. The pedestal is 1.54 × 102 feet tall. How tall is the Statue of Liberty from the foundation of the pedestal to the top of the torch? 4. FUNDRAISER The table shows the amount of money raised by each region for cancer awareness. How much money did the North and South raise together? 5. TURKEYS When the National Wild Turkey Federation was formed in 1973, there were only about 1.3 × 106 wild turkeys in North America. Now there are over 7 × 106 wild turkeys in North America. About how many more turkeys are there now than there were in 1973? 6. MONEY A bank starts the day with 2.93 × 104 dollars in the vault. At the end of the day, the bank has 3.5 × 105 dollars in the vault. How much more money is in the vault at the end of the day than there was in the morning? Region Amount Raised ($) East 1.46 × 104 North 2.38 × 104 South 6.75 × 103 West 8.65 × 103 5-2 C Problem-Solving Practice Compute with Scientific Notation 083_102_HPC3C5_892764.indd 96 83_102_HPC3C5_892764.indd 96 2/2/10 10:02:45 PM /2/10 10:02:45 PM
NAME ________________________________________ DATE _____________ PERIOD _____ 1st pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 5 97 Course 2 A Find each square root. 1. √36 2. - √144 3. - √− 9 16 4. √1.96 5. ±√2.25 6. ±√− 121 289 7. √− -81 100 8. ±√ 0.0025 9. - √0.49 10. -√3.24 11. -√− 25 441 12. ± √ 361 ALGEBRA Solve each equation. Check your solution(s). 13. h2 = 121 14. 324 = a2 15. x2 = − 81 169 16. 0.0196 = m2 17. √y = 6 18. √z = 8.4 19. GARDENING Moesha has 196 pepper plants that she wants to plant in square formation. How many pepper plants should she plant in each row? 20. RESTAURANTS A new restaurant has ordered 64 tables for its outdoor patio. If the manager arranges the tables in a square formation, how many will be in each row? GEOMETRY The formula for the perimeter of a square is P = 4s, where s is the length of a side. Find the perimeter of each square. 21. Area = 144 square inches 22. Area = 81 square feet 23. Area = 324 square meters Get Connected Get Connected For more examples, go to glencoe.com. 5-3 Homework Practice Square Roots 083_102_HPC3C5_892764.indd 97 83_102_HPC3C5_892764.indd 97 2/2/10 10:02:49 PM /2/10 10:02:49 PM
NAME ________________________________________ DATE _____________ PERIOD _____ 1st pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 5 98 Course 2 A 1. PLANNING Rosy wants a large picture window put in the living room of her new house. The window is to be square with an area of 49 square feet. How long should each side of the window be? 2. GEOMETRY If the area of a square is 81 square meters, how many meters long is each side? 3. ART A miniature portrait of George Washington is square and has an area of 169 square centimeters. How long is each side of the portrait? 4. BAKING Cody is baking a square cake for his friend’s wedding. When served to the guests, the cake will be cut into square pieces 1 inch on a side. The cake should be large enough so that each of the 121 guests gets one piece. How long should he make each side of the cake? 5. ART Cara has 196 marbles that she is using to make a square formation. How many marbles should be in each row? 6. GARDENING Tate is planning to put a square garden with an area of 289 square feet in his back yard. What will be the length of each side of the garden? 7. HOME IMPROVEMENT Basil has 324 square paving stones that he plans to use to construct a square patio. How many paving stones will make up the width of the patio? 8. GEOMETRY If the area of a square is 529 square inches, what is the length of a side of the square? 5-3 Problem-Solving Practice Square Roots 083_102_HPC3C5_892764.indd 98 83_102_HPC3C5_892764.indd 98 2/2/10 10:02:55 PM /2/10 10:02:55 PM
NAME ________________________________________ DATE _____________ PERIOD _____ 1st pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 5 99 Course 2 Estimate to the nearest whole number. 1. √38 2. √53 3. √99 4. √227 5. √8.5 6. √35.1 7. √67.3 8. √ 103.6 9. √86.4 10. √45.2 11. √7 2 − 5 12. √27 3 − 8 Order from least to greatest. 13. 8, 10, √61 , √73 14. √45 , 9, 6, √63 15. √50 , 7, √44 , 5 ALGEBRA Estimate the solution of each equation to the nearest integer. 16. d2 = 61 17. z2 = 85 18. r2 = 3.7 19. GEOMETRY The radius of a cylinder with volume V and height 10 centimeters is approximately √− V 30 . If a can that is 10 centimeters tall has a volume of 900 cubic centimeters, estimate its radius. 20. TRAVEL The formula s = √18d can be used to find the speed s of a car in miles per hour when the car needs d feet to come to a complete stop after slamming on the brakes. If it took a car 12 feet to come to a complete stop after slamming on the brakes, estimate the speed of the car. GEOMETRY The formula for the area of a square is A = s2, where s is the length of a side. Estimate the length of a side for each square. 21. Area = 40 square inches 22. Area = 97 square feet Get Connected Get Connected For more examples, go to glencoe.com. 5-3 C Homework Practice Estimate Square Roots 083_102_HPC3C5_892764.indd 99 83_102_HPC3C5_892764.indd 99 2/2/10 10:02:58 PM /2/10 10:02:58 PM
NAME ________________________________________ DATE _____________ PERIOD _____ 1st pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 5 100 Course 2 1. GEOMETRY If the area of a square is 29 square inches, estimate the length of each side of the square to the nearest whole number. 2. DECORATING Miki has a square rug in her living room that has an area of 19 square yards. Estimate the length of a side of the rug to the nearest whole number. 3. GARDENING Ruby is planning to put a square garden with an area of 200 square feet in her back yard. Estimate the length of each side of the garden to the nearest whole number. 4. ALGEBRA Estimate the solution of c2 = 40 to the nearest integer. 5. ALGEBRA Estimate the solution of x2 = 138.2 to the nearest integer. 6. ARITHMETIC The geometric mean of two numbers a and b can be found by evaluating √a · b . Estimate the geometric mean of 5 and 10 to the nearest whole number. 7. GEOMETRY The radius r of a certain circle is given by r = √71 . Estimate the radius of the circle to the nearest foot. 8. GEOMETRY In a triangle whose base and height are equal, the base b is given by the formula b = √2A , where A is the area of the triangle. Estimate to the nearest whole number the base of this triangle if the area is 17 square meters. 5-3 C Problem-Solving Practice Estimate Square Roots 083_102_HPC3C5_892764.indd 100 83_102_HPC3C5_892764.indd 100 2/2/10 10:03:03 PM /2/10 10:03:03 PM
NAME ________________________________________ DATE _____________ PERIOD _____ 1st pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 5 101 Course 2 Name all sets of numbers to which the real number belongs. 1. -9 2. √144 3. √35 4. − 8 11 5. 9.55 6. 5. − 3 7. − 20 5 8. - √44 Replace each with <, >, or = to make a true statement. 9. √8 2.7 10. √15 3.9 11. 5 2 − 5 √30 12. 2 − 3 10 √5.29 13. √9.8 3. − 1 14. 8. − 2 8 2 − 9 Order each set of numbers from least to greatest. Verify your answer by graphing on a number line. 15. √10 , √8 , 2.75, 2. − 8 16. 5.01, 5.0 − 1 , 5. −−01 , √26 17. - √12 , √13 , -3.5, 3.5 2.7 2.8 2.9 3 3.1 3.2 5 5.1 -4 -3 -2 -10 1 23 4 18. ALGEBRA The geometric mean of two numbers a and b is √ab . Find the geometric mean of 32 and 50. 19. ART The area of a square painting is 600 square inches. To the nearest hundredth inch, what is the perimeter of the painting? Get Connected Get Connected For more examples, go to glencoe.com. 5-3 D Homework Practice Compare Real Numbers 083_102_HPC3C5_892764.indd 101 83_102_HPC3C5_892764.indd 101 2/2/10 10:03:06 PM /2/10 10:03:06 PM
NAME ________________________________________ DATE _____________ PERIOD _____ 1st pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 5 102 Course 2 1. GEOMETRY If the area of a square is 33 square inches, estimate the length of a side of the square to the nearest tenth of an inch. 2. GARDENING Hal has a square garden in his back yard with an area of 210 square feet. Estimate the length of a side of the garden to the nearest tenth of a foot. 3. ALGEBRA Estimate the solution of a2 = 21 to the nearest tenth. 4. ALGEBRA Estimate the solution of b2 = 67.5 to the nearest tenth. 5. ARITHMETIC The geometric mean of two numbers a and b can be found by evaluating √a · b . Estimate the geometric mean of 4 and 11 to the nearest tenth. 6. ELECTRICITY In a certain electrical circuit, the voltage V across a 20 ohm resistor is given by the formula V = √20P , where P is the power dissipated in the resistor, in watts. Estimate to the nearest tenth the voltage across the resistor if the power P is 4 watts. 7. GEOMETRY The length s of a side of a cube is related to the surface area A of the cube by the formula s = √A − 6 . If the surface area is 27 square inches, what is the length of a side of the cube to the nearest tenth of an inch? 8. PETS Alicia and Didia are comparing the weights of their pet dogs. Alicia reports that her dog weighs 11 1 − 5 pounds, while Didia says that her dog weighs √125pounds. Whose dog weighs more? 5-3 D Problem-Solving Practice Compare Real Numbers 083_102_HPC3C5_892764.indd 102 83_102_HPC3C5_892764.indd 102 2/2/10 10:03:13 PM /2/10 10:03:13 PM
NAME ________________________________________ DATE _____________ PERIOD _____ 1st pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 6 103 Course 2 6-1 Use the figure at the right to answer Exercises 1–4. 1. Name two angles that are vertical. 2. Name two angles that are adjacent. 3. Find the value of x. 4. Find the value of y. Name each angle in four ways. Then classify the angle as acute, right, obtuse, or straight. 5. 3 4 4 5 6. 2 9 ; : 7. 1 $ # " 8. 3 ) ( ' 9. 7 . 1 + 10. 6 & % ' Use the figure at the right to name the following. 11. two acute angles 12. two straight angles 13. two right angles 14. two obtuse angles 1 - . 0 / 85° 95° x° y° ' ( # $ & " % ) + Get Connected Get Connected For more examples, go to glencoe.com. B Homework Practice Classify Angles 103_116_HPC3C6_892764.indd 103 03_116_HPC3C6_892764.indd 103 2/2/10 10:03:32 PM /2/10 10:03:32 PM
NAME ________________________________________ DATE _____________ PERIOD _____ 1st pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 6 104 Course 2 6-1 1. CLOCKS The time shown on the clock is 11:05. Starting at this time, approximately what time will it be when the hands form an obtuse angle? 2. AIRPORT The runways at a local airport are sketched in the figure. Classify ∠1 and ∠2 as acute, obtuse, right, or straight. 2 1 3. ALPHABET Which of the following letters contain at least one acute angle? Which contain vertical angles? Which contain adjacent angles? AELX 4. CLOCKS The time shown on the clock is 12:07. After 20 minutes have gone by, will the angle formed by the hour and minute hands be acute, obtuse, right, or straight? 5. BALLET When a ballet dancer’s feet are in first position, the heels are touching, and the feet are turned out. A dancer with excellent technique can position his or her feet so that they are nearly in a straight line. Isabella is practicing her technique. Classify the angle her feet form as acute, obtuse, or right. 6. ARCHITECTURE The plans for a new aquarium call for several hallways of exhibits leading out of a circular main room. Because of the size of the tanks that will be used, the angle formed between two adjacent hallways can be no smaller than 65˚. What is the maximum number of hallways that can be built leading out of the main room? Main Room Hallway Hallway 65° B Problem-Solving Practice Classify Angles 103_116_HPC3C6_892764.indd 104 03_116_HPC3C6_892764.indd 104 2/2/10 10:03:51 PM /2/10 10:03:51 PM
NAME ________________________________________ DATE _____________ PERIOD _____ 1st pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 6 105 Course 2 6-1 Classify each pair of angles as complementary, supplementary, or neither. 1. 1 2 2. 1 2 3. 1 2 ALGEBRA Find the value of x in each figure. 4. 22° x° 5. 65° x° 6. 43° x° 7. 29° x° 8. 110° x° 9. 72° x° ALGEBRA Find the value of x in each figure. 10. 49° x° 11. 92° 78° x° 12. 19° x° 13. ALGEBRA If ∠C and ∠D are supplementary, and the measure of ∠D is 45°, what is the measure of ∠C? Get Connected Get Connected For more examples, go to glencoe.com. C Homework Practice Complementary and Supplementary Angles 103_116_HPC3C6_892764.indd 105 03_116_HPC3C6_892764.indd 105 2/2/10 10:03:57 PM /2/10 10:03:57 PM
NAME ________________________________________ DATE _____________ PERIOD _____ 1st pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 6 106 Course 2 6-1 1. PYRAMIDS A side view of the Great Pyramid at Giza is shown below. The sides of the pyramid make an angle of 52˚ with respect to the ground. What is the value of x? 52° x° 2. RAILROAD A map shows a railroad crossing a highway, as shown below. Which of the numbered angles are supplementary angles? Railroad Highway 1 2 3 3. RAILROAD Refer to the map shown in Exercise 2. If m∠1 is 64˚, what is the measure of ∠2? 4. SKIING A ski jump makes an angle of 27˚ with respect to the water as shown below. How are the 27˚ angle and the unknown angle related? What is the value of x? x° 27° 5. KITES A kite string makes an angle of 48˚ with respect to the ground as shown below. The dashed line is vertical and the ground is horizontal. How are the 48˚ angle and the unknown angle related? What is the value of x? x° 48° 6. GAMES In a game of pick-up-sticks, the last 4 sticks are shown below. Which of the numbered angles are supplementary angles? 3 4 5 6 7 8 1 2 C Problem-Solving Practice Complementary and Supplementary Angles 103_116_HPC3C6_892764.indd 106 03_116_HPC3C6_892764.indd 106 2/2/10 10:04:12 PM /2/10 10:04:12 PM
NAME ________________________________________ DATE _____________ PERIOD _____ 1st pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 6 107 Course 2 6-1 Use logical reasoning to solve Exercises 1 and 2. 1. NUMBER SENSE Simplify each product of powers. Then use logical reasoning to simplify 104 × 0.14 , 105 × 0.15 , and 1012 × 0.112. Product of Powers Simplified Form 102 × 0.12 103 × 0.13 107 × 0.17 2. MEASUREMENT You have a pen that is 6 inches long and a pencil that is 7 inches long. Explain how you can use the pen and pencil to draw a line segment that is 3 inches long. Use any strategy to solve Exercises 3–6. Some strategies are shown below. PROBLEM-SOLVING STRATEGIES • Use logical reasoning. • Look for a pattern. • Guess, check, and revise. • Choose an operation. 3. SPORTS At the end of a baseball game, the winning team had three more runs than their opponents. If they had scored 1 more run, they would have had twice as many as their opponents. How many runs did each team have? 4. SHOPPING Brittany bought five items at the grocery store for her mother. From the given clues, list the items from least expensive to most expensive. • The peanut butter cost less than the sliced turkey. • The sliced turkey cost half as much as the birthday cake. • The peanut butter cost $0.20 more than the milk. • The price of the lettuce was 40% of the price of the milk. 5. SOLAR SYSTEM Jupiter is the largest planet in the solar system with a diameter of 88,736 miles. Saturn is the second largest planet with a diameter of 74,978 miles. How much greater is the diameter of Jupiter than the diameter of Saturn? 6. TRAVEL Mr. Bradley often flies from Chicago to San Francisco and back again, a total distance of 3,716 miles. If he made this trip 25 times last year, find the total distance Mr. Bradley traveled on these trips. Mixed Problem Solving Get Connected Get Connected For more examples, go to glencoe.com. D Homework Practice Problem-Solving Investigation: Use Logical Reasoning 103_116_HPC3C6_892764.indd 107 03_116_HPC3C6_892764.indd 107 2/2/10 10:04:19 PM /2/10 10:04:19 PM
NAME ________________________________________ DATE _____________ PERIOD _____ 1st pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 6 108 Course 2 6-1 Solve each problem using logical reasoning. 1. GEOMETRY A solid figure has two triangular faces and three square faces. Is the figure a pyramid, a triangular prism, or a cube? Explain. 2. MEASUREMENT Can you use a 4-pint container and a 9-pint container to fill a 10-pint container? Explain. 3. MONEY After a visit to the mall, Ray and Mary counted their money to see how much they had left. Ray said, “If I had $8 more, I would have as much as you.” Mary replied, “If I had $8 more, I would have twice as much as you.” How much money does each person have? Explain. 4. SPORTS Wade, Rich, Sue, Destin, and Tracey were the first five finishers of a race. From the given clues, state the order in which they finished: Rich finished behind Destin, Sue was fifth, Tracey finished ahead of Wade, and Destin finished behind Wade. 5. NUMBER SENSE The sum of two numbers is equal to 15. The product of the numbers is 44. What are the two numbers? 6. GEOMETRY A regular hexagon has 6 hexagons surrounding it. Each of the 6 hexagons shares a side with the middle hexagon and with the hexagon next to it. If each of the hexagons has 2-inch sides, what is the perimeter of the figure? D Problem-Solving Practice Problem-Solving Investigation: Use Logical Reasoning 103_116_HPC3C6_892764.indd 108 03_116_HPC3C6_892764.indd 108 2/2/10 10:04:23 PM /2/10 10:04:23 PM
NAME ________________________________________ DATE _____________ PERIOD _____ 1st pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 6 109 Course 2 For Exercises 1–6, use the figure at the right. In 1 2 4 3 5 6 7 8 9 10 N O the figure, line m is parallel to line n. List all pairs of each type of angle. 1. vertical 2. complementary 3. supplementary 4. corresponding 5. alternate interior 6. alternate exterior Use the figure at the right for Exercises 7–10. 7. Find the measure of ∠2. Explain your reasoning. 1 2 3 5 4 6 7 86° 8. Find the measure of ∠3. Explain your reasoning. 9. Find the measure of ∠4. Explain your reasoning. 10. Find the measure of ∠6. Explain your reasoning. 11. ALGEBRA Angles A and B are corresponding angles. If m∠A = 4x and m∠B = 3x + 7, find the value of x. Explain 12. ALGEBRA Angles G and H are supplementary and congruent. If ∠G and ∠H are alternate interior angles, what is the measure of each angle? Get Connected Get Connected For more examples, go to glencoe.com. 6-2 B Homework Practice Lines 103_116_HPC3C6_892764.indd 109 03_116_HPC3C6_892764.indd 109 2/2/10 10:04:26 PM /2/10 10:04:26 PM
NAME ________________________________________ DATE _____________ PERIOD _____ 1st pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 6 110 Course 2 1. SYMBOLS The symbol below is an equal sign with a slash through it. It is used to represent not equal to in math, as in 1 ≠ 2. If m∠1 = 108°, classify the relationship between ∠1 and ∠2. Then find m∠2. Assume the equal sign consists of parallel lines. ≠ 1 2 2. BRIDGE Arturo is designing a bridge for science class using parallel supports for the top and bottom beam. Find m∠2 if m∠1 = 60°. 2 1 3. LEG LIFTS For cheerleading practice, Kiara must be able to lift her legs so that they are parallel to her outstretched arms. For each side of her body, what is the relationship between the angle formed by her arms and the floor and the angle formed by her legs and the floor? 4. ALGEBRA In the figure, line m is parallel to line n. If m∠3 = 7x-10 and m∠6 = 5x + 10, What is the measure of ∠3 and ∠6? 1 2 3 4 5 6 7 8 Q N O 5. ALGEBRA Refer to the figure in Exercise 4. If m∠1 = 4x + 40, and m∠5 = 120°, what is the value of x? 6. ART The drawing below shows the side view of a drawing easel. The brace is parallel to the ground. If m∠A is 82°, what is the measure of ∠B? A B 6-2 B Problem-Solving Practice Lines 103_116_HPC3C6_892764.indd 110 03_116_HPC3C6_892764.indd 110 2/2/10 10:04:32 PM /2/10 10:04:32 PM
NAME ________________________________________ DATE _____________ PERIOD _____ 1st pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 6 111 Course 2 Get Connected Get Connected For more examples, go to glencoe.com. Find the value of x in each triangle. 1. 42 x 2. 22 140 x 3. 17 x 4. 29 61 x 5. 41 37 x 6. 60 60 x Find the missing measure in each triangle with the given angle measures. 7. 45°, 35, x° 8. 100°, x°, 40 9. x°, 90°, 16 10. Find the third angle of a right triangle if one of the angles measures 24°. 11. What is the third angle of a right triangle if one of the angles measures 51°? 12. ALGEBRA Find m∠A in ABC if m∠B = 38° and m∠C = 38°. 13. ALGEBRA In XYZ, m∠Z = 113° and m∠ X = 28°. What is m∠Y? Classify the marked triangle in each object by its angles and by its sides. 14. 25 15. 40 50 16. 30 30 ALGEBRA Find the value of x in each triangle. 17. 2x 2x x 18. 7x 3x 19. 2x x x 6-3 B Homework Practice Triangles 103_116_HPC3C6_892764.indd 111 03_116_HPC3C6_892764.indd 111 2/2/10 10:04:38 PM /2/10 10:04:38 PM
NAME ________________________________________ DATE _____________ PERIOD _____ 1st pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 6 112 Course 2 1. TAILORING Each lapel on a suit jacket is in the shape of a triangle. The three angles of each triangle measure 47˚, 68˚, and 65˚. Classify the triangle by its angles. 2. FLAGS A naval distress signal flag is in the shape of a triangle. The three sides of the triangle measure 5 feet, 9 feet, and 9 feet. Classify the triangle by its sides. 3. CARPENTRY The supports of a wooden table are in the shape of a triangle. Find the angles of the triangle if the measures of the angles are in the ratio 4x : 4x : 10x. 4. MAPS The three towns of Ripon, Sparta, and Walker form a triangle as shown below. Classify the triangle by its angles and by its sides. What is the value of x in the triangle? 38 104 x Ripon Sparta Walker 30 mi 47 mi 30 mi 5. HIKING The figure shows the Oak Creek trail, which is shaped like a triangle. Classify the triangle by its angles and by its sides. What is the value of x in the figure? 61 78 x Rocky Peak Meadow Trail Head 1.2 mi 0.8 mi 1.1 mi Oak Creek 5. LADDER The figure shows a ladder learning against a wall, forming a triangle. Classify the triangle by its angles and by its sides. What is the value of x in the figure? 66 x 9 ft 4 ft 6-3 B Problem-Solving Practice Triangles 103_116_HPC3C6_892764.indd 112 03_116_HPC3C6_892764.indd 112 2/2/10 10:04:49 PM /2/10 10:04:49 PM
NAME ________________________________________ DATE _____________ PERIOD _____ 1st pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 6 113 Course 2 Classify each quadrilateral using the name that best describes it. 1. 2. 3. ALGEBRA Find the missing angle measure in each quadrilateral. 4. 107 96 80 x 5. 126 78 54 x 6. 130 50 50 x 7. 125 x 8. 120 110 60 x 9. 152 x Find the missing angle measure in each quadrilateral with the given angle measures. 10. 63°, 56°, 111°, x° 11. 31°, x°, 161°, 51° 12. x°, 122°, 53°, 90° 13. 83°, 137°, x°, 28° 14. ALGEBRA Find m∠C in quadrilateral ABCD if m∠A = 110°, m∠B = 88°, and m∠D = 55°. 15. ALGEBRA What is m∠Z in quadrilateral WXYZ if m∠W = 86°, m∠X = 88°, and m∠Y = 92°? ALGEBRA Find the value of x in each quadrilateral. 16. 68 68 x x 17. 60 60 x x 18. 3x 3x 3x 3x Get Connected Get Connected For more examples, go to glencoe.com. 6-3 D Homework Practice Quadrilaterals 103_116_HPC3C6_892764.indd 113 03_116_HPC3C6_892764.indd 113 2/2/10 10:04:54 PM /2/10 10:04:54 PM
NAME ________________________________________ DATE _____________ PERIOD _____ 1st pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 6 114 Course 2 1. KITES A kite is shown below. What is the best name to classify the shape of the kite? Explain. 2. MAPS A map showing the road connecting the towns of Pike, Hudson, Placid, and Alton is shown. The road connecting Pike and Hudson is parallel to the road connecting Alton and Placid. What is the best name to classify the shape of the roads connecting the four towns? Explain. Pike Hudson Alton Placid N 3. ART A picture frame is shown below. What is the best name to classify the shape of the frame? 1 ft 1 ft 4. SCHOOL SUPPLIES The side view of an eraser is shown below. What is the best name to classify the shape of the eraser? 5. PARTY The front of a birthday party invitation is shown below. Find the measure of the missing angle. 60° 120° 120° x° PARTY! 6. TABLE The top of Mr. Bautista’s new coffee table is shown below. Find the measure of the missing angle. 60° 120° 100° x° 6-3 D Problem-Solving Practice Quadrilaterals 103_116_HPC3C6_892764.indd 114 03_116_HPC3C6_892764.indd 114 2/2/10 10:05:04 PM /2/10 10:05:04 PM
NAME ________________________________________ DATE _____________ PERIOD _____ 1st pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 6 115 Course 2 Find the sum of the interior angle measures of each polygon. 1. pentagon 2. decagon 3. 16-gon 4. 18-gon 5. 30-gon 6. 34-gon Find the measure of one interior angle in each regular polygon. Round to the nearest tenth if necessary. 7. pentagon 8. octagon 9. 24-gon ALGEBRA For Exercises 10 and 11, determine the angle measures in each polygon. 10. 5x° x° 5x° x° 11. 135° x° 135° x° x° 12. FLOORING A floor is tiled with a pattern consisting of regular octagons and squares as shown. Find the measure of each angle at the circled vertex. Then find the sum of the angles. 13. ART Rachaunn is laying out a pattern for a stained glass window. So far he has placed the 13 regular polygons shown. Find the measure of each angle at the circled vertex. Then find the sum of the angles. 14. REASONING Vanessa’s mother made a quilt using a pattern of repeating regular hexagons as shown. Will Vanessa be able to make a similar quilt with a pattern of repeating regular pentagons? Explain your reasoning. Get Connected Get Connected For more examples, go to glencoe.com. 6-3 E Homework Practice Polygons and Angles 103_116_HPC3C6_892764.indd 115 03_116_HPC3C6_892764.indd 115 2/2/10 10:05:09 PM /2/10 10:05:09 PM
NAME ________________________________________ DATE _____________ PERIOD _____ 1st pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 6 116 Course 2 1. FLOORING Ashley’s kitchen floor is made from a tessellation of rows of regular octagons. The space between them is filled with square tiles as shown below. Find the measure of one interior angle in both the octagon and the square tiles. 2. CIRCLES As the number of sides of a regular polygon increase, the polygon gets closer and closer to a true circle. The interior angles of any regular polygon can never actually reach 180°. How many sides would a polygon have if its interior angles are exactly 179°? 3. GEOMETRY A trapezoid has angles that measure 3x°, 3x°, x°, and x°. What is the measure of x? 3x° 3x° x° x° 4. GEOMETRY An irregular heptagon has angles that measure x°, x°, 2x°, 2x°, 3x°, 3x°, and 4x°. What is the measure of x? x 2x 3x 4x 5. TILES A bathroom tile consists of regular hexagons surrounded by regular triangles as shown below. Find the measure of one interior angle in both the hexagon and the triangle tiles. 6. CHALLENGE How many sides does a regular polygon have if the measure of an interior angle is 171°? For Exercises 1–6, use the formula S = (n - 2)180° to solve. 6-3 E Problem-Solving Practice Polygons and Angles 103_116_HPC3C6_892764.indd 116 03_116_HPC3C6_892764.indd 116 2/2/10 10:05:17 PM /2/10 10:05:17 PM
NAME ________________________________________ DATE _____________ PERIOD _____ 1st pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 7 117 Course 3 7-1 A Use the draw a diagram strategy to solve Exercises 1 and 2. 1. SWIMMING Jon is separating the width of the swimming pool into equal-sized lanes with rope. It took him 30 minutes to create 6 equal-sized lanes. How long would it take him to create 4 equalsized lanes in a similar swimming pool? 2. TRAVEL Two planes are flying from San Francisco to Chicago, a distance of 1,800 miles. They leave San Francisco at the same time. After 30 minutes, one plane has traveled 25 more miles than the other plane. How much longer will it take the slower plane to get to Chicago than the faster plane if the faster plane is traveling at 500 miles per hour? Use any strategy to solve Exercises 3–6. Some strategies are shown below. PROBLEM-SOLVING STRATEGIES Draw a diagram. Work backward. Look for a pattern. Choose an operation. • • • • 3. TALENT SHOW In a solo singing and piano playing show, 18 people sang and 14 played piano. Six people both sang and played piano. How many people were in the singing and piano playing show? 4. LETTERS Suppose you have three strips of paper as shown. How many capital letters of the alphabet could you form using one or more of these three strips for each letter? List them according to the number of strips. 5. CLOTHING A store has 255 wool ponchos to sell. There are 112 adult-sized ponchos that sell for $45 each. The rest are kid-sized and sell for $32 each. If the store sells all the ponchos, how much money will the store receive? 6. DINOSAURS Brad made a model of a Stegosaurus. If you multiply the model’s length by 8 and subtract 4, you will find the length of an average Stegosaurus. If the actual Stegosaurus is 30 ft long, how long is Brad’s model? Mixed Problem Solving Get Connected Get Connected For more examples, go to glencoe.com. Homework Practice Problem-Solving Investigation: Draw a Diagram 117_132_HPC3C7_892764.indd 117 17_132_HPC3C7_892764.indd 117 2/2/10 10:05:41 PM /2/10 10:05:41 PM
NAME ________________________________________ DATE _____________ PERIOD _____ 1st pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 7 118 Course 3 7-1 A 1. TILING Kelly is using 3-inch square tiles to cover a 4-foot by 2-foot area. The tiles are 0.5 inch tall. If the tiles were stacked on top of each other to create a tower, how many inches tall would the tower be? 2. AQUARIUM An aquarium holds 42 gallons of water. After 2 minutes, the aquarium has 3 gallons of water in it. How many more minutes will it take to completely fill the aquarium? 3. FABRIC It takes Lucy 7 minutes to cut a 20-yard-by-1-yard roll of fabric into 14 equal pieces. How many minutes would it take her to cut the fabric into 25 equal pieces? 4. FIXTURES Mr. Sanchez is installing in-ground lighting fixtures every 30 inches around the perimeter of his swimming pool. His swimming pool is in the shape of a rectangle with dimensions 15 feet by 20 feet. How many lighting fixtures does he need? 5. BEVERAGES It requires 4 gallon jugs of water to fill 104 glasses equally. How many gallon jugs are required to fill 338 glasses equally? 6. GAS It takes Richard 48 seconds to fill his gas tank with 3 gallons of gas. If the tank holds 14 gallons, how many more seconds will it take to fill it completely? For Exercises 1–6, use the draw a diagram strategy to solve the problem. Problem-Solving Practice Problem-Solving Investigation: Draw a Diagram 117_132_HPC3C7_892764.indd 118 17_132_HPC3C7_892764.indd 118 2/2/10 10:05:55 PM /2/10 10:05:55 PM
NAME ________________________________________ DATE _____________ PERIOD _____ 1st pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 7 119 Course 3 7-1 Get Connected Get Connected For more examples, go to glencoe.com. Determine whether each pair of polygons is similar. Explain. 1. 5 13 17 8 15 12 2. 45 22.8 7.6 5 8 15 15 24 Each pair of polygons is similar. Find each missing side measure. 3. 4 4 10 x 5.6 4. 12 6 6 9 3 18 18 x 5. 6 4 4.5 4 6 x 6. 3.5 5 8 20 14 x 7. TILES A blue rectangular tile and a red rectangular tile are similar. The blue tile has a length of 10 inches and a perimeter of 30 inches. The red tile has a length of 6 inches. What is the perimeter of the red tile? B Homework Practice Similar Polygons 117_132_HPC3C7_892764.indd 119 17_132_HPC3C7_892764.indd 119 2/2/10 10:06:01 PM /2/10 10:06:01 PM
NAME ________________________________________ DATE _____________ PERIOD _____ 1st pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 7 120 Course 3 7-1 1. JOURNALISM The editor of the school newspaper must reduce the size of a graph to fit in one column. The original graph is 2 inches by 2 inches, and the scale factor from the original to the reduced graph is 8:3. Find the dimensions of the graph as it will appear in one column of the newspaper. 2. PHOTOCOPIES Lydia plans to use a photocopy machine to increase the size of a small chart that she has made as part of her science project. The original chart is 4 inches by 5 inches. If she uses a scale factor of 5:11, will the chart fit on a sheet of paper 8 1 − 2 inches by 11 inches? Explain. 3. MICROCHIPS The image of a microchip in a projection microscope measures 8 inches by 10 inches. The width of the actual chip is 4 millimeters. How long is the chip? 4. PROJECTIONS A drawing on a transparency is 11.25 centimeters wide by 23.5 centimeters tall. The width of the image of the drawing projected onto a screen is 2.7 meters. How tall is the drawing on the screen? 5. GEOMETRY Polygon ABCD is similar to polygon FGHI. Each side of polygon ABCD is 3 1 − 4 times longer than the corresponding side of polygon FGHI. Find the perimeter of polygon ABCD. # " % * ) ' ( $ 3 in. 2 in. 5 in. 3 in. 6. KITES A toy company produces two kites whose shapes are geometrically similar. Find the length of the missing side of the smaller kite. 25 in. 25 in. 30 in. 22.5 in. 30 in. x B Problem-Solving Practice Similar Polygons 117_132_HPC3C7_892764.indd 120 17_132_HPC3C7_892764.indd 120 2/2/10 10:06:05 PM /2/10 10:06:05 PM
NAME ________________________________________ DATE _____________ PERIOD _____ 1st pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 7 121 Course 3 7-1 1. TREES How tall is Yori? 3. LAKE How deep is the water 31.5 feet from the shore? (Hint: ABC ∼ ADE) GU GU GU EGU & # % $ " 2. TREASURE HUNT How far is it from the hut to the gold coins? 15 yd 18 yd 12 yd x yd Gold Coins Shovel Hut Silver Coins Jewels 4. SURVEYING How far is it across the pond? (Hint: RST ∼ RUV) N N N 3 4 7 6 5 EN In Exercises 1-4, the triangles are similar. Write a proportion and solve the problem. For Exercise 5, draw a diagram of the situation. Then write a proportion and solve the problem. 5. ARCH The Gateway Arch in St. Louis, Missouri, is 630 feet tall. Suppose a 12-foot tall pole that is near the Arch casts a 5-foot shadow. How long is the Arch’s shadow? Get Connected Get Connected For more examples, go to glencoe.com. GU GU GU I D Homework Practice Indirect Measurement 117_132_HPC3C7_892764.indd 121 17_132_HPC3C7_892764.indd 121 2/2/10 10:06:09 PM /2/10 10:06:09 PM
NAME ________________________________________ DATE _____________ PERIOD _____ 1st pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 7 122 Course 3 7-1 1. HEIGHT Eduardo is 6 feet tall and casts a 12-foot shadow. At the same time, Diane casts an 11-foot shadow. How tall is Diane? 2. LIGHTING If a 25-foot-tall house casts a 75-foot shadow at the same time that a streetlight casts a 60-foot shadow, how tall is the streetlight? 3. FLAGPOLE Lena is 5 1 − 2 feet tall and casts an 8-foot shadow. At the same time, a flagpole casts a 48-foot shadow. How tall is the flagpole? 4. LANDMARKS A woman who is 5 feet 5 inches tall is standing near the Space Needle in Seattle, Washington. She casts a 13-inch shadow at the same time that the Space Needle casts a 121-foot shadow. How tall is the Space Needle? 5. NATIONAL MONUMENTS A 42-foot flagpole near the Washington Monument casts a shadow that is 14 feet long. At the same time, the Washington Monument casts a shadow that is 185 feet long. How tall is the Washington Monument? 6. ACCESSIBILITY A ramp slopes upward from the sidewalk to the entrance of a building at a constant incline. If the ramp is 2 feet high when it is 5 feet from the sidewalk, how high is the ramp when it is 7 feet from the sidewalk? 2 ft 5 ft D Problem-Solving Practice Indirect Measurement 117_132_HPC3C7_892764.indd 122 17_132_HPC3C7_892764.indd 122 2/2/10 10:06:16 PM /2/10 10:06:16 PM
NAME ________________________________________ DATE _____________ PERIOD _____ 1st pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 7 123 Course 3 7-1 Find the tangent of each acute angle. Round to the nearest hundredth. Explain its meaning. 1. & % ' 70 cm 30 cm 2. ) * ( 29 yd 14 yd 3. ROOF A roof has an angle of 32°. If the length of the base of the roof is 48 feet, how tall is the roof? 4. LOADING DOCK The base of a loading dock ramp is 41 feet long. The height of the ramp is 7 feet. What is the angle of elevation for the ramp? Round to the nearest tenth of a degree. 5. KITE Nikky is standing 400 feet from his kite. He is looking at the kite at a 31° angle of elevation. How far above Nikky is his kite? Round to the nearest tenth of a foot. 31 400 ft x ft Get Connected Get Connected For more examples, go to glencoe.com. 32 48 ft x ft E Homework Practice The Tangent Ratio 117_132_HPC3C7_892764.indd 123 17_132_HPC3C7_892764.indd 123 2/2/10 10:06:19 PM /2/10 10:06:19 PM
NAME ________________________________________ DATE _____________ PERIOD _____ 1st pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 7 124 Course 3 7-1 1. LADDER The foot of a ladder is 4 feet from the base of a house. The ladder makes a 72° angle with the ground. How high up on the house is the top of the ladder resting? Round to the nearest tenth of a foot. 2. BUILDING Brenda is standing 31 feet from the base of a building. She is looking at the top at a 62° angle of elevation. How tall is the building? Round to the nearest tenth of a foot. 3. SKIING The base of a ski jump ramp is 7 meters long. The ramp is 2 meters high. What is the angle of inclination for the ramp? Round to the nearest tenth of a degree. 4. HAMSTERS Corky is building a small runway for his pet hamster Cecil. The runway is shown below. How high is it? Round to the nearest tenth of a centimeter. Runway Runway 30 cm 20° h cm 5. BOATING Cletus is in his boat when he spots Delilah on a hill. The boat is 40 yards from the base of the hill. He is looking at Delilah at a 52° angle of elevation. How high is the hill? Round to the nearest tenth of a yard. 6. SQUIRRELS Jay spotted a squirrel sitting at the top of a 25 foot flagpole. Jay knows that he is standing 10 feet from the pole. Find the angle of elevation for Jay’s sight. Round to the nearest tenth of a degree. 7. MAGIC Minnie the magician has a dog in her act that climbs the ramp shown. How high is the ramp? 6 ft 30° h E Problem-Solving Practice The Tangent Ratio 117_132_HPC3C7_892764.indd 124 17_132_HPC3C7_892764.indd 124 2/2/10 10:06:26 PM /2/10 10:06:26 PM
NAME ________________________________________ DATE _____________ PERIOD _____ 1st pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 7 125 Course 3 Write an equation you could use to find the length of the missing side of each right triangle. Then find the missing length. Round to the nearest tenth if necessary. 1. 10 ft b ft 8 ft 2. 26 in. 24 in. a in. 3. 18 cm 15 cm c cm 4. 14 yd 28 yd a yd 5. 50 mm 50 mm c mm 6. 45 m 64 m c m 7. a, 65 cm; c, 95 cm 8. a, 16 yd; b, 22 yd Determine whether each triangle with sides of given lengths is a right triangle. Justify your answer. 9. 18 ft, 23 ft, 29 ft 10. 7 yd, 24 yd, 25 yd 11. The hypotenuse of a right triangle is 15 inches, and one of its legs is 11 inches. Find the length of the other leg. 12. A leg of a right triangle is 30 meters long, and the hypotenuse is 35 meters long. What is the length of the other leg? 13. TELEVISIONS The diagonal of a television measures 27 inches. If the width of a 27-inch is 22 inches, calculate its height to the nearest inch. Get Connected Get Connected For more examples, go to glencoe.com. 7-2 B Homework Practice The Pythagorean Theorem 117_132_HPC3C7_892764.indd 125 17_132_HPC3C7_892764.indd 125 2/2/10 10:06:30 PM /2/10 10:06:30 PM
NAME ________________________________________ DATE _____________ PERIOD _____ 1st pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 7 126 Course 3 1. ART What is the length of a diagonal of a rectangular picture whose sides are 12 inches by 17 inches? Round to the nearest tenth of an inch. 2. GARDENING Ross has a rectangular garden in his back yard. He measures one side of the garden as 22 feet and the diagonal as 33 feet. What is the length of the other side of his garden? Round to the nearest tenth of a foot. 3. TRAVEL Troy drove 8 miles due east and then 5 miles due north. How far is Troy from his starting point? Round the answer to the nearest tenth of a mile. 4. GEOMETRY What is the perimeter of a right triangle if the hypotenuse is 15 centimeters and one of the legs is 9 centimeters? 5. ART Anna is building a rectangular picture frame. If the sides of the frame are 20 inches by 30 inches, what should the diagonal measure? Round to the nearest tenth of an inch. 6. CONSTRUCTION A 20-foot ladder leaning against a wall is used to reach a window that is 17 feet above the ground. How far from the wall is the bottom of the ladder? Round to the nearest tenth of a foot. 7. CONSTRUCTION A door frame is 80 inches tall and 36 inches wide. What is the length of a diagonal of the door frame? Round to the nearest tenth of an inch. 8. TRAVEL Tina measures the distances between three cities on a map. The distances between the three cities are 45 miles, 56 miles, and 72 miles. Do the positions of the three cities form a right triangle? 7-2 B Problem-Solving Practice The Pythagorean Theorem 117_132_HPC3C7_892764.indd 126 17_132_HPC3C7_892764.indd 126 2/2/10 10:06:36 PM /2/10 10:06:36 PM
NAME ________________________________________ DATE _____________ PERIOD _____ 1st pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 7 127 Course 3 Write an equation that can be used to answer the question. Then solve. Round to the nearest tenth if necessary. 1. How far is the ship from 2. How long is the wire 3. How far above the water is the lighthouse? supporting the sign? the person parasailing? 6 mi 8 mi d 2 ft Open 24/7 1.5 ft w 100 yd 80 yd p 4. How wide is the pond? 5. How high is the ramp? 6. How high is the end of the ladder against the building? w 95 ft 120 ft 21 ft 19 ft h 13 ft 4 ft h 7. GEOGRAPHY Suppose Birmingham, Huntsville, and Birmingham Gadsden Huntsville 98 mi 61 mi d Gadsden, Alabama, form a right triangle. What is the distance from Huntsville to Gadsden? Round to the nearest tenth if necessary. 8. GEOMETRY Find the diameter d of the circle in the figure d 18 ft 22 ft at the right. Round to the nearest tenth if necessary. Get Connected Get Connected For more examples, go to glencoe.com. 7-2 C Homework Practice Use The Pythagorean Theorem 117_132_HPC3C7_892764.indd 127 17_132_HPC3C7_892764.indd 127 2/2/10 10:06:39 PM /2/10 10:06:39 PM
NAME ________________________________________ DATE _____________ PERIOD _____ 1st pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 7 128 Course 3 1. RECREATION A pool table is 8 feet long and 4 feet wide. How far is it from one corner pocket to the diagonally opposite corner pocket? Round to the nearest tenth. 2. TRIATHLON The course for a local triathlon has the shape of a right triangle. The legs of the triangle consist of a 4-mile swim and a 10-mile run. The hypotenuse of the triangle is the biking portion of the event. How far is the biking part of the triathlon? Round to the nearest tenth if necessary. 3. LADDER A ladder 17 feet long is leaning against a wall. The bottom of the ladder is 8 feet from the base of the wall. How far up the wall is the top of the ladder? Round to the nearest tenth if necessary. 4. TRAVEL Tara drives due north for 22 miles then east for 11 miles. How far is Tara from her starting point? Round to the nearest tenth if necessary. 5. FLAGPOLE A wire 30 feet long is stretched from the top of a flagpole to the ground at a point 15 feet from the base of the pole. How high is the flagpole? Round to the nearest tenth if necessary. 6. ENTERTAINMENT Isaac’s television is 25 inches wide and 18 inches high. What is the diagonal size of Isaac’s television? Round to the nearest tenth if necessary. 7-2 C Problem-Solving Practice Use the Pythagorean Theorem 117_132_HPC3C7_892764.indd 128 17_132_HPC3C7_892764.indd 128 2/2/10 10:06:47 PM /2/10 10:06:47 PM
NAME ________________________________________ DATE _____________ PERIOD _____ 1st pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 7 129 Course 3 Graph each pair of ordered pairs. Then find the distance between the points. Round to the nearest tenth if necessary. 1. (4, 3), (1, -1) 2. (3, 2), (0, -4) 3. (-4, 3.5), (2, 1.5) Use the Distance Formula to find the distance between each pair of points. Round to the nearest tenth if necessary. 4. W(2, 5), U(–4, 3) 5. A(–1, 7), B(–3, –5) 6. P(1, 1), Q(–1, –1) 7. M(5, –3), N(9, 1) 8. C(–4, –8), D(2, 2) 9. R(–4, 2), S(–4, –9) 10. E(1 − 2 , 4 1 − 4), F(5, – 1 − 2) 11. J(5.4, –3.2), K(4, –1.2) 12. A(5 1 − 5 , 2), B (–1, 2 1 − 5) 13. Find the distance between points R and S shown at the right. Round to the nearest tenth. 14. GEOMETRY If one point is located at (-6, 2) and another point is located at (6, -3), find the distance between the points. Get Connected Get Connected For more examples, go to glencoe.com. R S x y 0 7-2 D Homework Practice Distance on the Coordinate Plane 117_132_HPC3C7_892764.indd 129 17_132_HPC3C7_892764.indd 129 2/2/10 10:06:49 PM /2/10 10:06:49 PM
NAME ________________________________________ DATE _____________ PERIOD _____ 1st pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 7 130 Course 3 1. ARCHAEOLOGY An archaeologist at a dig sets up a coordinate system using string. Two similar artifacts are found—one at position (1, 4) and the other at (5, 2). How far apart were the two artifacts? Round to the nearest tenth of a unit if necessary. 2. GARDENING Vega set up a coordinate system with units of feet to locate the position of the vegetables she planted in her garden. She has a tomato plant at (1, 3) and a pepper plant at (5, 6). How far apart are the two plants? Round to the nearest tenth if necessary. 3. CHESS April is an avid chess player. She sets up a coordinate system on her chess board so she can record the position of the pieces during a game. In a recent game, April noted that her king was at (4, 2) at the same time that her opponent’s king was at (7, 8). How far apart were the two kings? Round to the nearest tenth of a unit if necessary. 4. MAPPING Cory makes a map of his favorite park, using a coordinate system with units of yards. The old oak tree is at position (4, 8) and the granite boulder is at position (-3, 7). How far apart are the old oak tree and the granite boulder? Round to the nearest tenth if necessary. 5. TREASURE HUNTING Taro uses a coordinate system with units of feet to keep track of the locations of any objects he finds with his metal detector. One lucky day he found a ring at (5, 7) and an old coin at (10, 19). How far apart were the ring and coin before Taro found them? Round to the nearest tenth if necessary. 6. GEOMETRY The coordinates of points A and B are (-7, 5) and (4, -3), respectively. What is the distance between the points, rounded to the nearest tenth? 7. GEOMETRY The coordinates of points A, B, and C are (5, 4), (-2, 1), and (4, -4), respectively. Which point, B or C, is closer to point A? 8. THEME PARK Bryce is looking at a map of a theme park. The map is laid out in a coordinate system. Bryce is at (2, 3). The roller coaster is at (7, 8), and the water ride is at (9, 1). Is Bryce closer to the roller coaster or the water ride? 7-2 D Problem-Solving Practice Distance on the Coordinate Plane 117_132_HPC3C7_892764.indd 130 17_132_HPC3C7_892764.indd 130 2/2/10 10:06:53 PM /2/10 10:06:53 PM
NAME ________________________________________ DATE _____________ PERIOD _____ 1st pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 7 131 Course 3 Find each missing measure. 1. 29.6 m 30° 60° Y Z 2. 12.1 cm Y 12.1 cm 45° 45° 3. 42 dm 42 dm Y 45° 45° 4. 17 ft Y Z 30° 60° 5. 11.1 in. 11.1 in. 45° 45° Y 6. 70 cm 60° 30° Y Z 7. In a 30°-60°-90° triangle, the hypotenuse is 7 yards long. Find the exact lengths of the legs. 8. In a 45°-45°-90° triangle, a leg is 11.2 meters long. Find the exact length of the hypotenuse. 9. SAILING The sail on Milton’s schooner is the shape of a 30°-60°-90° triangle. The length of the hypotenuse is 45 feet. Find the lengths of the legs. Round to the nearest tenth. 10. DOG PENS Rebecca built a dog pen, for her dog Roscoe, in the shape of a 45°-45°-90° triangle. The length of a leg is 21 feet. Find the length of the hypotenuse. Round to the nearest tenth. Get Connected Get Connected For more examples, go to glencoe.com. 7-2 F Homework Practice Special Right Triangles 117_132_HPC3C7_892764.indd 131 17_132_HPC3C7_892764.indd 131 2/2/10 10:06:57 PM /2/10 10:06:57 PM
NAME ________________________________________ DATE _____________ PERIOD _____ 1st pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 7 132 Course 3 1. PAINTING Warren is painting his house using a 20 foot ladder. The ladder makes a 60° angle with the ground. How high up on the house is the top of the ladder? 2. FLOWER BED Micho’s flower bed is in the shape of a 45°-45°-90° triangle. If the lengths of the legs of the flower bed are 18.5 feet, what is the exact length of the hypotenuse? Round to the nearest tenth. 3. CHESS Chess is played on a square board similar to the one shown below. What is the exact length of the diagonal of the chess board? 16 in. 16 in. 4. TRIANGLES Alfonso constructed a 30°-60°-90° triangle out of cardboard. If the length of the hypotenuse is 44 centimeters, what is exact length of the longest leg? 5. CLOTHES POLE Devan dug two holes and cemented his two 5-foot clothes poles vertically into the ground. The next day one of them was leaning over at a 60° angle with the ground. How high is the top of the leaning clothes pole from the ground? 6. LIVING ROOM Mertles’s living room is in the shape of a square. If her room is 21 feet by 21 feet, what is the exact length of the diagonal of the room? 7. PENNANT Coye has a pennant of her favorite baseball team, the Tampa Bay Rays. It is in the shape of a 30°-60°-90° triangle. What is the exact length of the shorter side if the length of the hypotenuse is 74 centimeters? 8. BIRTHDAY CAKE Rosa made a birthday cake in the shape of a 45°-45°-90° triangle. If the length of the legs of the cake is 14 inches, what is the exact length of the hypotenuse? 7-2 F Problem-Solving Practice Special Right Triangles 117_132_HPC3C7_892764.indd 132 17_132_HPC3C7_892764.indd 132 2/2/10 10:07:04 PM /2/10 10:07:04 PM
NAME ________________________________________ DATE _____________ PERIOD _____ 1st pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 8 133 Course 2 8-1 A Find the mean, median and mode of each data set. Round to the nearest tenth if necessary. 1. prices, in dollars, of day packs 2. points on quizzes 37, 43, 41, 36, 43 13, 6, 9, 8, 14, 5, 10, 7 3. 0 5 10 15 4. 0 0.5 1.0 For Exercises 5 and 6, select the appropriate measure of central tendency to describe the data in each table. Justify your reasoning. 5. Known Mountains on Mars Mountain Height (km) Alba Patera 3 Arsia Mons 9 Ascraeus Mons 11 Olympus Mons 27 Pavonis Mons 7 6. Average Lengths of Wildcats Cat Length Cat Length Cheetah 50.5 in. Lion 102 in. Eurasian Wildcat 24.3 in. Puma 60 in. Jaguar 57.5 in. Serval 33.5 in. Leopard 57 in. Tiger 128 in. 7. MARS Refer to the table of mountains on Mars in Exercise 5. Describe how the mean, median and mode are each affected if the data for Olympus Mons is not included. Get Connected Get Connected For more examples, go to glencoe.com. Homework Practice Measures of Central Tendency 133_150_HPC3C8_892764.indd 133 33_150_HPC3C8_892764.indd 133 2/2/10 10:07:24 PM /2/10 10:07:24 PM
NAME ________________________________________ DATE _____________ PERIOD _____ 1st pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 8 134 Course 2 8-1 A ANIMALS For Exercises 1–4, use the FOOTBALL For Exercises 5 and 6, information in the table below that use the information in the table shows the lifespan of selected mammals. below. Round to the nearest tenth Round to the nearest tenth if necessary. if necessary. Average Lifespan for Mammals Mammal Average Lifespan (years) Baboon 20 Camel 12 Chimpanzee 20 Cow 15 Goat 8 Gorilla 20 Moose 12 Pig 10 2007 NFL Season Team Games Won Atlanta 4 Carolina 7 Denver 7 Kansas City 4 New Orleans 7 Oakland 4 St. Louis 3 San Diego 11 San Francisco 5 Seattle 10 1. Explain how to find the mean of the lifespans listed in the table. Then find the mean. 2. Explain how to find the median of the set of data. Then find the median. 3. Explain how to find the mode of the set of data. Then find the mode. 4. Which measure of central tendency is most representative of the data? Explain. 5. What are the mean, median and mode of the number of games won by the teams in the table? 6. Which measure of central tendency is most representative of the data? Explain. Problem-Solving Practice Measures of Central Tendency 133_150_HPC3C8_892764.indd 134 33_150_HPC3C8_892764.indd 134 2/2/10 10:07:38 PM /2/10 10:07:38 PM
NAME ________________________________________ DATE _____________ PERIOD _____ 1st pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 8 135 Course 2 8-1 Ballet Tickets Sold Stem Leaf 4 2 5 58 7 55 4|2 = 42 tickets 1. CLASSIC CARS Four years ago, Terrence hosted his first classic car show. The table shows the number of car enthusiasts who participated in the show in successive years. Which measure of central tendency will change the most if 65 car enthusiasts participate the fifth year? 2. BALLET Joy’s dance group is presenting a community ballet on two successive weekends. The stem-and-leaf plot shows the number of tickets sold for the first 5 of 6 performances. Describe how the mean, median, and mode will change if 25 people attend the sixth performance. 3. MAGAZINES Zina sells magazines door-to-door. On Monday she sold 14 subscriptions, on Tuesday she sold 28, on Wednesday she sold 16, and on Thursday she sold 12. Which measure of central tendency will change if she sells 15 subscriptions on Friday? Describe how the mean is affected if the indicated value is removed from the data set. 4. lawns mowed: 15, 20, 35, 20, 14, 10, 5 5. free throws made: 7, 5, 2, 6, 5 6. votes counted: 100, 88, 62, 150, 120, 80 7. pies sold: 13, 2, 17, 13, 15 8. pages read: 36, 43, 54, 19, 37, 15 9. cost in dollars of jeans: 46, 40, 55, 21, 29, 19 10. study time in hours: 4, 3 1 − 2 , 4, 2, 2 3 − 4 , 3 1 − 2 , 3 Year Number of Participants 1st 14 2nd 25 3rd 35 4th 36 Get Connected Get Connected For more examples, go to glencoe.com. C Homework Practice Changes in Data 133_150_HPC3C8_892764.indd 135 33_150_HPC3C8_892764.indd 135 2/2/10 10:07:43 PM /2/10 10:07:43 PM
NAME ________________________________________ DATE _____________ PERIOD _____ 1st pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 8 136 Course 2 8-1 Week Tomatoes Picked 1 15 2 24 3 36 4 60 5 25 Test Scores 62 64 73 81 86 88 92 94 Use the table for Exercises 1 and 2. GARDENING Tamara has a large garden in her backyard. The table shows the number of tomatoes she picked during a five-week period. 1. Describe how the mean of the data set will change if the least number of tomatoes picked in a week is removed from the data set. 2. Describe how the mean of the data set will change if the greatest number of tomatoes picked in a week is removed from the data set. 3. SALES Mussan is trying to build his client base for his company by making calls in the community. On Monday he called 15 people, on Tuesday 18, on Wednesday 5, on Thursday 12, and on Friday 10. Describe how the mean, median, and mode will change if he makes 18 calls on Saturday. 4. COMMISSION Toby works on commission. During the past few weeks his earnings were $200, $150, $75, $1,000, and $170. Describe how the mean of the data set will change if his $1,000 commission was reduced to $200. Use the following information for Exercises 5 and 6. ALGEBRA India’s algebra test scores are shown in the table. 5. MEAN Describe how her mean test score will change if her two highest test scores are removed. 6. MEDIAN Describe how her median test score will change if her highest and lowest test scores are removed. C Problem-Solving Practice Changes in Data 133_150_HPC3C8_892764.indd 136 33_150_HPC3C8_892764.indd 136 2/2/10 10:07:46 PM /2/10 10:07:46 PM
NAME ________________________________________ DATE _____________ PERIOD _____ 1st pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 8 137 Course 2 A 1. WILDCATS Use the data in the table. a. Determine the range of the data. b. Find the median and the upper and lower quartiles. c. What is the interquartile range of the data? d. Identify any outliers. e. Use the measures of variation to describe the data in the table. 2. WEATHER Use the data in the table. a. Determine the range of the data. b. Find the median and the upper and lower quartiles. c. What is the interquartile range of the data? d. Identify any outliers. e. Use the measures of variation to describe the data in the table. Get Connected Get Connected For more examples, go to glencoe.com. Average Birth Weights of Wildcats Cat Weight (oz) Cat Weight (oz) Cheetah 7.5 Lion 48 Eurasian Wildcat 1.4 Puma 12 Jaguar 28 Serval 8.5 Leopard 17.5 Tiger 40 Death Valley Average Monthly Precipitations 0.19 0.13 0.35 0.12 0.12 0.05 0.42 0.18 0.11 0.42 0.14 0.10 8-2 Homework Practice Measures of Variation 133_150_HPC3C8_892764.indd 137 33_150_HPC3C8_892764.indd 137 2/4/10 7:05:14 PM /4/10 7:05:14 PM
NAME ________________________________________ DATE _____________ PERIOD _____ 1st pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 8 138 Course 2 A FOOTBALL For Exercises 1–4, use the table below that shows the points scored by the winning team in the Super Bowl from 1995 through 2008. Winning Super Bowl Scores, 1995–2008 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 49 27 35 31 34 23 34 20 48 32 24 21 29 17 1. Explain how to find the range of the data. Then find the range. 2. Find the median, the upper and lower quartiles, and the interquartile range of the winning scores. 3. Describe how to find the limits for outliers. Then find the limits. 4. Are there any outliers among the winning Super Bowl scores? If so, what are they? Explain your reasoning. GRADES For Exercises 5 and 6, use the table at the right showing the scores on the midterm exam in English. 5. Find the range, median, upper and lower quartiles, and the interquartile range of the exam scores. 6. Are there any outliers in this data? Explain your reasoning. 84 86 77 97 88 89 94 89 81 90 80 75 91 83 85 8-2 Problem-Solving Practice Measures of Variation 133_150_HPC3C8_892764.indd 138 33_150_HPC3C8_892764.indd 138 2/2/10 10:07:53 PM /2/10 10:07:53 PM
NAME ________________________________________ DATE _____________ PERIOD _____ 1st pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 8 139 Course 2 Construct a box-and-whisker plot for each data set. 1. ages of children: 2. prices in dollars: 150, 134, 132, 120, 10, 12, 9, 7, 10, 12, 14, 14, 10, 16 145, 170, 125, 130, 145, 185, 140 7 8 9 10 11 12 13 14 15 16 120 130 140 150 160 170 180 190 CHICKEN For Exercises 3–7, use the box-and-whisker plot below. "WFSBHF$IJDLFO1SJDFT DFOUTQFSQPVOE 3FDFJWFECZ'BSNFST 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 3. How many outliers are in the data? 4. What is the range in chicken prices? 5. Which quartile(s) show the greatest spread of data? 6. What percent of the data indicates that farmers received more than $0.34 per pound for their chickens? 7. What percent of the data indicates that farmers received less than $0.35 per pound for their chickens? Get Connected Get Connected For more examples, go to glencoe.com. 8-2 B Homework Practice Box-and-Whisker Plots 133_150_HPC3C8_892764.indd 139 33_150_HPC3C8_892764.indd 139 2/2/10 10:07:56 PM /2/10 10:07:56 PM
NAME ________________________________________ DATE _____________ PERIOD _____ 1st pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 8 140 Course 2 U.S. SENATE For Exercises 1–4, use the box-and-whisker plot at the right. 1. Explain how to determine from the box-and-whisker plot whether there are any outliers in the data. Then identify any outliers. 2. Describe the distribution of the data. What can you say about the ages of U.S. senators? 3. What percent of U.S. senators are at least 54 years old? Explain how you found your answer. 4. Can you determine from the box-and-whisker plot whether there are any U.S. Senators exactly 65 years old? Explain. HOCKEY For Exercises 5 and 6, use the box-and-whisker plot at the right. 5. Identify any outliers in the data. 6. Describe the distribution of the data. What can you say about the number of goals made by the top 10 all-time leading scorers? 40 50 60 70 80 90 "HFTPG644FOBUPST 300 500 600 700 800 900 400 (PBMT.BEFCZUIF5PQ "MM5JNF-FBEJOH4DPSFST 8-2 B Problem-Solving Practice Box-and-Whisker Plots 133_150_HPC3C8_892764.indd 140 33_150_HPC3C8_892764.indd 140 2/2/10 10:08:01 PM /2/10 10:08:01 PM
NAME ________________________________________ DATE _____________ PERIOD _____ 1st pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 8 141 Course 2 1. THEME PARKS The stem-and-leaf plot shows the number of people who visited two different theme parks last week. a. Construct a double box-and-whisker plot for the data. b. Compare the number of visitors to theme park A to the number of visitors to theme park B. 2. DANCE MARATHON The dance clubs at Whitfield Middle School and Jacob Middle School held a dance marathon to raise money for a local charity. How much money each club raised is based on the number of hours each couple danced. Refer to the double box-and-whisker plot that shows the number of hours couples danced. 1 )PVST%BODJOH 2 3 4 5 6 7 8 11 9 10 Whitfield Middle School Jacob Middle School 5 6 8 10 11 2 4 6 8 10 a. What percent of the couples from Whitfield Middle School danced more than 4 hours? b. Compare the number of hours danced by couples at both middle schools. Theme Park A Stem Theme Park B 5 8 5 6 246 1 3 7 57 46 9 8 1 8 9 5|6 = 65 visitors 5|8 = 58 visitors Get Connected Get Connected For more examples, go to glencoe.com. 8-2 C Homework Practice Double Box-and-Whisker Plots 133_150_HPC3C8_892764.indd 141 33_150_HPC3C8_892764.indd 141 2/2/10 10:08:05 PM /2/10 10:08:05 PM
NAME ________________________________________ DATE _____________ PERIOD _____ 1st pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 8 142 Course 2 Use the following information and box-and-whisker plot to answer Exercises 1 and 2. PRACTICE Taylor and Janice both play the flute. The box-and-whisker plot is a comparison of the number of minutes they practiced each day last week. 20 .JOVUFT1SBDUJDJOHQFS%BZ 25 30 35 40 45 50 55 60 Taylor Janice 30 47 38 45 50 26 30 35 43 55 1. Who has the greater range in practice time, Taylor or Janice? What is this range? 2. In general, who spent more time during the week practicing? Justify your answer. RELIEF PITCHER Jeremiah is a relief pitcher on a pony league team. Yesterday his team played a double header and he pitched the ninth inning in both games. The table shows the speed, in miles per hour, of each pitch he threw. Use the data to answer Exercises 3 and 4. Pitching Speeds (mph) Game 1 Game 2 67, 70, 68, 79, 75 70, 62, 68, 75, 64 65, 75, 70, 71, 79 71, 74, 69, 62, 65 3. Construct a double box-and-whisker plot for the data. 4. In which game was his overall pitching speeds faster? Justify your answer. 8-2 C Problem-Solving Practice Double Box-and-Whisker Plots 133_150_HPC3C8_892764.indd 142 33_150_HPC3C8_892764.indd 142 2/2/10 10:08:11 PM /2/10 10:08:11 PM
NAME ________________________________________ DATE _____________ PERIOD _____ 1st pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 8 143 Course 2 A For Exercises 1 and 2, solve by using a graph. 1. RESTAURANTS Diners were asked which aspect of a dining experience was the most important: the quality of the food, the friendliness of the server, or the cost of the meal. The graph shows the results of the survey. How many diners were surveyed? Quality of Food Friendliness of Server Cost of Meal 30 40 20 0 10 50 Number of Diners 60 70 80 Aspect Most Important Aspect of Dining Experience 2. COMMUTING Ms. Bonilla recorded the amount of time it took her to drive to work each morning. Make a graph of the data in the table. Does the earliest time have the least travel time? Day Departure Time (A.M.) Travel Time (min) 1st Week Mon. 7:21 17 1st Week Tues. 7:38 26 1st Week Wed. 7:32 22 1st Week Thurs. 7:20 15 1st Week Fri. 7:35 22 2nd Week Mon. 7:26 20 2nd Week Tues. 7:25 18 2nd Week Wed. 7:38 24 2nd Week Thur. 7:34 21 2nd Week Fri. 7:23 17 Use any strategy to solve Exercises 3–5. Some strategies are shown below. PROBLEM-SOLVING STRATEGIES • Use a graph. • Look for a pattern. • Use logical reasoning. • Choose an operation. 3. FLORIST Ms. Parker charges $29.95 for a bouquet of one dozen roses. Last year, she paid her supplier $4.50 per dozen roses. This year, she paid $3.25 more per dozen. How much less profit did she make this year on 20 dozen bouquets? 4. TOUR BUS One bar in the graph shows the cost of operating a tour bus. The other bar shows the amount of money received from the passengers. How many passengers must ride the tour bus to make a profit? 10 20 30 40 50 300 200 100 400 500 600 700 Money (dollars) Number of Passengers 0 Cost of Operations Amount Received 5. TOWN MEETING The Waynesville auditorium seats 375 people. In a survey of 50 residents, 6 stated that they plan to attend the next town hall meeting. If the town has 4,200 residents, how many would you expect to attend? Is the auditorium large enough? Get Connected Get Connected For more examples, go to glencoe.com. Mixed Problem Solving 8-3 Homework Practice Problem-Solving Investigation: Use a Graph 133_150_HPC3C8_892764.indd 143 33_150_HPC3C8_892764.indd 143 2/2/10 10:08:15 PM /2/10 10:08:15 PM
NAME ________________________________________ DATE _____________ PERIOD _____ 1st pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 8 144 Course 2 A For Exercises 1–6, solve by using a graph. 1. SURVEY A group of students was asked to name their favorite subject in school. The circle graph shows the results of the survey. If 45 students chose math as their favorite subject, how many students were surveyed? 2. SALES The graph shows the monthly sales of George’s Comic Book Shop. Between which two months did sales decrease the most? 3. EXERCISING Chuck runs the mile race at every track meet. The graph shows his times, in minutes, for each meet. Did Chuck’s time improve each time that he ran the mile race? 4. JOBS Vidya and four friends mow lawns during summer vacation to earn money. The graph shows how much each earned during each week of vacation. Is there any relationship between the amount that the friends earn each week and the number of the week? 5. ART EXHIBIT The graph shows the number of weekly visitors at an art exhibit. How many more people visited the art exhibit during the week with the most visitors than the week with the least visitors? 6. SURVEY A group of students was asked to name their favorite color out of four colors. The circle graph shows the results of the survey. If 150 students chose blue as their favorite color, how many students chose green? .BUI .VTJD "SU 4PDJBM 4UVEJFT 4DJFODF &OHMJTI 1 2 3 45 8:20 8:30 8:10 0 8:00 8:40 Time (min) 8:50 9:00 Meets 30 20 10 40 50 60 Money Earned ($) 70 80 90 100 Week 0 1 2 3 4 5 6 7 8 9 10 y x Sales ($1,000) 2 1 0 3 4 5 6 7 8 Jan FebMar Apr May June Month y x Visitors 450 400 0 500 550 600 650 123456 Week :FMMPX (SFFO #MVF 3FE 8-3 Problem-Solving Practice Problem-Solving Investigation: Use a Graph 133_150_HPC3C8_892764.indd 144 33_150_HPC3C8_892764.indd 144 2/2/10 10:08:21 PM /2/10 10:08:21 PM