Unit C Homework Helper Answer Key

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1 Lesson 3-1 Measuring Angles acute 4. IV 5. x x ; acute; NAK 8. x 15; answers will vary. 9. x a. x x a. 65 b. Read the inner scale of the protractor. 14. a. EAD b A 16. a. 95 b. Read the outer scale of the protractor. Lesson 3-2 Adjacent Angles 1. A, C 2. D a. C b a. D b a a a. C, F, H 10. x 18 TOU 54 UOW a b Lesson 3-3 Complementary Angles 1. A 2. a. C b. B, a. D b a C, D a. 4 b. 25 c. 65 Lesson 3-4 Supplementary Angles 1. C, D B is 45 A is a a. 116 b. A a. 50 b. 150 and 30 digits Texas 7 Grade 7

2 9. a. C b a. C b. 21 c. 84 Lesson 3-5 Vertical Angles 1. R and Y 2. LJP 3. a. KMT is vertical to VMJ. b a. A, E b a a. C, D a. 135 b. 85 c. 45 d. 85 e. 50 f. 95 Lesson 3-6 Sum of the Angles in a Triangle x x 36; m Q a a a a. D b a. D b a. C b. m A 19.3 ; m B 77.2 ; m C m A 93 ; m B 31 ; m C 56 Lesson 3-7 Additional Problem Solving 1. C, D 2. C 3. a. 35 b. B 4. A, D 5. a. y 20 b. x 160 c. x a. 27 b a. A b. x 20; y a. 60 b. 30 c. 90 d a. B 10. a. w 61 b. x 83 c. y 21 d. z 36 digits Texas 8 Grade 7

3 Lesson 4-1 Center, Radius, and Diameter 1. B 2. D cm 4. a. B b. 4 cm cm 6. a. C c a yd 8. a. A, F 9. a. B, D b cm 11. a. C b a. D b. 6 Lesson 4-2 Circumference of a Circle 1. 7p cm 2. 24p mi ft cm cm 6. 15p cm 7. 3,082.2 ft ft 9. a. 9.4 ft b. The diameter triples; answers will vary. 10. a. 42p m, 56p m 11. a. 44p, 54p b. 10p or a m b. C m ft in. 16. a. D b ft 18. 3,768 flowers in. Lesson 4-3 Area of a Circle ft p ft , yd 2 4. a. C b. 64pm p mm mm in a. Circle Y; cm 2 9. a. 64p cm a. 16p m 2 ; 64p m 2 b yd a in. 2 b in a. 12,544p miles a ft 2 b. 12, in a. C b. $3, a. $ b. 36 ft 2 digits Texas 9 Grade 7

4 Lesson 4-4 Areas of Semicircles and Quarter Circles cm , yd , ft ft cm m 2 7. a in. 2 b. B 8. a. The area of circle 2 is 25 times the area of circle 1. b. 800 cm cm , ft in a. Answers will vary. b. about $2, in a. 2,826 ft 2 b. 2% Lesson 4-5 Areas of Composite Figures 1. 6,962.5 m in m 2 4. a. Answers will vary. 5. a. 6, m 2 6. a. Answers will vary m , ft 2 9. C 10. a. Area of a rectangle, triangle, and circle b cm in , cm 2 Lesson 4-6 Additional Problem Solving 1. 52p m ft 2 4. a in a. 288p units m cm 8. a ft 9. a. 52 in. b. You need to take the legs off and turn it sideways cm a. D b ft a. C b m 13. a. 24 inches b. No 14. $ Lesson 5-1 Nets 1. A 2. B 3. A 4. A 5. a. A b. A 6. a. C b. B 7. a. 1 base and 4 lateral faces b. Square pyramid 8. Pentagonal prism; answers will vary. digits Texas 10 Grade 7

5 Lesson 5-2 Surface Areas of Right Prisms in in.2 3. a. B b in a. B b cm 2 7. a. 2,111.2 cm 2 b. The area of the net is equal to the area of the stone. 8. a. A b c. It has only one triangle, like the vase Lesson 5-3 Volumes of Right Prisms cm m ft cm ,793 cm ,193 cubic feet 6,859 cubic yards 7. 3,572 m ft ,844 ft a. A 11. a. D b. 5,351 cubic centimeters 12. a. D b. 3 ft by 4 ft by 3.5 ft 13. Freezer B 14. a. 264 cm 3 Lesson 5-4 Surface Areas of Right Pyramids m 2 2. a. 1,800 cm 2 b. A 3. a. Answers will vary. b. A, B, C, D 4. a. D b. 360 in a. 885 cm 2 b. 37,174.2 cm 2 6. a. B, C, D b. 397 yd m 2 ; answers will vary. 8. a. 177 cm 2 b. No m Lesson 5-5 Volumes of Right Pyramids cm cm cm ,170 cm cm 3 6. a. D 7. 6 m 3 8. a. 3,336.9 mm 3 b. C 9. a cm 3 b. A, B, D 10. A ,642 ft 3 ; 15,246 yd in a. D b. 363 ft 3 digits Texas 11 Grade 7

6 Lesson 5-6 Additional Problem Solving in in a. C b. 1,512 cm 2 4. a. 48 ft 3 b. 64 ft 2 5. a. 1,057 ft 2 b. 1, ft 2 6. a. D b. Container G 7. 9 jars 8. Box R; answers will vary. digits Texas 12 Grade 7

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