A-26 ANSWERS Chapter 8 SECTION 8.1, PAGE 461 1. Parallel 3. Angle 5. Supplementary 7. Right 9. Acute 11. Ray, gAB 13. Ray, hBA 15. Line segment, AB 17. Line, gAB 19. AD 21. gBC 23. BD 25. hIC 27. ΔBCF 29. F{ } 31. CBG or GBC 33. hBC 35. B{ } 37. BF 39. CBG or GBC 41. ABE or EBA 43. Acute 45. Obtuse 47. None of these angles 49. 77° 51. 57 °1 4 53. ° 25.3 55. 151° 57. ° 159.5 59. 136 °2 7 61. (a) 63. (c) 65. (b) 67. = = m m 1 15°, 2 75° 69. 141° and 39° 71. Angles 3, 4, and 7 each measure ° 130 ; angles 1, 2, 5, and 6 each measure ° 50 . 73. Angles 1, 4, and 7 each measure ° 20 ; angles 2, 3, 5, and 6 each measure ° 160 . 75. = = m m 1 33°, 2 57° 77. = = m m 1 64°, 2 26° 79. = = m m 1 134°, 2 46° 81. = = m m 1 29°, 2 151° 83. gEF and gDG 85. Plane ABG and plane JCD 87. Plane ABG ABC BCD B plane plane { } ∩ ∩ = 89. g∩ BC plane = ABG B{ } 91. Always true. If any two lines are parallel to a third line, then they must be parallel to each other. 93. Sometimes true. Vertical angles are only complementary when each is equal to ° 45 . 95. Sometimes true. Alternate interior angles are only complementary when each is equal to ° 45 . 97. a) An infinite number b) An infinite number 99. An infinite number 101. a) – d) Answers will vary. 103. No. Line l and line n may be parallel or skew. 105. a) B A D C E Other answers are possible. b) ° 30 c) ° 60 d) ° 90 SECTION 8.2, PAGE 471 1. Polygon 3. Proportion 5. Congruent 7. a) Pentagon b) Regular 9. a) Heptagon b) Regular 11. a) Heptagon b) Not regular 13. a) Decagon b) Regular 15. a) Isosceles b) Right 17. a) Isosceles b) Acute 19. a) Scalene b) Acute 21. a) Equilateral b) Acute 23. Trapezoid 25. Square 27. Rhombus 29. ° 95 31. ° 58 33. = = = = m m m m 1 90°, 2 50°, 3 130°, 4 50°, = = = = m m m m 5 50°, 6 40°, 7 90°, 8 130°, = = = = m m m m 9 140°, 10 40°, 11 140°, 12 40° 35. ° 540 37. ° 1080 39. ° 1800 41. a) ° 60 b) ° 120 43. a) ° 120 b) ° 60 45. a) 140° b) 40° 47. = = x y 20, 16 49. = = x y 6, 10 51. = = x y 20, 21.25 53. 3 55. 31 3 57. 33 59. 18 61. ° 71 63. 9 65. 10 67. ° 110 69. a) ° 85 b) ° 95 71. a) 80 miles b) 200 miles 73. a) 113.1 mi b) 75.4 mi 75. 70 ft 77. ° 55 79. ° 35 81. a) = = m HMF m TMB m HFM m TBM , , = m MHF m MTB b) 44 ft 82. a) = = m CED m ABC m ACB m DCE , , = m BAC m CDE b) ≈2141.49 ft SECTION 8.3, PAGE 482 1. a) Perimeter b) Area 3. Circle 5. 1.5 in.2 7. 2500 cm2 9. a) 32 ft2 b) 24 ft 11. a) 600 cm2 b) 100 cm 13. a) 288 in.2 b) 74 in. 15. a) 201.06 in.2 b) 50.27 in. 17. a) 132.73 ft2 b) 40.84 ft 19. a) 17 yd b) 40 yd c) 60 yd2 21. a) 12 km b) 30 km c) 30 km2 23. 7.73 ft2 25. 8 in.2 27. 90 yd2 29. 27.43 ft2 31. 56.55 mm2 33. 7 yd2 35. 121.5 ft2 37. 70,000 cm2 39. 0.4072 m2 41. a) $6594.50 b) $8794.50 43. $5266.60 45. $6715.20 47. 21 ft 49. 312.20 ft 37. a) 3.14 m3 b) 3140 kg 38. a) 899.79 cm2 b) 0.089 979 m2 39. a) 180 000 cm3 b) 0.18 m3 c) 180 000 m d) 0.18 k 40. 10,000 times larger 41. 90.39 42. 7.09 43. 33.83 44. 109.36 45. 83.68 46. 28.53 47. 75.71 48. 78.47 49. 14.88 50. 3.79 51. a) 53.94 in. b) 97.44 1b 52. 387.79 km 53. 33.44 m2 54. a) 189.27 k b) 189 270 kg 55. a) 43.50 mi/hr b) 70 000 m/hr 56. a) 252 b) 252 kg 57. $1.59 per pound CHAPTER TEST, PAGE 450 1. 2.4 k 2. 0.004 62 hm 3. 100 times greater 4. 2.4 km 5. (b) 6. (a) 7. (c) 8. (b) 9. (c) 10. 10,000 times greater 11. 1,000,000 times greater 12. 39.6 kg 13. 555.41 ft 14. 20,587.26 mi2 15. 4.44°C 16. 23°F 17. a) 300 000 g b) 661.38 lb 18. a) 3200 m3 b) 3 200 000 (or 3200 k ) c) 3 200 000 kg 19. $245 20. a) 6.09 euros per gallon b) $7.00 per gallon
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