Page 785 - Basic College Mathematics with Early Integers

ANSWERS TO SELECTED EXERCISES A17

Chapter 9 Geometry
Section 9.1
Vocabulary and Readiness Check 1. plane 3. Space 5. ray 7. straight 9. acute 11. Parallel; intersecting 13. degrees 15. vertical
·
Exercise Set 9.1 1. line; line CD or line l or CD 3. line segment; line segment MN or MN 5. angle; ∠GHI or ∠IHG or ∠H 7. ray; ray UW
¡
or UW 9. ∠CPR, ∠RPC 11. ∠TPM, ∠MPT 13. straight 15. right 17. obtuse 19. acute 21. 67° 23. 163° 25. 32° 27. 30°
29. ∠MNP and ∠RNO; ∠PNQ and ∠QNR 31. ∠SPT and ∠TPQ; ∠SPR and ∠RPQ; ∠SPT and ∠SPR; ∠TPQ and ∠QPR 33. 27°
35. 132° 37. m∠x = 30°; m∠y = 150°; m∠z = 30° 39. m∠x = 77°; m∠y = 103°; m∠z = 77° 41. m∠x = 100°; m∠y = 80°; m∠z = 100°
43. m∠x = 134°; m∠y = 46°; m∠z = 134° 45. ∠ABC or ∠CBA 47. ∠DBE or ∠EBD 49. 15° 51. 50° 53. 65° 55. 95°
9 1 7 5 4 1
57. or 1 59. 61. 63. or 1 65. 54.8° 67. false; answers may vary 69. true 71. m∠a = 60°; m∠b = 50°; m∠c = 110°;
8 8 32 6 3 3
m∠d = 70°; m∠e = 120° 73. no; answers may vary 75. 45°; 45°
Section 9.2 Answers to Selected Exercises
Exercise Set 9.2 1. pentagon 3. hexagon 5. quadrilateral 7. pentagon 9. equilateral 11. scalene; right 13. isosceles 15. 25° 17. 13°
19. 40° 21. diameter 23. rectangle 25. parallelogram 27. hypotenuse 29. 14 m 31. 14.5 cm 33. 40.6 cm 35. 84 in. 37. cylinder
39. rectangular solid 41. cone 43. cube 45. rectangular solid 47. sphere 49. pyramid 51. 14.8 in. 53. 13 mi 55. 72,368 mi 57. 108
59. 12.56 61. true 63. true 65. false 67. yes; answers may vary 69. answers may vary

Section 9.3
22 22
Vocabulary and Readiness Check 1. perimeter 3. p 5. (or 3.14); 3.14 aor b
7 7
Exercise Set 9.3 1. 64 ft 3. 120 cm 5. 21 in. 7. 48 ft 9. 42 in. 11. 155 cm 13. 21 ft 15. 624 ft 17. 346 yd 19. 22 ft 21. $55 23. 72 in.
25. 28 in. 27. $36.12 29. 96 m 31. 66 ft 33. 74 cm 35. 17p cm; 53.38 cm 37. 16p mi; 50.24 mi 39. 26p m; 81.64 m 41. 15p ft; 47.1 ft
43. 12,560 ft 45. 30.7 mi 47. 14p cm L 43.96 cm 49. 40 mm 51. 84 ft 53. 23 55. 1 57. 6 59. 10 61. a. width: 30 yd; length: 40 yd
b. 140 yd 63. b 65. a. 62.8 m; 125.6 m b. yes 67. answers may vary 69. 27.4 m 71. 75.4 m 73. 6.5 ft
Section 9.4
3 3
Exercise Set 9.4 1. 7 sq m 3. 9 sq yd 5. 15 sq yd 7. 2.25p sq in. L 7.065 sq in. 9. 17.64 sq ft 11. 28 sq m 13. 22 sq yd 15. 36 sq ft
4 4
1 1
17. 22 sq in. 19. 25 sq cm 21. 86 sq mi 23. 24 sq cm 25. 36p sq in. L 113 sq in. 27. 168 sq ft 29. 113,625 sq ft 31. 4p sq ft L 12.56 sq ft
2 7
8 3
33. 128 sq in.; sq ft 35. 510 sq in. 37. 168 sq ft 39. 9200 sq ft 41. a. 381 sq ft b. 4 squares 43. 14p in. L 43.96 in. 45. 25 ft 47. 12 ft
9 4
1
49. perimeter 51. area 53. area 55. perimeter 57. 12-in. pizza 59. 1 sq ft; 192 sq in. 61. 7.74 sq in. 63. 7056p sq in. L 22,155.84 sq in.
3
65. 298.5 sq m 67. a. width: 40 yd; length: 60 yd b. 2400 sq yd 69. no; answers may vary
Section 9.5
Vocabulary and Readiness Check 1. surface area 3. cubic
4
Exercise Set 9.5 1. V = 72cu in. ; SA = 108sq in. 3. V = 512cu cm ; SA = 384sq cm 5. V = 4pcu yd L 12 cu yd ;
7
500 17 2 2
SA = (2113p + 4p)sq yd L 35.23sq yd 7. V = pcu in. L 523 cu in. ; SA = 100psq in. L 314 sq in. 9. V = 9pcu in. L 28 cu in.
3 21 7 7
10 1372 1
11. 75 cu cm 13. 2 cu in. 15. V = 8.4 cu ft ; SA = 26sq ft 17. 960 cu cm 19. V = p cu in. or 457 p cu in. SA = 196p sq in.
27 3 3
1 5
21. 7 cu ft 23. 5.25p cu in. 25. 4.5 cu m; 14.13 cu m 27. 10 cu in.p 29. 8.8 cu in. 31. 25 33. 9 35. 5 37. 20 39. 2093.33 cu m
2 6
2
41. no; answers may vary 43. 5.5 cu ft; 5.8 cu ft; (b) is larger 45. 6 p cu in. L 21 cu in.
3
Integrated Review 1. 153°; 63° 2. m∠x = 75°; m∠y = 105°; m∠z = 75° 3. m∠x = 128°; m∠y = 52°; m∠z = 128° 4. m∠x = 52°
1
5. 4.6 in. 6. 4 in. 7. 20 m; 25 sq m 8. 12 ft; 6 sq ft 9. 10p cm L 31.4 cm ; 25p sq cm L 78.5 sq cm 10. 32 mi; 44 sq mi 11. 54 cm; 143 sq cm
4
1 1
12. 62 ft; 238 sq ft 13. V = 64cu in. ; SA = 96sq in. 14. V = 30.6cu ft ; SA = 63sq ft 15. 400 cu cm 16. 4 p cu mi L 14 cu mi
2 7
Section 9.6
p m n
Vocabulary and Readiness Check 1. false 3. true 5. false 7. ∠M and ∠Y, ∠N and ∠X, ∠P and ∠Z , = =
z y x
2 3
Exercise Set 9.6 1. congruent; SSS 3. not congruent 5. congruent;ASA 7. Congruent; SAS 9. 11. 13. 4.5 15. 6 17. 5 19. 13.5
1 2
21. 17.5 23. 10 25. 28.125 27. 10 29. 520 ft 31. 500 ft 33. 60 ft 35. 14.4 ft 37. 52 neon tetras 39. 381 ft 41. 4.01 43. 1.23
8
45. 3 in. ;no 47. 8.4 49. answers may vary 51. 200 ft, 300 ft, 425 ft
9