Basic Mathematics for College Students

22.m(1) 60°, m(2) 120°, m(3) 130°, m(4) 50°

23. a.40° b.50°, 50° 24. a.20° b.110°, 70° 25. a.11°
    b.31°, 31° 26. a.23° b.82°, 82° 27. a.8, octagon, 8
    b.5, pentagon, 5 c.3, triangle, 3 d.6, hexagon, 6
    e.4, quadrilateral, 4 f.10, decagon, 10 28. a.isosceles,
    b.scalene c.equilateral d.isosceles 29. a.acute
    b.right c.obtuse d.acute 30. a.90° b.right
    c. d. e. f. 31.90° 32.50°
    33.71° 34.18°; 36°, 28°, 116° 35.50° 36.56° 37.67°
    38.83° 39.13 cm 40.17 ft 41.36 in. 42.20 ft


24. m 15.20 m 44. in.36.06 in.
    45.73 in. 46. in.32 in. 47.not a right triangle
    48.not a right triangle 49. a.D b.E c.F
    d. e. f. 50. a.32° b.61° c.6 in.
    d.9 in. 51.congruent, SSS 52.congruent, SAS
    53.not necessarily congruent 54.congruent, ASA
    55.yes 56.yes 57.4, 28 58.65 ft 59. a.trapezoid
    b.square c.parallelogram d.rectangle e.rhombus
    f.rectangle 60. a.15 cm b.40° c.100° d.7.5 cm
    e.14 cm 61. a.true b.true c.true d.false


25. a.65° b.115° c.4 yd 63.1,080° 64.20 sides
    65.72 in. 66.86 in. 67.30 m 68.36 m 69.59 ft


26. a.9 ft^2 b.144 in.^2 71.9.61 cm^2 72.7,500 ft^2
    73.450 ft^2 74.200 in.^2 75.120 cm^2 76.232 ft^2
    77.152 ft^2 78.120 m^2 79.8 ft 80.18 mm 81.$3,281
    82.$4,608 83. a. b. c.
    d.O 84. 21 ft 65.97 ft 85.45.1 cm


27. 81 in.^2 254.47 in.^2 87.130.3 cm^2 88.6,073.0 in.^2
    89.125 cm^3 90.480 m^3 91.1,728 mm^3


28. in.^3 523.60 in.^3 93. 250 in.^3 785.40 in.^3

94.2,000 yd^3 95.2,940 m^3 96. in.^3 1,072.33 in.^3

97.1,518 ft^3 98.3.125in.^3 9.8 in.^3 99.1,728 in.^3
100.54 ft^3

1. a.135°, obtuse b.90°, right c.40°, acute
   d.180°, straight 2. a.measure b.length c.line
   d.complementary 3.D 4. a.false b.true c.true
   d.true e.false 5.20°; 60°, 60° 6.133°


2. a.transversal b. 6 c. 7 8.m(1) 155°,
   m(3) 155°, m(4) 25°, m(5) 25°, m(6) 155°,
   m(7) 25°, m(8) 155° 9.50°; 110°, 70°


3. a.8, octagon, 8 b.5, pentagon, 5 c.6, hexagon, 6
   d.4, quadrilateral, 4 11. a.isosceles b.scalene
   c.equilateral d.isosceles 12.70° 13.84° 14. a. 12
   b. 13 c.90° d. 5 15. a. 10 b.65° c.115° d.115°
   16.1,440° 17.118 in. 18.15.2 m 19.360 cm^2
   20.$864 21.144 in.^2 22.120 in.^2 23. a.
   b. c. 24. 25. 21 ft 66.0 ft
   26.(40  12 ) ft 77.7 ft 27. 225 m^2 706.9 m^2
   28.R,S,T; 29. a.congruent, SSS
   b.congruent, ASA c.not necessarily congruent
   d.congruent, SAS 30. a.8 in. b.50° 31. a.yes
   b.yes 32. a.6 m b.12 m 33.21 ft 34. a.26 cm
   b. in.5.3 in. 35. in.31.4 in. 36.1,728 in.^3
   37.216 m^3 38.5,400 ft^3 39.1,296in.^3 4,071.50 in.^3

228 2986

RT, RS, ST

XY OX, OR, OS, OY

RS, XY

Chapter 9 Test (page 834)

1,024

3

500

3

CD, AB AB OA, OC, OD, OB

DF DE EF

2 1,023

2231 2 1,300

XY, XZ YZ YZ YZ

40.600 in.^3 41.1,890 ft^3 42. 63 yd^3 197.92 yd^3 43.400 mi^3

44. in.^3 268.08 in.^3 45.11,250ft^3 35,343 ft^3

1.$8,995 2.2,110,000 3.32,034 4.11,022

5. a.602 ft b.19,788 ft^2 6.33 R 10 7.48 gal


6. a. b.1, 2, 3, 4, 6, 12 9. a. 48 b. 8


7. 11 11. a.{...,3,2,1,0,1,2,3,...} b. 3


8. a. 12 b. 20 c. 64 d. 4 e. 16 f. 16
   13.$140 14. 2 15. a. b. c. d.

16.9 oz 17. 18. 19. 20. 21.

22. 
    
    
    
    23. fluid oz 24. cups 25.
    
    
    
    


23. a.3.1416 b.
    c.six million, five hundred ten thousand, three hundred
    forty-five and seven hundred ninety-eight thousandths
    d.
    27.145.188 28.3,803.61 29.25.6 30.17.05
    31.0.053 32.22.3125 33.$2,712.50 34. a.899,708
    b.0.899708 35.18,000  9 2,000 36.9.32


24. 
    
    
    
    38. a. 2 b.
    
    
    
    


25. 
    


26. a. b. 41.the smaller board 42.

43.125,000 44.75 ft 45. a.14 ft b.13.25 lb 13 lb

c.120 quarts d.750 min 46. a.1,538 g b.0.5 L

c.0.000003 km 47.240 km 48. a.about 4 m/gal

b.11,370,000 L 49.about 4.5 kg 50.167°F

51.0.57, , 0.1%. , , 52. a.93% b.7%

53.67.5 54. 120 55.85% 56.$205, $615

57.$1,159.38 58.500% 59.$21 60.$1,567.50

61. a.380,000 vehicles b.295,000 vehicles
    c.90,000 vehicles 62. a.18% b.2,920,000


62. a.food: about $17.5 billion b.about $2.2 billion
    c.about $8.5 billion 64.mean: 0.86 oz, median: 0.855 oz,
    mode: 0.85oz 65. 5 66. a. 2 x 16 b. 75 s 6


63. a. 48 a b. 42 b 68. a. 27 t 90 b. 32 x 40 y 8


64. a. 3 x b. 6 c^2 c. 8 m 6 n d. 12 x 8
    70.It is not a solution. 71. 24 72. 5 73. 89 74. 11
    75.She must make 7 more 6-hour classroom visits.


65. a.base: 4, exponent: 8 b.base:s, exponent: 4


66. a.s^10 b.a^35 c.r^5 t^9 d. 8 b^9 c^18 e.y^22 f. (5.5)^36


67. a.acute b.right c.obtuse d.180° 79. a.75°
    b.15° 80. a.50° b.50° c.130° d.50° 81. a.75°
    b.30° c.105° d.105° 82.46°, 134° 83.73°
    84.26 m 85.yes 86.42 ft 87.540° 88.48 m, 144 m^2
    89.126 ft^2 90.91 in.^2 91.144 in.^2 92.circumference:
    14 cm 43.98 cm, area: 49cm^2 153.94 cm^2

33 0.3

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100

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8
− 5

− 9 −0.1

− 4 − 3 − 2 −101 23 4 5

–4^2 – 3 3 – 2 2.89 17

7

9

0.13

7,000 400  90  8 

6

10



4

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6

1,000



1

10,000

8

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22  5  11

Chapters 1–9 Cumulative Review (page 838)

256

3

Appendix V Answers to Selected Exercises A-53