Basic Mathematics for College Students

47. a. 2 b. 3 c. 1 d. 6 49.50° 51.25° 53.75°
    55.130° 57.right 59.acute 61.straight 63.obtuse
    65.10° 67.27.5° 69.70° 71.65° 73.30°, 60°, 120°
    75.25°, 115°, 65° 77.60° 79.75° 81. a.true
    b.false, a segment has two endpoints c.false, a line does
    not have an endpoint d.false, point Gis the vertex of the
    angle e.true f.true 83.40° 85.135° 87. a.50°
    b.130° c.230° d.260° 89. a.66° b.156° 91.141°
    93.1° 95. a.about 80° b.about 30° c.about 65°


48. a.27° b.30° 103. 105.

1.coplanar, noncoplanar 3.Perpendicular 5.alternate

7. a. b.


8. a. b.

11.corresponding 13.interior 15.They are perpendicular.
17.right 19.perpendicular. 21. a.1 and 5,4 and
8,2 and 6,3 and  7 b.3,4,5, and  6
c.3 and 5,4 and  6 23.m(1) 130°, m(2) 50°,
m(3) 50°, m(5) 130°, m(6) 50°, m(7) 50°,
m(8) 130° 25. 1 X, 2 N 27.12°, 40°, 40°
29.10°, 50°, 130° 31. a.50°, 135°, 45°, 85° b. 180° c.180°
33.vertical angles: 1 2; alternate interior angles:
BD,EA 35.40°, 40°, 140° 37.12°, 70°, 70°
39.The plummet string should hang perpendicular to the
top of the stones. 41.50° 43.The strips of wallpaper
should be hung on the wall parallel to each other, and they
should be perpendicular to the floor. 45.75°, 105°, 75°

53. 72 55.45% 57.yes 59.

1.polygon 3.vertex 5.equilateral, isosceles, scalene
7.hypotenuse, legs 9.addition

11. a. b. c. d.

e. f. 13. a. b.

c. d. e. f.

Study Set Section 9.3 (page 741)

1

3

l 2

l 1

l 3

l 2

l 3

l 1

l 1

l 1 l 2

l 2

Study Set Section 9.2 (page 731)

1

10

23

12

or 1

11

12

15. a.90° b.right c. d. e. f.


16. a.isosceles b.converse 19. a. 
    b.isosceles 21.triangle 23. 


17. a.4, quadrilateral, 4 b.6, hexagon, 6


18. a.7, heptagon, 7 b.9, nonagon, 9


19. a.scalene b.isosceles 31. a.equilateral b.scalene
    33.yes 35.no 37.55° 39.45° 41.50°; 50°, 60°, 70°
    43.20°; 20°, 80°, 80° 45.68° 47.9° 49.39° 51.44.75°
    53.28° 55.73° 57.90° 59.45° 61.90.7° 63.61.5°
    65.12° 67.52.5° 69.39°, 39°, 102° or 70.5°, 70.5°, 39°
    71.73° 73.75° 75. a.octagon b.triangle c.pentagon
    77.As the jack is raised, the two sides of the jack remain the
    same length. 79.equilateral 85. 22 87.40% 89.0.10625

1.hypotenuse, legs 3.Pythagorean 5.a^2 ,b^2 ,c^2

7.right 9. a. b. c. 11.64, 100, 100

13.10 ft 15.13 m 17.73 mi 19.137 cm

21.24 cm 23.80 m 25.20 m 27.19 m

29. cm 3.32 cm 31. m 14.42 m


30. in.9.49 in. 35. in.4.47 in. 37.no
    39.yes 41.12 ft 43.25 in. 45. ft 127.28 ft
    47.yes, ft 35.89 ft 53.no 55.no 57.no 59.no

1.Congruent 3.congruent 5.similar 7. a.No, they are

different sizes. b.Yes, they have the same shape.

9.PRQ 11.MNO 13.AB,YT,

ZR,  

15.congruent 17.angle, angle 19. 100 21.5.4

23.proportional 25.congruent 27.is congruent to

29.

31. D,B,C 33. a.BM,
    CN,DO, 
    b.72° c.10 ft d.9 ft 35.yes, SSS 37.not necessarily


32. a.LH,MJ,RE b.MR,LR,LM
    c.HJ,JE,LR 41.yes 43.not necessarily 45.yes
    47.not necessarily 49.yes 51.not necessarily 53.8, 35
    55.60, 38 57.true 59.false: the angles must be between
    congruent sides 61.yes, SSS 63.yes, SAS 65.yes, ASA
    67.not necessarily 69.80°, 2 yd 71.19°, 14 m 73.6 mm
    75.50° 77. 79. 16 81.17.5 cm 83.59.2 ft
    85.36 ft 87.34.8 ft 89.1,056 ft 93. 189 95. 21

1.quadrilateral 3.rectangle 5.rhombus 7.trapezoid,

bases, isosceles 9. a.four;A, B, C, D b.four;

c.two; d.yes, no, no, yes

11. a. b. 13. a.right b.parallel c.length
    d.length e.midpoint 15.rectangle 17. a.no b.yes
    c.no d.yes e.no f.yes 19. a.isosceles
    b.J,M c.K,L d.M,L,ML

VU 

AB, BC, CD, DA AC, BD

Study Set Section 9.6 (page 773)

25

6

    4

1

6

BC MN, CD NO, BD MO

DF, AB, EF,

K M

R

H E

J

YZ TR,AZ BR,AY BT

Study Set Section 9.5 (page 761)

2 1,288

2 16,200

290 220

211 2208

BC AB AC

Study Set Section 9.4 (page 751)

AB CB

EF GF

AB, BC AC AC AC

Appendix V Answers to Selected Exercises A-51