Selected Answersfor

Core Connections, Course 3

Height (inches)

Test Score (%

)

Age of Car (years)

Avg. M

iles per G

allon

Lesson 9.1.1

9-8. a: m2 = 63ºlines ||, alt. int. s =, m3 = 117, suppl. s.

b: 3x – 18º74º, x = 30.67º, lines ||, corr.s =.

c: 3x – 9º = x + 25º, lines ||, alt. int. s =, x = 17º; m2 = 3(17º) – 9º42º, substitution.

9-9. Answers will vary. m1 = 53º, m2 = 72º, m3 = 55º, m4 = 127º, m6 = 55º

9-10. a: Yes, positive b: Yes c: No

d: The short people may be young and have not yet learned tospell very well.

9-11. , miles

9-12. 3 p.m.

9-13. a: Yes b: No c: No d: Yes e: No f: Yes

Lesson 9.1.2

9-21. a: 55 , right b: 60 , acute

9-22. a: m4 = m5 (alt. int. s =) or m4 = m8 (corr. s =), then st. , m6 = 119 m4 + m6  = 180 degrees (same side interior s suppl.).

b: corr. and vert. s or vert. s, alt. int. s, vert. s, m 8 = 48

c: corr. s =, suppl., m8 = 43

9-23. See graph at right.

9-24. See graph at right. The data shows a negative association.

9-25. a: 270 sq. ft. b: 30 sq. yds.

9-26. a: b:

1 Core Connections, Course 3

Lesson 9.1.3

9-33. a: c is parallel to d, alt int. s = b: e is parallel to f, corr. s =

c: None d: c is parallel to d, vert s =, then corr. s =

e:  c is parallel to d, suppl. same side int. s = 

9-34. a: x = 22.5˚, st.

b: d = 49˚, st s, e = 41˚, ∆180˚ or ext.

c: f = 43˚, ext.

9-35. a: b: c: d:

9-36. a: x = 7 b: x = –2 c: x = 2 d: x = 4

9-37. a: $50.40 b: $50.68

9-38. a: See table and graph below.

b: See where the y-value for is on the graph; in table between 10 and 11 weeks.

c: The entries in the table grow by a constant amount ($150 eachweek) and the graph of the values makes a straight line.

Selected Answers 2

Week 0 1 2 43 4 5 6 7 8 9 10 11

Money 200 350 500 650 800 950 1100 1250 1400 1550 1700 1850

Age of Car (years)105

Listed Cost

(in 1000s)

10

20

30

Lesson 9.1.4

9-45. a: b: 7.7 c:

9-46. Sample graphs: a: b:

9-47. Median = 61, first quartile = 48, third quartile = 97

9-48. a: (–2, 3) b: (–2, 3) c: Yes

9-49. a: x = 60°, acute b: x = 24°, obtuse

9-50. a: Box plot b: Scatterplot

c: See graph. d: Strong negative association.

e: See graph. f: $17,000

g: Slope of –3 means the car is losing $3000 in value each year, y-intercept of 35 means the cost when new was $35,000.

3 Core Connections, Course 3

Lesson 9.2.1

9-56. a: Yes, there are two equal angles, the right angle and the 30° angle.

b: 6 cm

c:

d: Small = 27 sq. cm, large = 192 sq. cm

9-57. Yes, an obtuse triangle will be formed because 36 > 16 + 9.

9-58. x: 1; 0 y: –14

a: b: –3

9-59. , . Sides are 22 cm, 54 cm, and 66 cm.

9-60. Cisco is incorrect. She also needs to be sure that the graph makes a straight line or that

the table would have equivalent ratios; the graph of does not make a straight line.

9-61. a:  x = 11.5 b: x = 6 c:

9-62. Obtuse. 6, 20, and 25 units.

9-63. a: Intersect, slopes are different b: Parallel, slopes are equal

c: Parallel, slopes are equal d: Coincide, equations are equivalent

9-64. a: Linear growth, the graph is a line with constant slope.

b: The graph shows the distance from home at different times. Answers will vary.

c: 9 miles

d: The person is traveling 2.5 miles per hour away from home.

e:

9-65. He did not match up corresponding sides.

9-66. Carbon weighs more. An exponent of –22 indicates that the decimals was moved 22 places to the left (versus 27 for hydrogen).

9-67. a: $7263.87 b: No; $8829.27

Selected Answers 4

7020 3.5

23.5

2.60.2 13

13.2

3.40.2 17

17.2

1.50.3 5

5.3

Lesson 9.2.2

9-74. 4 rectangles (1 by 24, 2 by 12, 3 by 8, and 4 by 6). No.

9-75. 8, 15, and 17 because

9-76. . x = 9 rides

9-77. a: b: –2 c: (0, –3)

9-78. a: b: c:

9-79. a: b:

Lesson 9.2.3

9-88. a: 15 cm b: 121 cm c: 20 m d: 12.25 ft.

9-89. a: 6 b: 8.1 c: 9.2 d: 3.6

9-90. a: –2 b: (0, 5)

9-91. a: b: c: d:

9-92. Table b is not a function because there are two different outputs for when .

9-93. He is correct, because and .

9-94. a: 17.5 feet b: 175 sq. ft. c: 2

9-95. ,

9-96. a: , right angle is 90 b: , straight angle is 180

c: , sum of angles in a triangle is 180 d: , same reason as (c)

9-97. SA = 34 square units, V = 10 cubic units

9-98. a: cm2 b:  cm2

5 Core Connections, Course 3

x = 46˚ + 90˚ = 136˚ x = 46˚ + 90˚ = 136˚

9-99. a: b: c:

Selected Answers 6

Lesson 9.2.4

9-110. a: units. I b: units. I c: 5 units. R

9-111. cup

9-112. ,

9-113. a: b:

9-114. a: b: c:

d: 1 e: f:

9-115. a: 0 b: –32 c: 13

9-116. a: rational, b: rational, c: irrational

9-117. a: (–1, –1) b: (36, 16)

9-118. a: (0, 6) b: –3

9-119. See table and graph at right.

9-120. 525 miles

9-121. ; 4700 attended on Thursday, 10,200 on Friday, 9400 on Saturday, and 12,400 on Sunday.

7 Core Connections, Course 3

x y–1012 03 14 1.415 1.736 27 2.248 2.459 2.65

10 2.83

Lesson 9.2.5

9-129. a: Side lengths of 3, 4, and 5, perimeter of 12.

b: Right triangle. The legs are perpendicular because they align with the xy-coordinate grid.

9-130. 40 km

9-131. a: b: c: d:

9-132. a: b: –100 c: 10 d: –4

e: f: g; h:

9-133. a: b: c: or

9-134. a: non-linear b: linear c: non-linear

Lesson 9.2.6

9-139. 25 meters

9-140. mm

9-141. a: x = 4.5 b: x = –6.4 c: x = –2.75

9-142. a: b: c: d:

9-143. a: b: –1

9-144.

Selected Answers 8

Lesson 9.2.7

9-149.

9-150. a: The tree is a little over 8 feet tall.

b: The tree will not hit the fence.

9-151. a: Vertical angles. Congruent.

b: Straight angle pair. Supplementary.

9-152. The lines are parallel, so they do not intersect; therefore, there is no solution. 

9-153. a: 24 b: or approximately 29% c:

9-154. a: or b: or c: or

9 Core Connections, Course 3