Unit Test — Cumulative exam Answers

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The weather report states that the probability it will rain on Wednesday is 30 percent and the probability that it will rain on Saturday is 60 percent.What is the probability that it will rain on Wednesday and on Saturday?

A
2 percent
B
18 percent
C
60 percent
D
90 percent
43

The angle measures of quadrilateral RSTU are shown.m∠R = (2x)°m∠S = (3x – 35)°m∠T = (x + 35)°

A
Yes, opposite angles R and T are congruent to each other if x = 35.
B
Yes, consecutive angles R and S are congruent to each other if x = 35.
C
No, if x = 35, all three given angles measure 70°. The fourth angle would measure 150°.
D
No, if x = 35, the three given angle measures make it impossible for the figure to be a quadrilateral.
45

A librarian has 10 nonfiction and eight fiction books from which to choose the next three book club selections.What is the approximate probability that she chooses a fiction book, then a nonfiction book, then a fiction book?

A
0.114
B
0.131
C
0.686
D
0.784
46

Triangle JKL is equilateral. One side of the triangle, JL, is a diameter of circle M. Which is true about line segments JK and KL?

A
Both segments are tangent to circle M but are not chords.
B
One segment is tangent to circle M and one segment is a chord in circle M.
C
Both segments are chords in circle M but are not tangents.
D
Neither segment is a chord nor tangent to circle M.
47

Angle G is a circumscribed angle of circle E.

Question illustration
A
x° + x°
B
x° + 90°
C
180° – x°
D
180° – 2x°
49

Which circle shows that measures 60°?

Question illustration
A
Circle O is shown. Line segments A and B are shown. The angle between the 2 segments is 60 degrees.
Option A
B
Circle O is shown. Line segment A is a tangent and line segment B is a secant. The angle between lines A and B is 60 degrees.
Option B
C
Circle O is shown. Line segments A O and B O are radii. Angle A O B is 60 degrees.
Option C
D
Circle O is shown. Line segment A Y is a secant. Line Y B is a diameter. Angle A Y B is 60 degrees.
Option D
50

A right prism has a rhombus as a base. The height of the prism is 6 inches and the volume is 144 cubic inches.Which could be the lengths of the diagonals of the rhombus?

A
2 in. by 12 in.
B
4 in. by 11 in.
C
6 in. by 8 in.
D
8 in. by 9 in.
51

A cross section is made by the intersection of a plane and a square pyramid at an angle either parallel or perpendicular to the base.The cross section can be which of these shapes? Select three options.squaretriangletrapezoidcirclenon-square rectangle

A
square
B
triangle
C
trapezoid
D
circle
E
non-square rectangle
53

A prize bag contains four country music CDs, eight pop music CDs, and five classic rock CDs.What is the probability of pulling out a classic rock CD and then, without replacing it, pulling out a country music CD? Express your answer in decimal form, rounded to the nearest hundredth.

A
0.03
B
0.07
C
0.15
D
0.18
54

A polygon with 3 sides is stacked to form a prism.

Question illustration
A
square
B
trapezoid
C
triangle
D
non-square rectangle

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