Cumulative Exam — Cumulative exam Answers

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In the parallelogram shown, AE = p − 8, CE = 2p − 58, and DE = p + 15.

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A
42 units
B
50 units
C
65 units
D
73 units
42
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Helen has 48 cubic inches of clay to make a solid square right pyramid with a base edge measuring 6 inches.

Question illustration
A
3 inches
B
4 inches
C
5 inches
D
6 inches
43

On a coordinate plane, kite W X Y Z has points (1, 1), (3, 4), (5, 1), (3, negative 3).

Question illustration
A
7 square units
B
8 square units
C
14 square units
D
16 square units
44

Parallelogram L M N O is shown. Angle N is (5 x) degrees and angle L is (3 x + 40) degrees.

Question illustration
A
20°
B
60°
C
80°
D
100°
45

AC and DB are chords that intersect at point H.

Question illustration
A
4 units
B
8 units
C
16 units
D
20 units
46

A solid piece of wood shaped as a cylinder with an 8-centimeter diameter is cut as shown.

Question illustration
A
96 + 64π cm2
B
96 + 80π cm2
C
96 + 112π cm2
D
96 + 128π cm2
47

The base of a solid right pyramid is a square with an edge length of n units. The height of the pyramid is n − 1 units.

Question illustration
A
n(n − 1) units3
Option A
B
n(n − 1)2 units3
Option B
C
n2(n − 1) units3
Option C
D
n3(n − 1) units3
Option D
48

Point F is on circle C.

Question illustration
A
12.5 units
B
15.0 units
C
17.5 units
D
20.0 units
49

Quadrilateral W X Y Z is shown. The length of W X is (x + 8) millimeters, the length of X Y is (2 x minus 5) millimeters, the length of Z Y is 15 millimeters, and the length of W Z is (x + 2) millimeters.

Question illustration
A
WXYZ can be a parallelogram with one pair of sides measuring 15 mm and the other pair measuring 9 mm.
B
WXYZ can be a parallelogram with one pair of sides measuring 15 mm and the other pair measuring 7 mm.
C
WXYZ cannot be a parallelogram because there are three different values for x when each expression is set equal to 15.
D
WXYZ cannot be a parallelogram because the value of x that makes one pair of sides congruent does not make the other pair of sides congruent.
50

Points H and F lie on circle C.

Question illustration
A
3 units
B
4 units
C
5 units
D
6 units

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