Cumulative Exam — Cumulative exam Answers

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A circle is shown. Secants E G and D G intersect at point G outside of the circle. Secant E G intersects the circle at point F and secant D G intersects the circle at point H. The length of E F is x, the length of F G is 6, the length of D H is x + 3, and the length of H G is 5.

Question illustration
A
4 units
B
7 units
C
12 units
D
23 units
2
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AC and DB are chords that intersect at point H.

Question illustration
A
4 units
B
8 units
C
16 units
D
20 units
3

Which three-dimensional figure has half the number of vertices as the rectangular prism?

A
hexagonal prism
B
rectangular pyramid
C
triangular prism
D
triangular pyramid
4

What is true about △ABC? Select three options

A
AB ⊥ AC
B
The triangle is a right triangle.
C
The triangle is an isosceles triangle.
D
The triangle is an equilateral triangle.
E
BC ∥ AC
5

Triangle BDC is isosceles.

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A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
6

Four speed skaters, Marco, Naim, Oliver, and Pedro, compete in a relay race where they all agree that Naim will be the last skater. Then, they try to decide whether or not Oliver should be the first skater in the race.Which subset, A, of the sample space shows the complement of the event in which Oliver is the first skater in the race?

A
A = {MOPN, PMON}
B
A = {OPMN, OMPN}
C
A = {MOPN, MPON, OPMN, POMN}
D
A = {MOPN, MPON, PMON, POMN}
7

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°
8

On a coordinate plane, rhombus W X Y Z is shown. Point W is at (7, 2), point X is at (5, negative 1), point Y is at (3, 2), and point Z is at (5, 5).

Question illustration
A
units
Option A
B
12 units
C
units
Option C
D
20 units
9

Which of these shapes have rectangular cross sections when they are cut perpendicular to the base? Select three options.

A
rectangular prism
B
triangular prism
C
cylinder
D
cone
E
square pyramid
F
triangular pyramid
10

A four-person committee is chosen from a group of eight boys and six girls.If students are chosen at random, what is the probability that the committee consists of all boys?

A
StartFraction 4 Over 1001 EndFraction
Option A
B
StartFraction 15 Over 1001 EndFraction
Option B
C
Option
Option C
D
Option
Option D
11

A circular disc has an area that measures between 1,650 and 1,700 square inches.What could be the length of its radius? Use 3.14 for .

Question illustration
A
23 in.
B
24 in.
C
25 in.
D
26 in.
12

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.
13

Circle R is shown. Line segments Q R and S R are radii. The length of Q R is 18. Sector Q R S is shaded.

Question illustration
A
36
Option A
B
72
Option B
C
144
Option C
D
324
Option D
14

Which measurements are correct? Select two options.

A
m = 60°
Option A
B
m = 120°
Option B
C
m = 180°
Option C
D
m∠XWZ = 60°
E
m∠YWZ = 120°
15

On a coordinate plane, rectangle W X Y Z is shown. Point W is at (negative 6, 6), point X is at (negative 4, 0), point Y is at (negative 7, negative 1), and point Z is at (negative 9, 5).

Question illustration
A
units
Option A
B
units
Option B
C
units
Option C
D
units
Option D
16

Parallelogram L M N O is shown. Angle L is (2 x + 10) degrees and angle O is (x + 20) degrees.

Question illustration
A
50°
B
70°
C
110°
D
130°
17

The equilateral triangle shown is rotated about line a. Each side of the triangle measures 20 mm.

Question illustration
A
a cylinder with a circumference of about 63 mm
B
a cylinder with a circumference of about 126 mm
C
a cone with a base circumference of about 63 mm
D
a cone with a base circumference of about 126 mm
18

April is randomly choosing five CDs to bring in her car from the following: 6 pop CDs, 8 rock CDs, and 10 R&B CDs.What is the complement of April choosing five pop CDs?

A
choosing five CDs where none of them are pop
B
choosing five CDs where not all of them are pop
C
choosing five CDs where at least one of them is pop
D
choosing five CDs where all of them are pop
19

Smaller circle C is inside larger circle C. The smaller circle is labeled the garden. The radius of the smaller circle is 8 feet. The distance from the rim of the inner circle to the rim of the outer circle is 3 feet.

Question illustration
A
172.70 ft2
B
178.98 ft2
C
200.96 ft2
D
379.94 ft2
20

In the diagram, WZ=.

Question illustration
A
units
Option A
B
units
Option B
C
units
Option C
D
units
Option D

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