AnswersFL-1200310-Algebra 1 Sem 2Multiplying Polynomials and Simplifying Expressions

Triangle Angle Theorems Answers

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1
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Angle RST is a right angle. Angle RSU has a measure of 25°.

Question illustration
A
25°
B
45°
C
65°
D
75°
2
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In the diagram, the length of segment QV is 15 units.

Question illustration
A
4 units
B
11 units
C
14 units
D
15 units
3

Which statements are true about the figure? Select two options.

A
GNJ is complementary to JNK.
Option A
B
MNL is complementary to KNL.
Option B
C
MNG is complementary to GNJ.
Option C
D
KNJ is supplementary to MNL.
Option D
E
GNM is supplementary to JNK.
Option E
4

Which diagram shows lines that must be parallel lines cut by a transversal?

A
2 horizontal lines are intersected by a third line. At the intersection of the first line with the third line, the bottom left angle is 115 degrees. At the intersection of the second line with the third line, the uppercase left angle is 65 degrees.
Option A
B
2 horizontal lines are intersected by a third line. At the intersection of the first line with the third line, the bottom left angle is 115 degrees and the bottom right angle is 65 degrees.
Option B
C
2 horizontal lines are intersected by a third line. At the intersection of the first line with the third line, the top right angle is 115 degrees. At the intersection of the second line with the third line, the uppercase left angle is 115 degrees.
Option C
D
2 horizontal lines are intersected by a third line. At the intersection of the first line with the third line, the uppercase left angle is 65 degrees and the bottom right angle is 65 degrees.
Option D
5

Consider the diagram.

Question illustration
A
corresponding angles theorem
B
alternate interior angles theorem
C
vertical angles theorem
D
alternate exterior angles theorem
6

Horizontal lines e and f are cut by vertical lines a and b. At the intersection of lines a and e, the uppercase right angle is (x + 1) degrees. At the intersection of lines a and f, the bottom right angle is (x minus 3) degrees. At the intersection of lines b and e, the bottom left angle is y degrees.

Question illustration
A
87
B
88
C
91
D
92
7

3 lines are shown. A line with points T, R, W intersects a line with points V, R, S at point R. A line extends from point R to point Z between angle V R W. Angle V R T is (5 x) degrees and angle T, R, S is (25 x + 30) degrees.

Question illustration
A
5°
B
7.5°
C
25°
D
37.5°
8

Two parallel lines are crossed by a transversal.

Question illustration
A
d = 55
B
d = 75
C
d = 125
D
d = 155
10

Based on this information, which pair of lines, together, could be perpendicular to RS? Select two options.

A
Line E A
Option A
B
Line E R
Option B
C
Line E F
Option C
D
Line F G
Option D
E
Line F S
Option E
11

In which diagram do angles 1 and 2 form a linear pair?

A
2 lines intersect and form 4 angles. Labeled clockwise from the top: blank, 2, blank, 1.
Option A
B
3 lines extend from a point and form 2 angles, labeled 1 and 2. Both angles add up to 90 degrees.
Option B
C
A horizontal line has 2 lines extending from a midpoint forming 3 angles. Labeled from left to right: 1, 2, 3.
Option C
D
A horizontal line has 1 line extending from it. Angles 1 and 2 are formed.
Option D
12

A pipe cleaner lay across a wire shelf. The wires that make up the shelf are parallel, and the pipe cleaner is a transversal. The parallel wires are labeled a, b, and, c, and the angles are labeled with numbers.

Question illustration
A
They are same-side interior angles, so angle 3 measures 50°.
B
They are alternate interior angles, so angle 3 also measures 130°.
C
They are corresponding angles, so angle 3 also measures 130°.
D
They are alternate exterior angles, so angle 3 measures 50°.
13

In the diagram, CE=12 units and BE=5 units.

Question illustration
A
2 units
B
7 units
C
12 units
D
17 units

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