10.

The Symmetric Property of Congruence allows you to say that if ∠LMN ≅ ∠NSP, then ∠NSP ≅ _____.

∠NSP

∠PSN

∠LMN

∠NML

11 answers

∠LMN
Solve: −3z + 8 = 2z – 12
To solve the equation, first combine the variables on one side of the equation and the constants on the other side:

Subtract 2z from both sides:
-3z - 2z + 8 = -12
Simplify:
-5z + 8 = -12

Subtract 8 from both sides:
-5z = -20

Divide by -5:
z = -20 / -5
z = 4

Therefore, the solution to the equation -3z + 8 = 2z - 12 is z = 4.
Solve: 5y − 16 = 3y + 20
To solve the equation, first combine the variables on one side of the equation and the constants on the other side:

Subtract 3y from both sides:
5y - 3y - 16 = 20

Combine like terms:
2y - 16 = 20

Add 16 to both sides:
2y = 36

Divide by 2:
y = 18

Therefore, the solution to the equation 5y - 16 = 3y + 20 is y = 18.
Giant Panda 1

Find the value of x.

A.
12

B.
32

C.
15

D.
25
To find the value of x, we need to solve for x in the following equation:

3x - 9 = 87

Add 9 to both sides of the equation:

3x = 96

Next, divide both sides by 3 to solve for x:

x = 96 / 3
x = 32

Therefore, the value of x is 32, so the answer is B. 32.
ind the measure of the vertical angles.

A.
14°

B.
50°

C.
20°

D.
Vertical angles are congruent, which means they have equal measures. Therefore, the measure of the vertical angles will be the same.

Without knowing the specific angles provided in the question, we can't determine the exact measure of the vertical angles. If one of the angles is 50° (for example), then the vertical angle would also be 50°.

Please provide the specific angles so that we can find the measure of the vertical angles.
Giant Panda 1

Find the measure of the vertical angles.

A.
14°

B.
50°

C.
20°

D.
Without specific angle measurements provided in the question, it is not possible to determine the measure of the vertical angles.

Vertical angles are congruent, meaning they have equal measures. In order to find the measure of the vertical angles, you would need the exact measurements of the angles involved.

Please provide the specific angle measurements so that we can calculate the measure of the vertical angles.