The triangles below are similar. Find the value of x.

x = 12
Find the value of the missing angle.

45°
Find the value of the missing side. Round to the nearest tenth.

x = 33.3
List all angles congruent to <1.

Congruent: <1, <4, <5, <8
Are the triangles similar? If so, by what postulate? If not, explain using scale factors/ratios.

Yes, they are similar by AA.
Find the value of x.
x = -7
Find the value of the missing side. Round to the nearest tenth.
x = 30
List all angles supplementary to <1.

Supplementary: <2, <3, <6, <7
Are the triangles similar? If so, by what postulate? If not, explain using scale factors/ratios.

No, they are not similar since 6/3 is not the same as 10/4.
Find the value of the missing angle.

x = 65°
Do the following lengths form a right triangle? SHOW YOUR WORK, OR YOU WILL NOT RECEIVE CREDIT.
a = 12, b = 35, c = 37
Yes, the given lengths do work.
Solve this equation.
2(x + 3) - 2 = 3x + 10
x = -6
The two triangles are similar. Find the value of x.

x = 3
Find the value of x.

x = 11
Find the perimeter of the triangle. Round to the nearest tenth.

x = 11.6
Perimeter = 28.0 ft
Identify the angle relationship. Then, solve for x. Finally, find the measure of both angles.

Congruent
x = 12
Angles = 64 degrees