Answer: Choice A) AA postulate; 18
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Work Shown:
The triangles are similar to each other due to the AA (angle angle) postulate. The top angles are overlapping or shared angles. So that's the first pair. The second pair of angles is either bottom pair of angles, from the fact that corresponding angles are congruent. This is only true if the lines are parallel.
Due to the similar triangles, we can set up the proportion and solve for x
8/(8+4) = 12/x
8/12 = 12/x
8*x = 12*12 ... cross multiply
8x = 144
x = 144/8
x = 18
M < 2 and m < 6 are corresponding angles and are equal....so < 6 = 132.
< 6 and < 8 form a line and are equal to 180
< 6 + < 8 = 180
132 + < 8 = 180
< 8 = 180 - 132
< 8 = 48 <===
Answer:
82 units
Step-by-step explanation:
7 x 3 = 21
21 x 2 = 42
7 x 2 = 14
14 x 2 = 28
2 x 3 = 6
6 x 2 = 12
42 + 28 + 12 = 82
Answer:
y = 3x + 22
Step-by-step explanation:
y - 7 = 3(x+5)
Distribute,
y - 7 = 3x + 15.
Add 7 to both sides.
Final answer, y = 3x + 22.
Hope this helps!
