Answer:
Step-by-step explanation:
Your question doesn't match the picture. OCR is often inaccurate!—not that it matters much in this case. None of the choices is correct.
(20-4)·6² + 2 + 18 = 16·6² + 2 + 18
= 16·36 + 2 + 18
= 576 + 2 + 18
= 578 + 18
= 596
Answer: 5
Step-by-step explanation:
Since
, by the corresponding angles theorem,
. This means
by AA.
As corresponding sides of similar triangles are proportional,

However, as distance must be positive, we consider the positive solution, x=5.
Therefore, the answer is <u>5</u>
Answer:
Simplifying
(20m + 3) + -1(7m + -5) = 0
Reorder the terms:
(3 + 20m) + -1(7m + -5) = 0
Remove parenthesis around (3 + 20m)
3 + 20m + -1(7m + -5) = 0
Reorder the terms:
3 + 20m + -1(-5 + 7m) = 0
3 + 20m + (-5 * -1 + 7m * -1) = 0
3 + 20m + (5 + -7m) = 0
Reorder the terms:
3 + 5 + 20m + -7m = 0
Combine like terms: 3 + 5 = 8
8 + 20m + -7m = 0
Combine like terms: 20m + -7m = 13m
8 + 13m = 0
Solving
8 + 13m = 0
Solving for variable 'm'.
Move all terms containing m to the left, all other terms to the right.
Add '-8' to each side of the equation.
8 + -8 + 13m = 0 + -8
Combine like terms: 8 + -8 = 0
0 + 13m = 0 + -8
13m = 0 + -8
Combine like terms: 0 + -8 = -8
13m = -8
Divide each side by '13'.
m = -0.6153846154
Simplifying
m = -0.6153846154Step-by-step explanation: