Answer:
Use the Triangle exterior angle theorem. The definition of this theorem, is that the exterior angle you are solving for is the sum of the two opposite interior angles. Set the equation:
80 + x = 3x - 22
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Subtract x and add 22 to both sides.
80 (+22) + x (-x) = 3x (-x) - 22 (+22)
80 + 22 = 3x - x
Simplify.
102 = 2x
Isolate the variable, x. Divide 2 from both sides.
(102)/2 = (2x)/2
x = 102/2
x = 51
Check. Plug in 51 to the equation given.
80 + x = 3x - 22
80 + (51) = 3(51) - 22
131 = 153 - 22
131 = 131 (True).
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The answer is 25 just use a calculator for that type of math
I tried to type the answer it said I was wrong
-138 <span>≥ -6(6b - 7)
Start by multiplying everything within the parentheses by -6.
-138 </span><span>≥ -36b + 42
Now move the +42 to the other side, so you're left with -36b. (You do this by subtracting 4242)
-138 - 42 </span><span>≥ -36b
-180 </span>≥ -36b
Divide both sides by -36 to find the value of b.
-180 / -36 ≥ b
5 ≥ b.
The answer is b ≤ 5.
