The value of x is ____

Mathematics

1 answer:

ruslelena [56]3 years ago

7 0

Answer: x = 96

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Work Shown:

The sum of the exterior angles for any polygon is 360 degrees. So add up the three exterior angles, set the sum equal to 360 and solve for x

130+134+x = 360
264+x = 360
x+264 = 360
x+264-264 = 360-264
x = 96

As a check,
130+134+x = 130+134+96 = 360
so the answer checks out

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<span>The correct answer is: Option (A) </span> $\frac{v-z}{w-x}$ <span>

Explanation:
If both lines are parallel, then their slopes must be equal.

For the line PQ, the slope is:
Slope of PQ = </span> $\frac{v-z}{w-x}$ --- (1)

For the line P'Q', the slope is:
Slope of P'Q' = $\frac{v+b-z-b}{w+a-x-a}$
Slope of P'Q' = $\frac{v-z}{w-x}$ --- (2)

As (1) = (2), hence the lines are parallel and their slope is $\frac{v-z}{w-x}$ (Option A).

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