Respuesta :

musiclover10045

ZW = WM and YP = PT

This means line PW is the middle of the shape.

PW = 29

YZ = 23

29-23 = 6

There is a difference of 6 btween the top line and the middle line, so there needs to be a difference of 6 from ther middle line to the bottom line.

The bottom line needs to equal: 29 +6 = 35

11x +2 = 35

Subtract 2 from each side:

11x = 33

Divide both sides by 11:

x = 33/11

x = 3

The answer is B.

The value of the variable x will be 3. Then the correct option is B.

What is a trapezoid?

It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a trapezoid, one pair of opposite sides are parallel.

If the non-parallel side of the trapezoid is divided equally, then the half of the sum of the parallel sides is equal to the length of the middle length.

That means, the half of the sum of the side length YZ and TM is equal to the length of PW.

PW = (YZ + TM) / 2

Substitute the value of PW, YZ, and TM. Then the equation will be

29 = (23 + 11x + 2) / 2

58 = 25 + 11x

11x = 58 – 25

11x = 33

  x = 33 / 11

  x = 3

The value of the variable x will be 3.

Then the correct option is B.

More about the trapezoid link is given below.

https://brainly.com/question/22607187

#SPJ5

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