Question

Find the value of x.

Answer 1

Answer:

x = 3

Step-by-step explanation:

A midsegment in a trapezoid is formed when one connects the midpoints of the two legs (non-parallel sides) in a trapezoid. The midsegment theorem states that the length of the midsegment is equal to the average of the two bases (that is the parallel sides).

One can apply the midsegment theorem here by stating the following;

$\frac{(YZ)+(TM)}{2}=PW$

Substitute,

$\frac{23+11x+2}{2}=29$

Simplify,

$\frac{25+11x}{2}=29$

Inverse operations,

$\frac{25+11x}{2}=29$

$25+11x=58\\\\11x = 33\\\\x = 3$