Question

what equation would you set up to solve for x?
o a. x + 20 = x + 28
o b. 2(x + 20) = x + 28
o c. 2(x + 28) = x + 20
o d. 2(x + 20) = 2(x + 28)

Explanation:

Step1: Identify triangle - midsegment theorem

In a triangle, a mid - segment (a line segment joining the mid - points of two sides) is parallel to the third side and its length is half of the length of the third side. Here, segment $ZY$ is a mid - segment of $\triangle VUW$ since $VZ = ZU$ and $VY=YW$.

Step2: Apply the mid - segment formula

The length of the mid - segment $ZY=x + 20$ and the length of the third side $UW=x + 28$. According to the mid - segment theorem, the length of the mid - segment is half of the length of the third side. So, $2(x + 20)=x + 28$.

Answer:

B. $2(x + 20)=x + 28$