In a triangle, the line joining the midpoints of two sides is parallel to the third side and equal to half its length
From the given figure we can see triangle VUW
Since Y is the midpoint of VW
Since Z is the midpoint of VU
Then by using the rule up, ZY joining the midpoints of VW and VU
Since UW is the third side in the triangle, then
[tex]ZY=\frac{1}{2}UW[/tex]
Since ZY = (x + 20)
Since UW = (x + 28), then
[tex](x+20)=\frac{1}{2}(x+28)[/tex]
Multiply both sides by 2
[tex]\begin{gathered} 2\times(x+20)=2\times\frac{1}{2}(x+28) \\ 2(x+20)=(x+28) \end{gathered}[/tex]
The equation is 2(x + 20) = (x + 28)
The answer is D
