Answer:
Option (D). 5
Step-by-step explanation:
From the given figure,
In a ΔWXY,
XR ≅ RY and QY ≅ QW
That means QR is the mid-segment.
By the theorem of mid-segments,
[tex]QR=\frac{1}{2}(XW)[/tex]
(2x - 3) = [tex]\frac{1}{2}(x+9)[/tex]
2(2x - 3) = x + 9
4x - 6 = x + 9
(4x - 6) + 6 = (x + 9) + 6
4x = x + 15
4x - x = (x + 15) - x
3x = 15
x = [tex]\frac{15}{3}[/tex]
x = 5
Therefore, Option (D) will be the answer.
