23.0 points23.) ABCD-WXYZ.AD = 12, DC = 3, and WZ = 50. Find ZY.The figure is not drawn to scale.xBwAYczA.) 150B.) 20.7C.) 12.5D.) 200А

We are given two similar quadrilaterals ABCD and WXYZ
Recall that if two quadrilaterals are similar then corresponding sides are in the same proportion.
So we can write,
[tex]\frac{AD}{WZ}=\frac{DC}{ZY}[/tex]Let us substitute the given values and solve for ZY
[tex]\begin{gathered} \frac{12}{50}=\frac{3}{ZY} \\ ZY\cdot12=50\cdot3 \\ ZY=\frac{50\cdot3}{12} \\ ZY=\frac{150}{12} \\ ZY=12.5 \end{gathered}[/tex]Therefore, the length of side ZY is 12.5
The correct option is C.