Question

Find the value of x.A12B10Q 6 RХ54T 8 SD16СABCD – QRSTtype your answer...

Answer 1

Since the quadrilaterals are similar, then, corresponding sides of them are proportional. Then:

`(BC)/(AB)=(RS)/(QR)`

Substitute the length of each segment into the equation and solve for x:

`\begin{gathered} \Rightarrow(x)/(12)=(4)/(6) \\ \Rightarrow x=(4)/(6)*12 \\ \Rightarrow x=8 \end{gathered}`

Therefore:

`x=8`