Question

$\triangle pqr \sim \triangle wvx$. find $wx$.

Explanation:

Step1: Find similarity ratio

$\text{Ratio} = \frac{PR}{WV} = \frac{21}{4}$

Step2: Match corresponding sides

Corresponding side to WX is QR. Set up proportion:
$\frac{QR}{WX} = \frac{21}{4}$

Step3: Solve for WX

Substitute QR=14:
$WX = 14 \times \frac{4}{21}$
Simplify: $WX = \frac{56}{21} = \frac{8}{3}$

Answer:

$\frac{8}{3}$