Question

uvwx ~ dcbe. find be and bc.

Explanation:

Step1: Find similarity ratio

$\text{Ratio} = \frac{DC}{XU} = \frac{30}{8} = \frac{15}{4}$

Step2: Match sides for BE

Corresponding side to BE is VW.
$BE = VW \times \text{Ratio} = 6 \times \frac{15}{4}$
$BE = \frac{90}{4} = 22.5$

Step3: Match sides for BC

Corresponding side to BC is XW.
$BC = XW \times \text{Ratio} = 9 \times \frac{15}{4}$
$BC = \frac{135}{4} = 33.75$

Answer:

$BE = 22.5$
$BC = 33.75$