Question

uvwx \sim hgfi. find ux and uv.

Explanation:

Step1: Find similarity ratio

$\text{Ratio} = \frac{VW}{IH} = \frac{54}{8} = \frac{27}{4}$

Step2: Solve for UX (corresponds to GH)

$UX = GH \times \text{Ratio} = 6 \times \frac{27}{4}$
$UX = \frac{162}{4} = 40.5$

Step3: Solve for UV (corresponds to FI)

$UV = FI \times \text{Ratio} = 3 \times \frac{27}{4}$
$UV = \frac{81}{4} = 20.25$

Answer:

$UX = 40.5$
$UV = 20.25$