Answer
$5$ units
Work Step by Step
Step 1: Since the triangles are similar, their corresponding sides are in
proportion.
Step 2: This means that $\frac{x}{3.75}=\frac{12}{9}$.
Step 3: Solving through cross multiplication: $9x=12\times3.75$.
Step 4: $9x=45$.
Step 5: $x=\frac{45}{9}=5$ units.
Check:
Step 1: Equating the two proportions to see if they reduce to the same fraction: $\frac{5}{3.75}=\frac{12}{9}$.
Step 4: $\frac{4}{3}=\frac{4}{3}$.
Step 5: Therefore, the answer is accurate.