Answer
$x=15$ units
Work Step by Step
Step 1: Since the triangles are similar, their corresponding sides are in
proportion.
Step 2: This means that $\frac{2}{3}=\frac{10}{x}$.
Step 3: Solving through cross multiplication: $2x=3\times10$.
Step 4: $2x=30$
Step 5: $x=15$ units
Check:
Step 1: Equating the two proportions to see if they reduce to the same fraction: $\frac{2}{3}=\frac{10}{15}$.
Step 2: Simplifying both sides: $\frac{2}{3}=\frac{2}{3}$.
Step 3: Therefore, the answer is accurate.