these two triangles are similar. what is the measure of x? x = ?

Explanation:

Step1: Set up proportion

Since the triangles are similar, the ratios of corresponding sides are equal. So, (\frac{x}{6}=\frac{15}{9}).

Step2: Solve for (x)

Cross - multiply: (9x = 6\times15). Then (9x=90). Divide both sides by (9): (x=\frac{90}{9}).

Answer:

(10)