Question

1. the two triangles are similar. find the value of x.

Explanation:

Step1: Set up similarity proportion

$\frac{9}{6} = \frac{12}{x} = \frac{15}{10}$

Step2: Simplify the known ratio

$\frac{9}{6} = \frac{3}{2}$, $\frac{15}{10} = \frac{3}{2}$

Step3: Solve for $x$ using proportion

$\frac{12}{x} = \frac{3}{2} \implies 3x = 12 \times 2$
$3x = 24 \implies x = \frac{24}{3}$

Answer:

$8$