Question

the pair of polygons is similar. find the value of x. x=

Explanation:

Step1: Set up proportion

Since the polygons are similar, the ratios of corresponding sides are equal. So, $\frac{2}{3}=\frac{x + 3}{2x+2}$.

Step2: Cross - multiply

$2(2x + 2)=3(x + 3)$.

Step3: Expand

$4x+4 = 3x+9$.

Step4: Solve for x

$4x-3x=9 - 4$, so $x = 5$.

Answer:

$5$