Question

these polygons are similar. solve for x.
10
x
5
4
x = ?

Explanation:

Step1: Set up similarity proportion

Since similar polygons have corresponding sides in proportion, we equate the ratios of corresponding sides:
$\frac{10}{5} = \frac{x}{4}$

Step2: Simplify left ratio

Calculate the value of the known ratio:
$\frac{10}{5} = 2$

Step3: Solve for x

Multiply both sides by 4 to isolate x:
$x = 2 \times 4$

Answer:

$x=8$