Question

1. there are two regular hexagons. the top side length of the left hexagon is 40, the right side length is 33; the top side length of the right hexagon is 10, and the right side length is x. find the value of x.

Explanation:

Step1: Identify Similar Figures

The two hexagons are similar, so their corresponding sides are proportional.

Step2: Set Up Proportion

Let the ratio of the sides be $\frac{40}{10}=\frac{33}{x}$.

Step3: Solve for \(x\)

Cross - multiply: \(40x = 33\times10\).
Simplify: \(40x=330\).
Divide both sides by 40: \(x=\frac{330}{40}=\frac{33}{4} = 8.25\).

Answer:

\(x = 8.25\)