Question

15 the figures are similar. find the value of x.

Explanation:

Step1: Set up the proportion

Since the figures are similar, the ratios of corresponding sides are equal. So, \(\frac{9}{21}=\frac{6}{x}\).

Step2: Cross - multiply

Cross - multiplying gives \(9x = 21\times6\).

Step3: Simplify the right - hand side

\(21\times6=126\), so the equation becomes \(9x = 126\).

Step4: Solve for \(x\)

Divide both sides by 9: \(x=\frac{126}{9}\).

Answer:

\(x = 14\)