Question

the given figures are similar. write a proportion for the following and solve for x. abcd ~ jklm proportion → x =

Explanation:

Step1: Set up the proportion

Since \(ABCD\sim JKLM\), the ratios of corresponding sides are equal. So, \(\frac{AD}{JK}=\frac{AB}{JM}\). Substituting the values, we get \(\frac{6}{x}=\frac{12}{9}\).

Step2: Cross - multiply

Cross - multiplying gives \(12x = 6\times9\).

Step3: Solve for \(x\)

First, calculate \(6\times9 = 54\). Then, \(12x=54\). Divide both sides by 12: \(x=\frac{54}{12}=\frac{9}{2}=4.5\).

Answer:

Proportion: \(\frac{6}{x}=\frac{12}{9}\)
\(x = 4.5\)