Question

14 fill in the blank 1 point what is the value of x in the diagram below? choose your answer... choose your answer... 6 4 3 5

Explanation:

Step1: Identify similar triangles

The two right - angled triangles are similar (by AA similarity, as they have a common acute angle and a right angle).

Step2: Set up proportion

For similar triangles, the ratios of corresponding sides are equal. So, \(\frac{18}{x}=\frac{48}{8}\)

Step3: Solve the proportion

Cross - multiply: \(48x = 18\times8\)
\(48x=144\)
Divide both sides by 48: \(x=\frac{144}{48}\)
\(x = 3\)

Answer:

\(3\)