Question

solve for x. figures are not necessarily drawn to scale.
answer
x =

Explanation:

Step1: Use the property of similar triangles

Since the two triangles are similar (by AA similarity, as vertical angles are equal and the other angles can be shown to be equal), we can set up the proportion \(\frac{9}{x}=\frac{30}{35}\).

Step2: Cross - multiply

Cross - multiplying gives \(30x = 9\times35\).

Step3: Solve for \(x\)

First, calculate \(9\times35 = 315\). Then, \(x=\frac{315}{30}=\frac{21}{2}=10.5\).

Answer:

\(x = 10.5\)