Question

practice problems (indep

1. find the value of x. must show work.

Explanation:

Step1: Apply the triangle proportionality theorem

If a line is parallel to one side of a triangle and intersects the other two sides, then it divides those sides proportionally. So, \(\frac{12}{x}=\frac{18}{30}\)

Step2: Cross - multiply

Cross - multiplying gives \(18x = 12\times30\)

Step3: Solve for \(x\)

First, calculate \(12\times30 = 360\). Then, \(x=\frac{360}{18}\)

Answer:

\(x = 20\)