Question

1. solve for x.

Explanation:

Step1: Apply the basic proportionality theorem (Thales' theorem)

If a line is drawn parallel to one side of a triangle intersecting the other two sides, then it divides those sides proportionally.
So, \(\frac{15}{6}=\frac{x}{3}\)

Step2: Solve the proportion for \(x\)

Cross - multiply: \(15\times3 = 6x\)
\(45=6x\)
Divide both sides by 6: \(x=\frac{45}{6}=\frac{15}{2}=7.5\)

Answer:

\(x = 7.5\)