Question

1. solve for x.

3.6
1.6
4.8
4.6

Explanation:

Step1: Apply angle - bisector theorem

If a ray bisects an angle of a triangle, then it divides the opposite side into segments that are proportional to the other two sides. So, we have the proportion $\frac{x}{2.4}=\frac{6}{4}$.

Step2: Cross - multiply

Cross - multiplying the proportion $\frac{x}{2.4}=\frac{6}{4}$ gives us $4x = 6\times2.4$.

Step3: Solve for x

First, calculate $6\times2.4 = 14.4$. Then, $x=\frac{14.4}{4}=3.6$.

Answer:

3.6