Question

1. solve for x. 25 28 5/7 11 3/7 35

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. Let the triangle be $\triangle ABC$ with angle - bisector $AD$. The angle - bisector theorem states that $\frac{BD}{DC}=\frac{AB}{AC}$. In our case, we have $\frac{14}{x}=\frac{8}{20}$.

Step2: Cross - multiply

Cross - multiplying the proportion $\frac{14}{x}=\frac{8}{20}$ gives us $8x = 14\times20$.

Step3: Solve for $x$

First, calculate $14\times20 = 280$. Then, we have the equation $8x=280$. Divide both sides by 8: $x=\frac{280}{8}=\frac{70}{2}=35$.

Answer:

35