QUESTION IMAGE
Question
- find the value of x rounded to the nearest tenth. 12.0 16.3 5.3 11.0
Step1: Apply the 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, $\frac{x}{8}=\frac{6}{9}$.
Step2: Cross - multiply
Cross - multiplying gives us $9x = 6\times8$.
Step3: Solve for x
$9x=48$, then $x=\frac{48}{9}\approx5.3$.
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5.3