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11. find the value of x rounded to the nearest tenth. 12.0 16.3 5.3 11.0

Question

  1. find the value of x rounded to the nearest tenth. 12.0 16.3 5.3 11.0

Explanation:

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 $x=\frac{48}{9}\approx5.3$.

Answer:

5.3