Question

What is the value of x?
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Answer 1

27 =x

Explanation:

We can use the triangle angle bisector theorem

x+8 2x-5

-------- = ----------

10 14

Using cross products

14 (x+8) = 10 (2x-5)

Distribute

14x+112 = 20x -50

Subtract 14x from each side

14x-14x+112 = 20x-14x -50

112 = 6x - 50

Add 50 to each side

112+50 = 6x+50

162 = 6x

Divide by 6

162/6 = 6x/6

27 =x