Question

My last question, please help?

What is value of x?



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x =

Answer 1

x = 10

Explanation:

We can use the Angle Bisector of a triangle and proportions to solve this problem. Put the smaller triangle over the larger triangle.

AB x+4

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

AC 2x+1

8 x+4

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

12 2x+1

Using cross products

8(2x+1) = 12(x+4)

Distribute

16x+8 = 12x+48

Subtract 12x from each side

16x-12x +8 = 12x-12x+48

4x +8 = 48

Subtract 8 from each side

4x+8-8 = 48-8

4x = 40

Divide by 4

4x/4 =40/4

x = 10