Question

What is the value of x? Enter your answer in the box.

x=___

Answer 1

The answer is 10!!!

Explanation:

Answer 2

x = 10

Explanation:

Since the line segment bisects ∠A the following ratios are equal

`(AB)/(AC)` =
`(x+4)/(2x+1)`, that is

`(8)/(12)` =
`(x+4)/(2x+1)` ( cross- multiply )

8(2x + 1) = 12(x + 4) ← distribute both sides

16x + 8 = 12x + 48 ( subtract 12x from both sides )

4x + 8 = 48 ( subtract 8 from both sides )

4x = 40 ( divide both sides by 4 )

x = 10