Question

What is the value of X enter your answer in the box

Answer 1

To solve for the value of x you need to use and setup proportions then cross multiply then solve for the isolated variable

Answer 2

x = 27

Explanation:

The segment in the triangle bisects ∠ BAC and divides the opposite side into segments that are proportional to the other 2 sides , that is

`(x+8)/(2x-5)` =
`(10)/(14)` ( cross- multiply )

10(2x - 5) = 14(x + 8) ← distribute parenthesis on both sides

20x - 50 = 14x + 112 ( subtract 14x from both sides )

6x - 50 = 112 ( add 50 to both sides )

6x = 162 ( divide both sides by 6 )

x = 27