Question

How do I solve for x

Answer 1

x = 40/7

Explanation:

Look at the picture.

If ABC is any triangle and AD bisects (cuts in half) the angle BAC, then

`(AB)/(BD)=(AC)/(DC)`

In our triangle we have the proportion:

`(x)/(8)=(10-x)/(6)` cross multiply

`6x=8(10-x)` use distributive property

`6x=(8)(10)+(8)(-x)`

`6x=80-8x` add 8x to both sides

`14x=80` divide both sides by 14

`x=(80)/(14)`

`\boxed{x=(40)/(7)}`