Question

Can someone please help me!!

Answer 1

x = 6

Explanation:

Use Angle Bisector theorem (look at the picture).

We have the equation:

`(3)/(x)=(x-4)/(4)` cross multiply

`x(x-4)=(3)(4)` use the distributive property

`x^2-4x=12` subtract 12 from both sides

`x^2-4x-12=0\\\\x^2+2x-6x-12=0\\\\x(x+2)-6(x+2)=0\\\\(x+2)(x-6)=0\iff x+2=0\ \vee\ x-6=0`

`x+2=0` subtract 2 from both sides

`x=-2<0`

`x-6=0` add 6 to both sides

`x=6`