Question

Segment AB and segment BC are tangent to circle D. Find x if segment AB = -x + 6 and segment BC = 3x + 1. Find x.

Answer 1

Since, tangent lines AB and BC originates from point B

so, they must be equal

`AB=BC`

we are given

`AB=-x+6`

`BC=3x+1`

so, we can set them equal

`-x+6=3x+1`

now, we can solve for x

`6-1=3x+x`

`4x=5`

`x=(5)/(4)`...........Answer