Question

If T is the midpoint of segment SU, find X segment ST equals 8X +11 and segment TU equals 12 X -1

Answer 1

`x=3`

Explanation:

If T is the midpoint of SU, then
`|ST|=|SU|`

We were given that:

`|ST|=8x+11`, and
`|TU|=12x-1`

We equate both expression and solve for x.

`8x+11=12x-1`

Group like terms to get:

`11+1=12x-8x`

Combine similar terms to get:

`12=4x`

Divide both sides by 4 to get:

`x=(12)/(4)=3`