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

Answer:

$x=3$

Step-by-step 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:

$x=\frac{12}{4}=3$