Answer:
[tex]x=3[/tex]
Step-by-step explanation:
If T is the midpoint of SU, then [tex]|ST|=|SU|[/tex]
We were given that:
[tex]|ST|=8x+11[/tex], and [tex]|TU|=12x-1[/tex]
We equate both expression and solve for x.
[tex]8x+11=12x-1[/tex]
Group like terms to get:
[tex]11+1=12x-8x[/tex]
Combine similar terms to get:
[tex]12=4x[/tex]
Divide both sides by 4 to get:
[tex]x=\frac{12}{4}=3[/tex]
