Answer:
[tex] x = 3 [/tex]
Step-by-step explanation:
To find the value of x, we need an equation to solve for x.
Given that T is the midpoint of segment SU, it therefore means that, T divides SU into two equal parts, ST = TU.
[tex] ST = 8x + 11 [/tex]
[tex] TU = 12x - 1 [/tex]
[tex] ST = TU [/tex]
[tex] 8x + 11 = 12x - 1 [/tex] (substitution)
Subtract 12x from each side
[tex] 8x + 11 - 12x = 12x - 1 - 12x [/tex]
[tex] -4x + 11 = - 1 [/tex]
Subtract 11 from both sides
[tex] -4x + 11 - 11 = - 1 - 11 [/tex]
[tex] -4x = - 12 [/tex]
Divide both sides by -4
[tex] \frac{-4x}{-4} = \frac{-12}{-4} [/tex]
[tex] x = 3 [/tex]
