Question

Point 5 is the midpoint of segment TU. ST=8+3x and TU=100. find x.

Answer 1

Given:

ST = 8 + 3x

TU = 100

Point (S) is the midpoint of TU

So,

`ST=(1)/(2)TU`

So,

`8+3x=(1)/(2)\cdot100`

Solve the equation to find x:

`\begin{gathered} 8+3x=50 \\ 3x=50-8 \\ 3x=42 \\ x=(42)/(3) \\ \\ x=14 \end{gathered}`

So, the answer will be x = 14