Question

Point T is on line segment SU. Given TU = 4x+1, SU = 8, and ST = 3x, determine the numerical length of TU.

Answer 1

The numerical length of TU is 5

Here, we want to get the value of TU

Since T is on SU, we have the length of SU calculated as;

`\begin{gathered} SU\text{ = ST + TU} \\ 8\text{ = 3x + 4x+1} \\ 8\text{ = 7x + 1} \\ 8-1\text{ = 7x} \\ 7\text{ = 7x} \\ x\text{ = }(7)/(7) \\ x\text{ = 1} \\ TU\text{ = 4x + 1 } \\ TU\text{ = 4(1) + 1 = 4+1 = 5} \end{gathered}`