Question

Point U is on line segment \overline{TV} TV . Given TV=3x,TV=3x, UV=x+1,UV=x+1, and TU=x,TU=x, determine the numerical length of \overline{TU}. TU .

Answer 1

`TU = 1`

Step-by-step explanation:

Given

`TV = 3x`

`UV = x + 1`

`TU = x`

Required

Determine TU

Since U lies on TV, then

`TV = TU + UV`

Substitute values for TV, TU and UV

`3x = x + x + 1`

`3x = 2x + 1`

Collect Like Terms

`3x- 2x = 1`

`x = 1`

Recall that
`TU = x`

Then

`TU = 1`