If U is between T and B, find the value of x and the measure of TU.

TU=4x-1, UB=2x-1, TB=5x

Please help!

TU=4x-1, UB=2x-1, TB=5x

TU + UB = TB
4x - 1 + 2x - 1 = 5x

Solve for x.
Substitute the value you find for x in
TU (4x - 1) to find the measure of TU.

1+2=3!!!111!1!1!!!

To find the value of x and the measure of TU, we need to use the given information and the fact that U is between T and B.

1. Since U is between T and B, the sum of the lengths of TU and UB should be equal to the length of TB. In other words, TU + UB = TB.

Using the given lengths, we can set up the equation:
4x - 1 + 2x - 1 = 5x

2. Now, we can solve the equation to find the value of x:
Combine like terms: 6x - 2 = 5x
Subtract 5x from both sides: x - 2 = 0
Add 2 to both sides: x = 2

Thus, the value of x is 2.

3. To find the measure of TU, substitute the value of x back into the expression for TU:
TU = 4x - 1
Substituting x = 2: TU = 4(2) - 1 = 8 - 1 = 7

Therefore, the value of x is 2, and the measure of TU is 7.

5x = 4x - 1 + 2x - 1

2 = x

TU = 4(2) - 1 = 7

Thank you!