Question

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

Answer 1

TU = 5

Explanation:

given T is on segment SU , then

ST + TU = SU ( substitute values )

3x + 4x + 1 = 8 ( simplify left side )

7x + 1 = 8 ( subtract 1 from both sides )

7x = 7 ( divide both sides by 7 )

x = 1

Then

TU = 4x + 1 = 4(1) + 1 = 4 + 1 = 5