Question

Point Tis on line segment SU. Given ST = 4x – 4,

TU = 4.x – 10, and SU = 5x + 1, determine the numerical length
of TU.

Answer 1

`TU=10\ units`

Explanation:

we know that

Point T is on line segment SU (between point S and point U)

so

`SU=ST+TU`-----> by addition segment postulate

substitute the given values and solve for x

`5x+1=(4x-4)+(4x-10)`

`5x+1=8x-14`

`8x-5x=1+14`

`3x=15`

`x=5`

Find the length of TU

`TU=4x-10`

substitute the value of x

`TU=4(5)-10`

`TU=10\ units`