Question

Point S is on line segment RT. Given ST = 3x

= 3x – 8, RT = 4x, and

RS = 4x 7, determine the numerical length of RT.

Answer 1

RT = 20

Explanation:

Given that,

Point S lies on the line segment RT.

We have, ST = 3x-8, RT = 4x and RS = 4x-7

It is clear that, RT = RS+ST

Putting the values, we get :

4x = 4x-7 + 3x-8

Taking like terms together,

4x-4x-3x = -7-8

-3x = -15

x = 5

Put the value of x in RT = 4x.

So,

RT = 4(5)

RT = 20

Hence, length of RT = 20.