Question

Point S is on line segment RT. Given ST = 3x-8, RT = 4x, and RS = 4x-7, determine the numerical length of RT.

Answer 1

20.

Explanation:

1) according to the condition RT=ST+RS;

2) if RT=4x, ST=3x-8; RS=4x-7, then it is possible to re-write the equation as:

4x=(3x-8)+(4x-7);

3) if to solve this equation, then:

4x=7x-15; ⇔ 3x=15; ⇔ x=5.

4) if x=5, then the length of RT is:

RT=4x=20.