Question

Point U is on line segment TV. Given TU = 4, UV = 5x, and TV = 3x + 6,

determine the numerical length of TV.

Answer 1

TV = 9

Explanation:

T U V

+--------------------------------------------+----------------------------+

4 5x

<-------------------------------------- 3x + 6 ------------------------>

5x + 4 = 3x + 6

2x = 2

x = 1

TV = 3x + 6 = 3(1) + 6 = 3 + 6 = 9