Question

4. If TV = 14x - 8, find TU. 9x+2 5

Answer 1

Answer:

x = 3

Explanation:

The complete question is shown in the attached diagram

Collinear points are defined as points that lie on the same straight line

Since points U, T and V are given to be collinear, this means that these three points lie on the same straight line

Now, we are given that point U is between points T and V

This would mean that the length of segment TV can be written as the sum of the segments TU and UV

Therefore:

TV = TU + UV

We are given that:

TV = 14x - 8

TU = 9x + 2

UV = 5

Substitute with the givens in the above mentioned equation and solve for x as follows:

TV = TU + UV

14x - 8 = 9x + 2 + 5

14x - 8 = 9x + 7

14x - 9x = 7 + 8

5x = 15

x = 3

Hope this helps :)