Question

Using the segment addition postulate find the length of the segment EF

Answer 1

10

Explanation:

I'm pretty sure the segment addition postulate just means that if you add JK and KL together, you'll get the length of JL. Correct me if I'm wrong...

Anyways, JK = 3x - 4, and KL = 5x + 6. If we add these together, according to the segment addition postulate, we will get JL, which equals 9x - 8. So, we set up an equation:

3x - 4 + 5x + 6 = 9x - 8

Simplifying this equation, we get:

8x + 2 = 9x - 8

x = 10

So, our answer is 10.

(also you ask for segment EF but I don't see segment EF so I'm going to just answer the question in the picture)