Question

What is the length of segment LB AND BG. PLEASE HELP NEED ANSWERS NOW​

Answer 1

LB = 8

BG = 14

Explanation:

In triangle GJL, MB || JG... (given)

Therefore, by Basic Proportionality Theorem:

`(12)/(21) = (2x + 2)/(5x - 1) \\ \\ (4)/(7) = (2x + 2)/(5x - 1) \\ \\ 4(5x - 1) = 7(2x + 2) \\ \\ 20x - 4 = 14x + 14 \\ \\ 20x - 14x = 14 + 4 \\ \\ 6x = 18 \\ \\ x = (18)/(6) \\ \\ x = 3 \\`

LB = 2x + 2 = 2*3 +2 = 6 + 2 = 8

BG = 5x - 1 = 5*3 - 1 = 15 - 1 = 14