Final answer:
To find the length of KL, set up the equation KJ + JL = KL and solve for x. Then substitute the value of x into the equation KL = 9x + 2 to find the length of KL.
Step-by-step explanation:
To find the length of KL, we can use the fact that Point K is between Points J and L. We are given that KL = 9x + 2, KJ = 5x - 8, and JL = 12x.
To find KL, we need to find the value of x and substitute it into the equation KL = 9x + 2.
Since K is between J and L, we can set up the equation KJ + JL = KL. Substituting the given values, we have (5x - 8) + 12x = 9x + 2. Simplifying this equation, we get 17x - 8 = 9x + 2. Solving for x, we get x = 1.
Substituting x = 1 into the equation KL = 9x + 2, we have KL = 9(1) + 2 = 9 + 2 = 11.
Therefore, KL = 11.