Question

Point K is on line segment JL. Given JK=2x, KL=x+3, and JL=4x, determine the numerical length of KL

Answer 1

6

Explanation:

JK+KL=JL

2x + x + 3 = 4x

3x + 3 = 4x

-4x -4x

-x + 3 = 0

-3 -3

-x = -3

-x/-1 = -3/-1

x = 3

Plug in value of x to find KL:

JL = 4(3) = 12

it’s 6 because on the line it’s half; between JK and KL.

final answer:

KL = 6