JL = 70
Step-by-step explanation:
Since K is the midpoint of JL then JK = KL and
JL = JK + KL = 9x - 1 + 2x + 27 = 11x + 26
solve for x using JK = KL
9x - 1 = 2x + 27 ( subtract 2x from both sides )
7x - 1 = 27 ( add 1 to both sides )
7x = 28 ( divide both sides by 7 )
x = 4, hence
JL = 11x + 26 = (11 × 4 ) + 26 = 44 + 26 = 70
