Answer:
JL = 38
Step-by-step explanation:
Since JK ≅ KL , then Δ JKL is isosceles and KM is a perpendicular bisector, so
JM = ML , that is
14x - 9 = 8x + 3 ( subtract 8x from both sides )
6x - 9 = 3 ( add 9 to both sides )
6x = 12 ( divide both sides by 6 )
x = 2
Then
JL = 14x - 9 + 8x + 3 = 22x - 6 = 22(2) - 6 = 44 - 6 = 38
