Respuesta :
Answer:
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
Answer:
JL is 70 units long.
Step-by-step explanation:
Givens
- K is the midpoint of JL. Where JL = 11x + 26.
- JK = KL by midpoint definition.
- JK = 9x - 1 by given.
- KL = 2x + 27 by given.
Replacing each expression, we have
JK = KL
9x - 1 = 2x + 27
9x - 2x = 27 + 1
7x = 28
x = 28/7
x = 4
Replacing this value in JL expression.
JL = 11x + 26
JL = 11(4) + 26
JL = 44 + 26
JL = 70 units.
Therefore, JL is 70 units long.
