charitywheelerp3jblw
charitywheelerp3jblw charitywheelerp3jblw
  • 22-05-2020
  • Mathematics
contestada

K is the midpoint of JL



JK 2x + 4 and
KL = 4x - 8
Find JL.​

Respuesta :

jzonfleek016
jzonfleek016 jzonfleek016
  • 22-05-2020

Step-by-step explanation:

If K is the midpoint of JL, then JK and KL will be congruent to each other because a midpoint divides a line into two congruent segments.

JK ≅ KL

Now, let's add in the expressions.

2x + 4 = 4x - 8

-2x + 4 = -8

-2x = -12

x = 6

So, the value of x is equal to 6. Since JK is congruent to KL, then we can plug in x for one of the equations and multiply that answer by 2 so we can find the measurement of JL.

JK = 2(6) + 4

JK = 12 + 4

JK = 16

16 * 2 = 32

So, the measurement of JL is equal to 32.

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