we are given
JL = 4x - 2
JK = 7
K is the midpoint of JL
so,
[tex]JL=2*JK[/tex]
now, we can plug values
we get
Calculation of x:
[tex]4x-2=2*7[/tex]
now, we can solve for x
[tex]4x-2=14[/tex]
[tex]4x=16[/tex]
[tex]x=4[/tex]
Calculation of KL:
Since, K is the midpoint of JL
[tex]JK=KL [/tex]
we can plug values
and we get
[tex]KL=7 [/tex]
Calculation of JL:
Since, K is the midpoint of JL
[tex]JL=2*KL [/tex]
[tex]JL=2*7 [/tex]
[tex]JL=14 [/tex]