Question

30 points

K is the midpoint of JL (line segment), JL = 4x - 2, and JK = 7. Find x, KL, and JL.

Answer 1

we are given

JL = 4x - 2

JK = 7

K is the midpoint of JL

so,

$JL=2*JK$

now, we can plug values

we get

Calculation of x:

$4x-2=2*7$

now, we can solve for x

$4x-2=14$

$4x=16$

$x=4$

Calculation of KL:

Since, K is the midpoint of JL

$JK=KL$

we can plug values

and we get

$KL=7$

Calculation of JL:

Since, K is the midpoint of JL

$JL=2*KL$

$JL=2*7$

$JL=14$