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`