Question

K is the midpoint of segment JL. JK = 6x + 7 and KL = 9x – 2. Find x and JL.

Answer 1

The value of x is 3.

The value of JL is 50 unit.

Explanation:

Given : K is the midpoint of segment JL. JK = 6x + 7 and KL = 9x – 2.

To find : The value of x and JL ?

Solution :

K is the midpoint of segment JL.

So, the distance is equal.

i.e. JK=KL

`6x+7=9x-2`

`3x=9`

`x=(9)/(3)`

`x=3`

The value of x is 3.

`JL = JK+KL\\JL=6x+7+9x-2\\JL=15x+5\\JL=15(3)+5\\JL=45+5\\JL=50`

Therefore, JL is 50 unit.