Answer:
The value of x is 3.
The value of JL is 50 unit.
Step-by-step 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
[tex]6x+7=9x-2[/tex]
[tex]3x=9[/tex]
[tex]x=\frac{9}{3}[/tex]
[tex]x=3[/tex]
The value of x is 3.
[tex]JL = JK+KL\\JL=6x+7+9x-2\\JL=15x+5\\JL=15(3)+5\\JL=45+5\\JL=50[/tex]
Therefore, JL is 50 unit.
