JK=2x+1 KL=6x JL=81 K is between J and L. Use the Segment Addition Postulate to solve for the variable
JK+KL=JL
2x+1 + 8x = 81
x = 8
Then find the lengths of JK KL and JL
The Segment Addition Postulate states that if three points (A, B, C) are collinear and B is between A and C, then AB + BC = AC.
In this problem, we are given that K is between J and L. Let's use the Segment Addition Postulate to solve for the variable x.
JK + KL = JL
Substituting the given values, we have:
(2x + 1) + (6x) = 81
Now, we can simplify and solve for x:
2x + 1 + 6x = 81
8x + 1 = 81
8x = 80
x = 10
Therefore, the value of x is 10.