Answer: KL is 21.6
Step-by-step explanation:
Looking at the information given we can say that JK has to equal the length of KL plus JL becuse KL and JL lie on JK. So set the equation equal each to solve for x.
KL = 2x + 2
JL = 55
JK = 7x + 8
2x + 2 + 55 = 7x + 8 Solve for x
2x + 57 = 7x + 8
-2x -7x
57 = 5x + 8
-8 -8
49 = 5x
x= 49/5
Since we know that x is equal to 49/5 to find the length of KL we need to input x.
KL = 2x +2
KL = 2(49/5) + 2
KL = 98/5 + 2
KL = 108/5
KL = 21.6