Answer:
JK = 39
Step-by-step explanation:
HJ and JK are segments of line segment HK, so they must add up to the length of KH.
HJ + JK = HK
By substituting in the values of each line segment, we can solve for t.
(4t - 15) + (5t - 6) = 15
9t - 21 = 15
9t = 36
t = 9
Now that we have t, we can plug it in in order to find the value of JK.
JK = 5t - 6
5(9) - 6
45 - 6
39
JK = 39
