Question

J is between H & K, if HJ=4t-15, JK=5t-6, and KH=15, find JK

Answer 1

JK = 39

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