Answer:
Step-by-step explanation:
JK bisected at C means ...
KC = CJ
3x -2 = 7x -14 . . . . substitute the given expressions
-2 = 4x -14 . . . . . . subtract 3x
12 = 4x . . . . . . . . . add 14
3 = x . . . . . . . . . . . divide by 4
We can find the value of KC and multiply that by 2 to get the length JK:
KC = 3x -2 = 3·3 -2 = 7
JK = 2·KC = 2·7
JK = 14
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We can also find the length JK by adding the separate lengths:
JK = KC + CJ = (3x -2) +(7x -14) = 10x -16
JK = 10·3 -16 = 14
