76.2k views
3 votes
Need help with this too

Need help with this too-example-1

1 Answer

6 votes

Answer:

  • x = 3
  • JK = 14

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

_____

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

User Terrace
by
5.5k points