jootero2 jootero2
  • 26-08-2022
  • Mathematics
contestada

If J is the midpoint of KI, KJ = 4x + 2 and
JI = 5x - 8, find KI.

Respuesta :

chetankachana
chetankachana chetankachana
  • 26-08-2022

Answer:

KI = 84

Step-by-step explanation:

Hello!

The distance between the endpoints to the midpoint is the same.

That means that 4x + 2 = 5x - 8. We can solve for x in this equation.

Solve for x

  • 4x + 2 = 5x - 8
  • 4x + 10 = 5x
  • 10 = x

The value of x is 10, but we are asked to solve for the measure of KI.

We can do that by adding the equations together and plugging in 10 for x.

Find KI

  • 4x + 2 + 5x - 8
  • 9x - 6
  • 9(10) - 6
  • 90 - 6
  • 84

The measure of KI is 84.

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