Respuesta :

The value of x is 2/ 9

How to determine the value

Given that:

  • KL = 2x
  • LM = 3x - 2
  • KM = 8x

Let's assume that line KL is a line segment and M lies between K and L

We then have;

KL = LM + KM

substitute the values

2x = 3x -2 + 8x

collect like terms

2x - 3x - 8x = -2

-9x = -2

Make 'x' the subject

x = -2/ -9

x = 2/ 9

Thus, the value of x is 2/ 9

Learn more about segments here:

https://brainly.com/question/2437195

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