Point L is on line segment K M. Given LM = 3x + 3, KM = 5x + 4, and

KL = 5x + 1, determine the numerical length of K M.

1 answer

To find the length of KM, we need to subtract the length of KL from the length of LM.

LM = KL + KM

3x + 3 = (5x + 1) + (5x + 4)

3x + 3 = 10x + 5

3 = 7x + 5

7x = -2

x = -2/7

Now we can substitute this value of x into the expression for KM to find its length:

KM = 5(-2/7) + 4

KM = -10/7 + 4

KM = -10/7 + 28/7

KM = 18/7

So the numerical length of KM is 18/7.