Point L is on line segment \overline{KM} KM

. Given LM=3x+3,LM=3x+3, KM=5x+4,KM=5x+4, and KL=5x+1,KL=5x+1, determine the numerical length of \overline{KM}.

KM

.

KM = 4 units

Step-by-step explanation:

Here, we are to determine the numerical length of KM

since point L is on the line segment;

Then;

KM = KL + LM

Thus;

5x + 4 = 5x + 1 + 3x + 3

5x + 4 = 8x + 4

8x - 5x = 4-4

3x = 0

x = 0/3 = 0

From the question;

KM = 5x + 4

Substitute x = 0

Thus we have;

5(0) + 4 = 4

KM = 4 units