Answer:
To determine the numerical length of segment KM, we can use the fact that the sum of the lengths of two smaller segments (LM and LK) is equal to the length of the larger segment (KM):
LM + LK = KM
Given that LM = 3x + 3 and LK = 5x + 1, we can substitute these values into the equation:
3x + 3 + 5x + 1 = 5x + 4
Combine like terms:
8x + 4 = 5x + 4
Subtract 5x from both sides:
3x = 0
Divide by 3:
x = 0
Now that we know the value of x, we can substitute it back into the expression for KM:
KM = 5x + 4
KM = 5(0) + 4
KM = 0 + 4
KM = 4
Therefore, the numerical length of segment KM is 4 units.