Final answer:
To find the numerical length of bar (KM), we set up the equation KL + LM = KM with the given segment lengths, solve for x, and substitute back into the expression for KM. After solving the equation, we find that the numerical length of bar (KM) is 4 units.
Step-by-step explanation:
To determine the numerical length of bar (KM), we start by noting that line segment KM is composed of segments KL and LM. Since point L is on line segment KM, the sum of KL and LM equals the length of KM. Therefore, we can set up an equation:
KL + LM = KM
Now substituting the given values:
5x + 1 + 3x + 3 = 5x + 4
Combining like terms gives us:
8x + 4 = 5x + 4
Subtracting 5x from both sides of the equation:
3x = 0
Dividing by 3 yields:
x = 0
Finally, substituting back into the expression for KM:
KM = 5x + 4 = 5(0) + 4 = 4
The numerical length of bar (KM) is 4 units.