Considering the equations for the length of each segment, the numerical length of line ln is of 17 units.
Line segment ln is divided by the point m, hence the length of the line can be written according to the following equation:
ln = lm + mn.
The measures are given as follows:
Hence, using the equation we can solve for x, as follows:
ln = lm + mn.
4x + 9 = 2x + 7 + 3x
5x + 7 = 4x + 9
x = 2.
Hence the numerical length of line ln is given by:
ln = 4x + 9 = 4(2) + 9 = 8 + 9 = 17 units.
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