Answer: The correct option is
(D) 11.
Step-by-step explanation: We are given to find the length of the line segment AP, if AB = 38 units and PB = 27 units.
From the figure, we note that
the line segment AB is divided by the point P into two parts AP and PB.
So, we must have
[tex]AB=AP+PB\\\\\Rightarrow 38=AP+27\\\\\Rightarrow AP=38-27\\\\\Rightarrow AP=11.[/tex]
Thus, the length of the line segment AP is 11 units.
Option (D) is CORRECT.
