If point cap p is 9 over 11 of the distance from cap m to cap n , what ratio does the point cap p partition the directed line segment from cap m to cap n into?

The whole distance from M to N is 11 equal parts, and P is 9 parts from M. That leaves 11 − 9 = 2 parts from P to N, so P partitions the segment in the ratio MP:PN = 9:2. The correct choice is “ratio of 9 to 2.”

AI-written and checked against the verified answer.