find the length of AB given proportions

[jpearson3]

Segment AB contains the points A, M, P, Q, B in that order. M is the midpoint of segment AB. AP:BP = 4:3, AQ:BQ = 3:2, PQ = 5, find the length of AB.

 

[Deleted member 4993]

Segment AB contains the points A, M, P, Q, B in that order. M is the midpoint of segment AB. AP:BP = 4:3, AQ:BQ = 3:2, PQ = 5, find the length of AB.

What are your thoughts?

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[stapel]

Segment AB contains the points A, M, P, Q, B in that order. M is the midpoint of segment AB. AP:BP = 4:3, AQ:BQ = 3:2, PQ = 5, find the length of AB.

What are your thoughts? What have you tried? How far have you gotten? Where are you stuck? For instance, you drew the three lines, showing the three different ratio relationships. You noted the various relationships, such that |AQ| = |AP| + 5. You plugged these into the ratios. And... then what?

Please be complete. Thank you!

 

[jpearson3]

Got it.

I figured it out by drawing the line and writing 2 equations. But thanks anyway.