Print

Please login or register.
1 Hour 1 Day 1 Week 1 Month Forever
Login with username, password and session length

[admin]

2017 Mathcounts State Sprint Problem 29
Lines AB and DC are parallel, and transversals AC and BD intersect at a point X
between the two lines so that AX/CX = 5/ 7. Points P and Q lie on segments AB and
DC, respectively. The segment PQ intersects transversals BD and AC at points
M and N, respectively, so that PM = MN = NQ. What is the ratio AP/BP? Express
your answer as a common fraction.

Official solution (Method 1):

[admin]

2017 sprint problems

[admin]

Method 2 (Mass point Method)

Will be posted after the mass point method class on 3/31/2018.

[admin]

Method 3