AMC 10 B Problem 24 Let M be on the same side of lineBC as A such that4 BMC is

# Amc 10 b problem 24 let m be on the same side of

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2008 AMC 10 B, Problem #24“LetMbe on the same side of lineBCasA, such that4BMCis equilateral. Prove thatMis onAD.”Difficulty:HardNCTM Standard:Geometry Standard: analyze properties and determine attributes of two- andthree-dimensional objects.Mathworld.com Classification:Geometry>Plane Geometry>Triangles>Special Triangles>Other Triangles>Isosceles Triangle
Michael walks at the rate of 5 feet per second on a long straight path.Trash pails are located every 200 feet along the path.A garbage trucktravels at 10 feet per second in the same direction as Michael and stopsfor 30 seconds at each pail. As Michael passes a pail, he notices the truckahead of him just leaving the next pail. How many times will Michael andthe truck meet?2008 AMC 10 B, Problem #252008 AMC 12 B, Problem #20“Plot the given condition in a Cartesian coordinates to gain insightof the problem.”Difficulty:HardNCTM Standard:Algebra Standard: understand patterns, relations, and functions.Mathworld.com Classification:Geometry>Coordinate Geometry>Cartesian Coordinates