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UKMT Hamilton Olympiad, 2020

Geometry Difficulty 3.0 AMC 10/12 Prove it United Kingdom

In the diagram, $ABCD$ is a parallelogram, $M$ is the midpoint of $AB$ and $X$ is the point of intersection of $AC$ and $MD$ .

What is the ratio of the area of $MBCX$ to the area of $ABCD$ ?

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