Sorry to bother you guys twice on the same day but hopefully, you'll be able to help me out.

I have drawn a diagram (a lovely diagram if I say so myself...) and here is what I need to do:

Find the ratio in which M divides AC and BD

Also, AB is parallel to DC and HALF ITS LENGTH.

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First, I tried to find AC (which turns out to bey+2x) and then AM would be k(y+2x) where k is a scalar but apart from that, I truly am stuck. I have a feeling I need to somehow find AM and BM but how?

Can you please help me out? Of course, all assistance is appreciated.

Thanks.