Since AX is a median, AO:OX = 2:1, and since BY is a median, BO:OY = 2:1.
Now, we are given that AX = 12, so we can find AO and OX using the 2:1 ratio. Let AO = 2x and OX = x. Then, 2x + x = 12, which gives us x = 4. So, AO = 8 and OX = 4.
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