exam Maths Puzzle Numerical Ability

Given: Parallelogram ABCD with E and K on diagonal BD, DE = BK
Prove: AKCE is a Parallelogram

I have no idea how to solve this problem. Would appreciate your help.
Thanks,

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exam Other Question

I have a test coming up soom, and the instructor give us some problem for practice, but I am having some problem with the subject, can you explain me this two problems?

2. Suppo 9x-3<6-x+9x

What do you do after combining like terms?