Let ABCD and A'B'C'D' be two arbitrary parallelograms in the space, and let M, N, P, Q be points dividing the segments AA', BB', CC', DD' in equal ratios. Prove that the quadrilateral MNPQ is a parallelogram.

PLEASE IT'S URGENT I WILL DO ANYTHING FOR THE SOLVING METHOD.

A) if $50000 is invested in a bank account that pays 9.3% of interest compounded on a six-monthly basis, how much money will be in the account after 3 and 12 years? b) if matusalen's father had put $2.0 in the bank when he was born and there, how long would matusalen have had to his death (969 years later) if the interest was 7% per year composed each month and weekly?

Michelle and julie work at a catering company. they need to bake 264 cookies for a birthday party that starts in a little over an hour and a half. each tube of cookie dough claims to make 36 cookies, but michelle eats about 1/5 of every tube and julie makes cookies that are 1.5 times as large as the recommended cookie size.it takes about 8 minutes to bake a container of cookies, but since julie's cookies are larger, they take 12 minutes to bake. a. how many tubes should each girl plan to bake? how long does each girl use the oven? b. explain your solution process what did you make? c. what assumptions did you make?

Which property was used to simplify the expression? 3c+9 +4c=3c+4c+9