SOLUTION: MNPQ is a parallelogram with diagonals QN and MP. If MR = 5(a + 6) and MP = 12a + 28, find MR, RP, and MP. so far i've got 5a+30=12a+28=7a+2

Algebra ->  Formulas -> SOLUTION: MNPQ is a parallelogram with diagonals QN and MP. If MR = 5(a + 6) and MP = 12a + 28, find MR, RP, and MP. so far i've got 5a+30=12a+28=7a+2       Log On


   

Question 1193068: MNPQ is a parallelogram with diagonals
QN and MP. If MR = 5(a + 6)
and MP = 12a + 28,
find MR, RP, and MP.
so far i've got 5a+30=12a+28=7a+2
Found 2 solutions by MathLover1, greenestamps:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

If+MR+=+5%28a+%2B+6%29 and MP+=+12a+%2B+28, find MR, RP, and MP.

Diagonals of a parallelogram bisect each other (MR+=+RP), so+MR is one+half of MP.
MR+=+MP%2F2
substituting expressions given for MR and MP:
5%28a%2B6%29+=+%2812a+%2B+28%29%2F2
10%28a%2B6%29+=+12a+%2B28
10a+%2B+60+=+12a+%2B28
60-28+=+2a
+2a=32
a=16

MR+=+5%28a%2B6%29+=+5%2816%2B6%29+=+110
RP+=+MR+=+110
MP+=+12a+%2B28+=+12%2816%29+%2B+28+=+220+ (which is MR+%2B+RP)




Answer by greenestamps(13203) About Me  (Show Source):
You can put this solution on YOUR website!


The other tutor guessed what point R is in the problem and proceeded to solve the problem she thought it was.

But in fact the problem can't be answered as posted, because point R is nowhere defined.

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To the student, who complained that I was wasting time by pointing out that his post was defective....

The point of my response is that, if you want help from us, you should make sure that the question you post is complete.