what values of a and b make quadrilateral MNOP a parallelogram?(Angry)no=21 op=13 mp=4a+b mn=3a-2b

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- Apr 26th 2009, 11:32 AMbreezyana14quadrilateral help!!
what values of a and b make quadrilateral MNOP a parallelogram?(Angry)no=21 op=13 mp=4a+b mn=3a-2b

- Apr 26th 2009, 12:08 PMearboth
If the quadrilateral is a parallelogram then

$\displaystyle |\overline{MN}| = |\overline{OP}| = 13$

and

$\displaystyle |\overline{PM}| = |\overline{ON}| = 21$

That means you have a system of simultaneous equations:

$\displaystyle \left|\begin{array}{lcr}4a+b&=&21\\3a-2b&=&13\end{array}\right.$

I've got a = 5 and b = 1