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OpenStudy (anonymous):
LMNO is a parallelogram.If NM = x+15 and OL = 4x +6, find the value of x and then find NM and OL.
OpenStudy (anonymous):
About what
OpenStudy (anonymous):
Well, since it is a parallelogram, you set NM = OL. Then you would get x=3. Each side would be 18.
OpenStudy (anonymous):
it looks like this|dw:1325244073059:dw|
OpenStudy (anonymous):
so whats the valuce of x?
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OpenStudy (anonymous):
idk i am in 6ht grade so sorry
OpenStudy (anonymous):
oh its okay (:
OpenStudy (anonymous):
NM = x+15 and OL = 4x +6
And we know that NM = OL because a parallelogram is a quadrilateral that has two pairs of parallel sides.
Solve for x
x+15=4x+6
OpenStudy (anonymous):
so what does x equal ?
OpenStudy (anonymous):
You have to solve the equation
x+15=4x+6
Isolate the variable x on one side (what ever you do to one side of an equation you have to do to the other)
subtract x from both sides
x-x+15=4x-x+6
15=3x+6
subtract 6 from both sides
15-6=3x+6-6
11=3x
divide both sides by 3
\[\frac{11}{3} = \frac{3x}{3}\]
and you are left with 11/3 = x
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OpenStudy (anonymous):
but im left with afraction so do i have to divide 11 by 3 ?
OpenStudy (anonymous):
You can use the fraction in NM = x+15 and OL = 4x +6
\[NM=\frac{11}{3} + 15\]
OpenStudy (anonymous):
Do you know how to add fractions with unlike denominators?
OpenStudy (anonymous):
no
OpenStudy (anonymous):
\[\frac{11}{3}+\frac{15}{1}\]
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