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Minchanka [31]
3 years ago
12

Given the diagram of parallelogram LMNO, solve for r.

Mathematics
2 answers:
goldfiish [28.3K]3 years ago
5 0
So here is how we are going to solve for r. In a parallelogram, given angles L and N are equal in measure, as well as angles M and O. Angles L and O are supplementary angles, as well as M and N. So the first thing we are going to do is to solve for t first.
<span>3t-15=2t+10
</span>3t-2t=10+15
t=25
Angle O : 2t + 10
<span>2(25)+10 = 60
</span><span>Adding L and O together gives you 180
so 4r+60=180
4r=120
r=30
</span><span>And 30*4=120
So r = 30
and angle L = 120
</span>Hope this answers your question.
Maslowich3 years ago
3 0
I got 30. If you set M and I equal to each other and solve you get 25. If you substitute 25 for t you get 60. L and I should be supplementary so if you subtract 60 from 180 you get 120. Lastly, since you're solving for r, you need to divided 120 by 4 to get 30.
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Step-by-step explanation:

by using the formula for area:  A= L x W  substitute in what you know:   A = 54  , the length in terms of the width so use

 

L=12 + 2W.

 

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You do this by subtracting 54 from both sides and putting the 2W2 first so now it looks like this:

 

2W2 + 12W -54 = 0

 

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Find b2-4ac which is the discriminant:

 

(12)2-4*2*(-54)=576

 

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It will look something like this:   W = (-b plus or minus the square root of the discriminant)/2a

 

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W = (-12 + 24)/4      and  W = (-12 - 24)/4

 

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<h3>How to determine the hypotenuse?</h3>

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See attachment (figure 1) for this triangle

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This is calculated using the following Pythagoras theorem

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See attachment (figure 2) for this triangle

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See attachment (figure 4) for this triangle

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Read more about right triangles at:

brainly.com/question/2437195

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