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3 years ago

If ΔMNP is equilateral, how did Casey draw the arcs that defined points M and N?

Mathematics

1 answer:

sleet_krkn [62]3 years ago

5 0

Answer: The given angles are

M = 64

N = 48

where P is unknown. While we don't know P at first, we can solve for it. Recall that for any triangle, the three angles always add to 180 degrees

M+N+P = 180

64+48+P = 180

112+P = 180

112+P-112 = 180-112

P = 68

-------------------------------------------

So in summary so far

M = 64

N = 48

P = 68

The shortest side is opposite the smallest angle. The side MP is opposite the smallest angle N = 48

The longest side is going to be opposite the largest angle. In this case, side MN is opposite the largest angle P = 68

The medium side is opposite the medium angle. So NP is the medium side length

-------------------------------------------------------

Final Answers:

Shortest Side = MP

Medium Side = NP

Longest Side = MN

See the attached image for a visual summary

The ascending order would be: MP, NP, MN

Note: Something like MP is the same as PM. The order of endpoints for any given individual segment doesn't matter

Step-by-step explanation: #need any questions answered within mins/ secs hit me up and I got you

#brainliest

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1. We assume, that the number 432 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for. 
3. If 432 is 100%, so we can write it down as 432=100%. 
4. We know, that x is 45% of the output value, so we can write it down as x=45%. 
5. Now we have two simple equations:
1) 432=100%
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where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
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6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 45% of 432

432/x=100/45
(432/x)*x=(100/45)*x - we multiply both sides of the equation by x
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