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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

:) <3

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High grade steel consists of 85% iron and 15% magnese. Low grade steel consists of 67% iron and 33% mag ese. NASA orders 500 ton

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Answer:

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In x tons of high grade steel there are

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$0.33y$ tons of magnese

NASA orders 500 tons of steel, so

$x+y=500$

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$0.85x+0.67y=500\cdot 0.8\\ \\0.85x+0.67y=400$

From the first equation,

$x=500-y$

Substitute it into the second equation:

$0.85(500-y)+0.67y=400\\ \\425-0.85y+0.67y=400\\ \\-0.18y=-25\\ \\y=\dfrac{2,500}{18}=138\dfrac{8}{9}\ tons\\ \\x=361\dfrac{1}{9}\ tons$

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3 years ago

The seats at a local baseball stadium are arranged so that each row has five more seats than the row below it. If there are four

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Answer:

Thus the last row has 119 seats.

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The number of seats in each row make an arithmetic series. We will use arithmetic equation to find the number of seats in last row:

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An = 4+(24-1)5

An = 4 + (23)(5)

An = 4 + 115

An = 119

Thus the last row has 119 seats.

Now to find the sum of seats we will apply the formula:

Sn = n(a1 + an)/2

Sn = 24(4+119)/2

Sn = 24(123) /2

Sn = 1476 .....

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2 years ago

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