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allsm [11]
3 years ago
9

COMPLETE THIS STATEMENT THE SUM OF THE MEASURES OF THE MEASURES OF THE EXTERIOR ANGLES OF AN N-GON, ONE AT EACH VERTEX IS

Mathematics
1 answer:
ryzh [129]3 years ago
3 0

Answer:

360 degrees

Step-by-step explanation:

we know that

The sum of the n exterior angles for any convex polygon with n sides is always 360 degrees

Example

An equilateral triangle has three equal interior angles measures 60 degrees

Each exterior angle measures 120 degrees

The sum of the exterior angles is equal to  120+120+120=360

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(2x+2y=10)+(-x+y=1)
ruslelena [56]
\bf \begin{cases}
2x+2y=10\\
-x+y=1
\end{cases}\\\\
-------------------------------\\\\
-x+y=1\implies y=1+x\impliedby \textit{let's plug that in the first equation}
\\\\\\
2x+2(\stackrel{y}{1+x})=10\implies 2x+2+2x=10\implies 4x=8
\\\\\\
x=\cfrac{8}{4}\implies \boxed{x=2}\impliedby \textit{let's plug that in the second one}
\\\\\\
-(\stackrel{x}{2})+y=1\implies \boxed{y=3}
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3 years ago
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stira [4]
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3 years ago
PLEASE HELP ILL MAKE YOU BRAINLIEST Which of the following ordered pairs should be tested to determine which side to shade when
ArbitrLikvidat [17]

Answer:

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Step-by-step explanation:

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3 years ago
Whole number between 1 and 10, and then write its reciprocal.
Natasha_Volkova [10]

Answer:

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3 0
3 years ago
In a right triangle, the acute angles measure 2x + 50 and 3x degrees. What is the measure of the smallest angle of the triangle?
andrezito [222]
Since this is a right triangle the two acute angles must sum to 90 degrees because a triangle's angles must sum to 180 degrees. 

2x+50+3x=90

5x+50=90

5x=40

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So the smallest angle is 3x=3*8=24°
4 0
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