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taurus [48]
2 years ago
7

Find the number of sides for a regular polygon whose interior angles each measure 10 times each exterior angle

Mathematics
1 answer:
gavmur [86]2 years ago
6 0

Answer:

22 sides

Step-by-step explanation:

The expression to find an interior angle of a polygon is:

\frac{(n-2)*180}{n}

The expression to find an exterior angle of a polygon is:

\frac{360}{n}

Please note that "n" represents the number of sides the polygon has.

We can use these two expressions to set up an equation.

\frac{(n-2)*180}{n}=10(\frac{360}{n})

Multiply both sides by "n":

(n-2)*180=10n(\frac{360}{n})

Now, distribute:

180(n)-180(2)=\frac{3600n}{n}\\180n-360=3600

Divide both sides by 10:

\frac{180n}{10}-\frac{360}{10}=\frac{3600}{10}\\

18n-36=360

Add 36 to both sides:

18n=360+36\\18n=396

Divide both sides by 18:

n=22

The polygon has 22 sides

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What does ''tension cuts the air'' mean
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3 0
1 year ago
Cual es el resultado de la operacion algebraica: 25x+12x+31x-8x+5x
Tema [17]

Answer:

65x

Step-by-step explanation:

Observe que estos son terminos similares... por lo que podemos simplemente sumarlos y restarlos. Entonces obtenemos:

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3 years ago
What is 1 and 1/4 minus 3/8?
matrenka [14]

Answer: 7/8

Step-by-step explanation:

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The Least Common Denominator of 1 1/4 and 3/8 is 8. Now we can change the fractions.

1 1/4 = 1 2/8 = 10/8.

3/8 = 3/8.

Now we can subtract. Subtract the numerators of the first fraction from the numerators of the second fraction, and the denominators oft he first fraction to the denominators of the second fraction.

10/8 - 3/8 = 7/8.

Therefore, 1 1/4 - 3/8 = 7/8; the fourth answer.

6 0
2 years ago
Quadrilateral ABCD has coordinates A (3,1) B (4,4) C (7,5) D (6,2). Quadrilateral ABCD is a ?
ASHA 777 [7]
The Quadrilateral ABCD with coordinates (3, 1), (4, 4), (7, 5), (6, 2) is a rhombus because its length and width are both square root of 10 units and adjacent sides are not perpendicular. This can be seen by plotting the points you can either plot it or by using programs.

I hope this helps, God bless, and have a great day!
Brainliest is always appreciated :)
3 0
2 years ago
Read 2 more answers
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