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MariettaO [177]

3 years ago

11

The sum of the interior angles of a polygon measure 2880°. what is the name of the polygon?

1 answer:

Katyanochek1 [597]3 years ago

8 0

The name of the polygon is an Octdecagon, or in other words, a 18-sided polygon. You find the total angles of a polygon by the formula (n - 2) * 180. What I did in this case to find the number of sides, was that I divided 2,880 by 180. My quotient was 16. Then, I added 2 in order to get 18. I did the reverse by doing (18 - 2) * 180 to check my answer, and it equaled 2,880.

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Which expression has a positive quotient?

svp [43]

Answer:

Only 1st option Negative three-fourths divided by Negative two-thirds has positive quotient.

Option A is correct.

Step-by-step explanation:

We will solve to find out Which expression has a positive quotient.

We know the division rule: $\frac{-a}{-b}=\frac{a}{b}$ and $\frac{-a}{b}=\frac{-a}{b}$

We will use these rules

1) Negative three-fourths divided by Negative two-thirds

$=\frac{-\frac{3}{4} }{-\frac{2}{3} }\\=-\frac{3}{4}\times -\frac{3}{2}\\=\frac{9}{8}$

The quotient is positive.

2) Negative StartFraction 1 over 8 EndFraction divided by 3 and one-fifth

$\frac{-\frac{1}{8} }{3\frac{1}{5} }\\=\frac{-\frac{1}{8} }{\frac{16}{5} }\\=-\frac{1}{18} \times \frac{5}{16}\\=-\frac{5}{288}$

The quotient is negative.

3) 2 and StartFraction 2 over 7 EndFraction divided by negative one-fifth

$\frac{2\frac{2}{7} }{-\frac{1}{5} }\\= \frac{\frac{16}{7} }{-\frac{1}{5} }\\=\frac{16}{7} \times -5\\=-\frac{80}{7}$

The quotient is negative.

4) Negative 6 divided by Five-thirds

$\frac{-6}{\frac{5}{3} }\\=-6 \times \frac{3}{5}\\=-\frac{18}{5}$

The quotient is negative.

So, only 1st option Negative three-fourths divided by Negative two-thirds has positive quotient.

Option A is correct.

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Read 2 more answers

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Viktor [21]

Answer:

The anwser would be 51 i think

Step-by-step explanation:

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