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nata0808 [166]
3 years ago
9

The interior angles of a regular polygon each measure 165∘165∘. how many sides does the polygon have?

Mathematics
1 answer:
Verizon [17]3 years ago
3 0
First you do 180 - 165 to find the exterior angle, because all exterior angles equal 360 on a regular polygon. You get 15, so then you just do 360 ÷ 15 which is 24, which is your answer. I hope this helps!
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A,C,D

Step-by-step explanation:

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Step-by-step explanation:

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3 0
3 years ago
can anyone help me with this ??
Mars2501 [29]

Answer:

A. 336

B. Arranging 3 people in 8 chairs.

C. 42

B. Arranging 2 people in 7 chairs.

Step-by-step explanation:

A.

P(n, r) = P(8, 3)

Formula for Permutation is given as:

P(n, r) = \dfrac{n!}{(n-r)!}

Putting the value of n = 8 and r =3 , we get:

P(8, 3) = \dfrac{8!}{(8-3)!} \\\Rightarrow \dfrac{8\times 7 \times 6 \times 5\times 4 \times 3 \times 2\times 1}{5\times 4 \times 3\times 2\times 1}\\\Rightarrow 8\times 7 \times 6 \\\Rightarrow 336

B. Real world situation for part A:

Arranging 3 people on 8 chairs.

First person has 8 options.

Second person has 7 options.

Third person has 6 options.

C.

P(n, r) = P(7, 2)

Formula for Permutation is given as:

P(n, r) = \dfrac{n!}{(n-r)!}

Putting the value of n = 7 and r = 2 , we get:

P(7, 2) = \dfrac{7!}{(7-2)!} \\\Rightarrow \dfrac{7 \times 6 \times 5\times 4 \times 3 \times 2\times 1}{5\times 4 \times 3\times 2\times 1}\\\Rightarrow 7 \times 6 \\\Rightarrow 42

D.  Real world situation for part AC:

Arranging 2 people on 7 chairs.

First person has 7 options.

Second person has 6 options.

4 0
3 years ago
Adding and subtracting fractions 3/5 + 4/7
svlad2 [7]

Answer:

1 and 6/35

Step-by-step explanation:

You would want to multiply the denominators with the same number.

5×7

Multiply the numerators as well.

3×7 and 4×5

The fractions you would have now is 21/35 and 20/35, you can now add them up without having difficulties if the denominator is the same number.

You can also change it into decimals but I suggest this strategy.

8 0
3 years ago
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