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mixas84 [53]
3 years ago
8

Find the measure of one interior angle of a regular polygon with six sides

Mathematics
2 answers:
Arada [10]3 years ago
7 0

A, 120 degrees

A hexagon has a total of 720 degrees, divide that by 6 to get each angle's degree.

Anna [14]3 years ago
3 0

Answer:

720 degrees

Step-by-step explanation:

(n-2)180

(6-2)180

(4)180

4×180

=720

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Write the equation of the line that has a slope of 3 and goes through (-2,5)
dybincka [34]

Answer:

y = 3x + 1

Step-by-step explanation:

substitute the variables in y=mx+b

(5) = 3(-2) + b

5 = -6 + b

add 6 on each side

1 = b

5 0
3 years ago
Can you prove it??<br>it's hard,I tried but couldn't solve this.
BARSIC [14]

I'll abbreviate s=\sin\theta and c=\cos\theta, so the identity to prove is

\dfrac{s+c+1}{s+c-1}-\dfrac{1+s-c}{1-s+c}=2\left(1+\dfrac1s\right)

On the left side, we can simplify a bit:

\dfrac{s+c+1}{s+c-1}=\dfrac{s+c-1+2}{s+c-1}=1+\dfrac2{s+c-1}

\dfrac{1+s-c}{1-s+c}=-\dfrac{-2+1-s+c}{1-s+c}=-1+\dfrac2{1-s+c}

Then

\dfrac{s+c+1}{s+c-1}-\dfrac{1+s-c}{1-s+c}=2\left(1+\dfrac1{s+c-1}-\dfrac1{1-s+c}\right)

So the establish the original equality, we need to show that

\dfrac1{s+c-1}-\dfrac1{1-s+c}=\dfrac1s

Combine the fractions:

\dfrac{(1-s+c)-(s+c-1)}{(s+c-1)(1-s+c)}=\dfrac{2-2s}{c^2-s^2+2s-1}

We can rewrite the denominator as

c^2-s^2+2s-1=c^2+s^2-2s^2+2s-1

then using the fact that c^2+s^2=\cos^2\theta+\sin^2\theta=1, we get

1-2s^2+2s-1=2s-2s^2

so that we have

\dfrac1{s+c-1}-\dfrac1{1-s+c}=\dfrac{2-2s}{2s-2s^2}=\dfrac1s

as desired.

6 0
4 years ago
If f(x)= x^2-3x whats is the value of f(5)
nadezda [96]

Answer:

10

Step-by-step explanation:

5 to the power of 2 is 25, and -3 times 5 is -15, so 25-15=10

3 0
3 years ago
54,36,24 whats the next term in the geometric sequence
kodGreya [7K]

Answer:

16

Step-by-step explanation:

The common ratio is 36/54 = 2/3.

So the next term is 2/3 (24) = 16.

3 0
3 years ago
PLEASE HELP
Alexus [3.1K]

Answer:

x=1

y=0

Step-by-step explanation:

(x-1)=-2x+2

3x-1=2

3x=3

x=1

-2(1)+2

-2+2=0

6 0
3 years ago
Read 2 more answers
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