Each exterior angle in a regular polygon has a measure of 18. How many sides does the polygon have? What is the sum of the measures of the interior angles?

Answers

Answer 1

Answer:

20 sides ( Icosagon )

3240 is the interior angles sum

Step-by-step explanation:

360 ÷ 18 = 20

180 - 18 = 162

162*20 = 3240 is the interior angles sum


Related Questions

What are the factors of 14 and 7?​

Answers

1 and 7 are the answer to this

What is the slope of the line2y+x=-3. Write your answer in simplest form.

Answers

Answer:

x+2y=-3

Step-by-step explanation:

I need help with this question ​

Answers

Answer:

The time may be calculated by making the equations equal each other:

2w +7 = .5w + 10

1.5w = 3

weeks = 2

Step-by-step explanation:

43. Write a system of equations that is equivalent to each of the systems of equations below
2x + 3y = 4
12x+3y=1


X-7y=8
5x+4y=20

Answers

1.

The new system of equivalent equations are 4x + 6y = 8 and 12x + 3y = 1

To get an equivalent equation, we multiply the original equation by a constant and replace it with the new equation.

So, 2x + 3y = 4 (1)

12x + 3y = 1 (2)

We multiply equation (1) by 2

So, 2x + 3y = 4 (1) × 2

⇒4x + 6y = 8 (3)

Replacing (1) by (3), we have

4x + 6y = 8 (3)

12x + 3y = 1 (2)

So, the new system of equivalent equations are 4x + 6y = 8 and 12x + 3y = 1.

2.

The new system of equivalent equations are 3x - 21y = 24 and 5x + 4y = 20

To get an equivalent equation, we multiply the original equation by a constant and replace it with the new equation.

So,

x - 7y = 8  (1)

5x + 4y = 20 (2)

We multiply equation (1) by 3, we have

So, x - 7y = 8 (1) × 3

⇒3x - 21y = 24 (3)

Replacing (1) by (3), we have

3x - 21y = 24 (3)

5x + 4y = 20 (2)

So, the new system of equivalent equations are 3x - 21y = 24 and 5x + 4y = 20.

Learn more about equivalent equations here:

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Wilson Green sells home security systems. He earns an 13% commission on every system he sells. Wilson's sales for this month totaled $6425. What is Wilson's commission? *

Answers

Answer

$835,25

Explanation

Total sales = $6425

Commission = 13%

100%  - $6425

13%     -  x

13 * 6425 = 83525

83525 \ 100 = 835,25

please help me :(
NO LINKS PLEASE

Answers

Answer:

Option A

Step-by-step explanation:

Given equation is:

[tex]x^2+1=2x-3[/tex]

Setting it up as a quadratic equation.

[tex]x^2+1-2x+3=0\\\\x^2-2x+4=0[/tex]

Comparing it with quadratic equation [tex]ax^2+bx+c=0[/tex], we get:

a = 1 , b = -2 , c = 4

Putting the values in quadratic equation:

[tex]\displaystyle x = \frac{-b +-\sqrt{b^2-4ac} }{2a} \\\\x = \frac{-(-2)+-\sqrt{(-2)^2-4(1)(4)} }{2(1)}[/tex]

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

Answer:

A

Step-by-step explanation:

a = 1, b = -2, and c =4

d = -b +- sqrt (b^2 - 4*a*b)

= - (-2) +- sqrt ((-2)^2 - 4*1*4)

Do the ratios 18 7 and 2 1 form a proportion?

Answers

Hi!

There are a few ways we can do this. The first one is this:

The ratios 18:7 and 2:1 can be represented as fractions: [tex]\frac{18}{7}[/tex] and [tex]\frac{2}{1}[/tex]

To see if they are proportions, we can put the fractions in their simplest form and see if they are equal. However, they are already simplified, and we can see that they are not equal.

Therefore they are not proportions.

The second way we can see is to use cross products. Once again we'll put them as fractions, except we'll set them side by side, like so:

[tex]\frac{18}{7}[/tex]  [tex]\frac{2}{1}[/tex]

To see if they are proportions, we simply multiply the diagonals. These would be 18 x 1 and 7 x 2 which equals 18 and 14. These are not equal.

Therefore they are not proportions.

Hope this helps! Have a great day! Let me know if you need any other help :D

RS is the perpendicular bisector of TU. Find x and y​

Answers

Answer:

x = 1

y = 30°

Step-by-step explanation:

is RS is ⊥ to TU then TS = US so we can use this equation to find 'x':

20x-3 = 5x+12

15x = 15

x = 1

we also know that RS intersecting with TU creates a 90° angle

if 3y = 90 then y = 30

Help help help help math

Answers

area=147 cm squared

7 x 7 = 49

49 x 3 = 147

How do you write 9,200 in scientific notation?

Answers

Answer:

9.2 x 10^3

Step-by-step explanation:

HOPE THIS HELPS and if it does brain pls thx

Sasha practices piano for 45 minutes, 6 days a week. How many minutes does Sasha practice in a week? Use an area model to solve.

Answers

Answer:

270

Step-by-step explanation:

Because i multiple 45 by 6

Given points A(6,4),B(-2,1)and C(5,0), graph triangle ABC and its reflection image across each line. The x-axis

Answers

Answer:

A’ (6, -4)

B’ (-2, -1)

C’ (-5, 0)

Step-by-step explanation:

When reflecting anything across the x, the x values stay the same and the y values become opposites. When reflecting anything across the y, the x values become the opposites and the y values stay the same.

The reflection of triangle ABC across the x axis has vertices at A'(6,-4), B'(-2,-1) and C'(5,0).

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, translation, reflection and dilation.

Reflection is the flipping of a figure. If a point A(x, y) is reflected across the y axis, the new point is at A'(x, -y). Given the vertices of the triangle at A(6,4), B(-2,1) and C(5,0).

The reflection of triangle ABC across the x axis has vertices at A'(6,-4), B'(-2,-1) and C'(5,0).

Find out more on reflection at: https://brainly.com/question/14062035

12 5 x-10 what is the value of x

Answers

Answer:

X=23

Step-by-step explanation:

12²+5²=(X-10)²

144+25=(X-10)²

169=(X-10)²

√169=√(X-10)²

13=X-10

X=23

Write in point-slope form an equation of the line that passes through the
point (5, 9) with slope 7.

Answers

Answer:

y = 7x -26

Step-by-step explanation:

[tex]y-9=7(x-5)[/tex]

[tex]y=7x-35+9[/tex]

[tex]y=7x-26[/tex]

Hope this helps

If f(x) = x2 - 1 and g(x) = 2x - 3, what is the domain of (fog)(x)?

Answers

Answer:

domain will be ( -∞, ∞)

Step-by-step explanation:

The given functions are f(x) = x² - 1 and g(x) = 2x - 3

We have to find domain of (fog)(x)

We will find the function (fg)(x) first.

(fog)(x) = f[g(x)]

         = (2x - 3)²

         = 4x² + 9 - 12x - 1

        = 4x² - 12x + 8

       = 4 (x² - 3x + 2)

The given function is defined for all values of x.

Therefore, domain will be ( -∞, ∞)

https://brainly.com/question/2458431

What is the remainder when (x3 1) is divided by (x2 â€"" x 1)?.

Answers

The remainder of the equation is [tex]\rm x+1[/tex].

Given that,

When the equation is [tex]x^3+1[/tex]  divided by [tex]x^2-x+1[/tex].

We have to determine,

The remainder for the equation?

According to the question,

The equation [tex]x^3+1[/tex] is divided by [tex]x^2-x+1[/tex].

On the division of the polynomial, the remainder is,

[tex]\dfrac{\rm x^3+1}{x^2-x+1}[/tex]

Factorize the equation to convert this into the simplest form,

[tex]\rm = x^3+1\\\\=x^3-x^2+x + x^2-x+1\\\\= x ( x^2-x+1) + 1(x^2-x+1)\\\\= (x+1) (x^2-x+1)[/tex]

Now, the equation can be written as,

[tex]\rm = \dfrac{(x+1) (x^2-x+1) }{ x^2-x+1}\\\\= x+1[/tex]

Hence, The required remainder of the equation is [tex]\rm x+1[/tex].

For more details refer to the link given below.

https://brainly.com/question/25880057

Answer: a

Step-by-step explanation:

on edge

What is the percent of change if 18 is increased to
452

Answers

It’s 434


Mark as brainliest

What is the equation of the line that passes through the point ( 4 , 4 ) and has a slope of 0

Answers

Answer:

y=4

Step-by-step explanation:

x1=4,y1=4,m=0

Equation of a line: y-y1=m(x-x1)

y-4=0(x-4)

y-4=0

y=4

Find the quotient of 1/6 and 2/9

Answers

Answer:

3/4 or 0.75

Step-by-step explanation:

When dividing- quotient- fractions, remember keep, change, flip

Keep- keep the first fraction

Change- change the division sign into a multiplication sign

Flip- flip the second fraction

So your problem really is:

[tex]\frac{1}{6} *\frac{9}{2}[/tex]

Which is: 9/12 or 3/4

The answer is 3/4
You multiply by the reciprocal Then reduce the numbers then you multiply

5. A quarter is tossed in the air 300 times.
About how many times would you expect the quarter to land on heads?
A 50
E 200
B 110
C 150
D 180

Answers

Answer:

C

Step-by-step explanation:

The probability of getting heads or tails is 50%.

300*50% = 150

Answer:

C. 150 times

Step-by-step explanation:

Because a coin only has tails and heads, you can say that the probability would be half. Because it was tossed 300 times, you can say: 300*0.5=150

Luke cut down a tree that was 27.6 feet tall. Then he cut the tree into 6 equal pieces to take it away. What is the length of each piece?​

Answers

Answer:

4.6 feet (explanation of division)

Answer:

The length of each piece is 4.6 feet

Step-by-step explanation:

No links or wrong answers please

Answers

Answer:

(x+1)(x−2)(x+3)(x−4)

Apply the distributive property by multiplying each term of x+1 by each term of x−2.

(x  

2

−2x+x−2)(x+3)(x−4)

Combine −2x and x to get −x.

(x  

2

−x−2)(x+3)(x−4)

Apply the distributive property by multiplying each term of x  

2

−x−2 by each term of x+3.

(x  

3

+3x  

2

−x  

2

−3x−2x−6)(x−4)

Combine 3x  

2

 and −x  

2

 to get 2x  

2

.

(x  

3

+2x  

2

−3x−2x−6)(x−4)

Combine −3x and −2x to get −5x.

(x  

3

+2x  

2

−5x−6)(x−4)

Apply the distributive property by multiplying each term of x  

3

+2x  

2

−5x−6 by each term of x−4.

x  

4

−4x  

3

+2x  

3

−8x  

2

−5x  

2

+20x−6x+24

Combine −4x  

3

 and 2x  

3

 to get −2x  

3

.

x  

4

−2x  

3

−8x  

2

−5x  

2

+20x−6x+24

Combine −8x  

2

 and −5x  

2

 to get −13x  

2

.

x  

4

−2x  

3

−13x  

2

+20x−6x+24

Combine 20x and −6x to get 14x.

x  

4

−2x  

3

−13x  

2

+14x+24

Step-by-step explanation:

i really dont know

Suppose Viviana sent 100 text messages to her friend. She plans to send an additional 10
text to her friend per period. How many periods will it take Viviana to send 200 text
messages?

Answers

Answer:

20 More Periods

Step-by-step explanation:

Just Divide 200/10 and you get 20.

Last month, Korey’s Comics had $4,350 in net sales with a gross profit of $3,320 and a net income of $1,850. Calculate Korey’s net profit margin. A. 42. 5% b. 55. 7% c. 76. 3% d. 179. 5%.

Answers

Korey's net profit margin is 42.5%.

Net profit margin is the ratio of net income to net sales. It is a profitability ratio.  Profitability ratios measure the efficiency with which a company generates profit from its asset.

Net profit margin = net income / net sales

Net profit margin = $1850 / $4350 = 0.425 = 42.5%

A similar question was answered here: https://brainly.com/question/5990973

Answer:

A. 42.5%

edge⬇️

Tutorial
At a T-shirt stand on the boardwalk, 5 of the last 15 shirts sold were gray. Considering this
data, how many of the next 12 shirts sold would you expect to be gray?
shirts

Answers

4 shirts would be gray

carter construction has been asked to pave the parking lot of a local bank. how many square feet of pavement will they need to cover the whole parking lot?

Answers

Answer 2228 sq. ft.
I Hope This Helps

Identify the error and fix the mistake

Answers

Answer:

x = (9 ±√201) ÷ 12

Step-by-step explanation:

6x² -5x -9 = 0 ( rearranged)

a = 6  b = -5  c = -9

- - 9 = 9

-9² = 81 (the 81 must be positive, this is one error)

-4 x 6 x -5 = 120 ( the 5 must be a minus number, this is one error)

120 + 81 = 201

x = (9 ±√201) ÷ 12

What is the next term of the geometric sequence?
192, 48, 12,

Answers

Answer:

3

Step-by-step explanation:

The pattern is dividing 4 each time.

192/4=48

48/4=12

12/4=3

Hope this helps! Plz give brainliest!

Help me with this please!!!
Write the function for the graph!?!??

Answers

The y intercept is the y value when x is 0 which is shown on the graph as (0,4) making the y intercept is 4

The next point given is (1,8) which shows for every 1 increase in x (1-0 = 1) the y value increases by a multiple of 2 (4 x2 = 8)

The equation would be f(x) = 4 * (2)^x

The answer is B

Castel and Kali are selling wrapping paper for a school fundraiser. Customers can buy rolls of plain wrapping paper and rolls of holiday wrapping paper. Castel sold 2 rolls of plain wrapping paper and 5 rolls of holiday wrapping paper for a total of $89. Kali sold 9 rolls of plain wrapping paper and 10 rolls of holiday wrapping paper for a total of $213. What is the cost each of one roll of plain wrapping paper and one roll of holiday wrapping paper?

please help, am not good at word problems. I will also give the brainliest answer.​

Answers

Answer:

Plain is $7 and Holiday is $15

Step-by-step explanation:

Castel: 2p + 5h = 89

Kali: 9p + 10h = 213

Double Castel's: 4p + 10h = 178

Subtract fro Kali's   9p + 10h = 213

                              - 4p + 10h = 178

5p = 35

p = 7  Plain is $7

Substitute 7 into one of the equations and solve for h:

2(7) + 5h = 89

14 + 5h = 89

5h = 75

h = 15  Holiday is $15

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