The sum of outer angles of a polygon is twice the sum of inner angles. How many sides does it have?

Answers

Answer 1
6The sum of the interior angles of a polygon is twice the sum of its exterior angles. Therefore, by solving we get n=6 sidesHOPE IT HELPS THANK YOU
Answer 2

Answer:

3 sides

Step-by-step explanation:

sum of exterior angles for all polygons is 360°

sum of interior angles for a polygon can be found by using the formula:

(n - 2) · 180°  where 'n' is the number of sides

'sum of outer angles' = 360

'twice the sum of inner angles' = 2n

360 = 2n

n = 180

a three-sided polygon (triangle) has 180 degrees


Related Questions

Tammy and Jay go out to dinner. Their total bill, including tax, comes out to $46.14. Once they add tip, they end up spending $53.98. What percent tip did they give? (Round to the nearest percent).

Answers

Tammy and Jay gave a 17% tip.

dan pays £714.73 a year on his car insurance
the insurance company reduces the price by 4.1%
how much does the insurance cost now?
give your answer rounded to 2DP

Answers

Answer:

The Current Insurance cost = $685.43

Step-by-step explanation:

Given that Dan pays £714.73 a year on his car insurance.

Reduced Percentage = 4.1%

so

Reduced Amount =  4.1% × 714.73

                             = [4.1 / 100] × [714.73]

                             = 0.041 × 714.73

                             = $29.30

The current cost can be calculated by subtracting the reduced amount of 29.30 from 714.73.

so

Current Insurance cost = 714.73 - 29.30

                                       = $685.43

Therefore, the Current Insurance cost = $685.43

What is the area of the shaded region?

24 sq cm

30 sq cm

20 sq cm

4 sq cm

Answers

Answer:

24 sq cm

Step-by-step explanation:

20 sq cm + 4 sq cm = 24 sq cm

24

small square is 2x2= 4
big square is 4x5= 20
add them together 20 + 4 = 24

Write an equation to represent the problem, be sure to explain the meaning of any variables you use, Jaden dog was 5 and a half inches tall when it was a puppy, now her dog is 14 and a half inches taller than that, how tall is the dog now​

Answers

Answer:

The dog is 20 inches tall now.

Step-by-step explanation:

Given that:

Height of dog when it was a puppy = [tex]5\frac{1}{2}[/tex] inches

Height of dos now = [tex]14\frac{1}{2}[/tex] than previous height

It means that we will add this height in the height of dog when it was a puppy.

Height of dog now = [tex]5\frac{1}{2}+14\frac{1}{2}[/tex]

Height of dog = [tex]\frac{11}{2}+\frac{29}{2}=\frac{11+29}{2}=\frac{40}{2}[/tex]

Height of dog = 20 inches

Hence,

The dog is 20 inches tall now.

Solve the following:
a)
5x - 1 = 3x + 9
b)
2x + 4 = 6x - 16

Answers

Answer:

a = 5

b = 5

Step-by-step explanation:

Solve |x+2| >5-(x-1)^2 by graphing

Answers

Answer:

x

<

1

or

x

>

2

Step-by-step explanation:

Solve the following equation. show work. x^2 + 10x = -25

Answers

Step-by-step explanation:

x^2 + 10x = -25

x^2 + 10x + 25 = 0

(x+5)^2=0

x=-5

The graph of a system of equations with the same slope and the same y-intercepts will have no solutions. (1 point)

Always
Sometimes
Never

Answers

Answer:

Never

Step-by-step explanation:

If the slope is the same and the y-intercept is the same

They are the same line

2x + 5 = y is the same as 2x +5 = y

Answer:

Never

If the slope is the same and the y-intercept is the same

100 POINTS!
please help me out

which describes all possible values of f(x) in the function f(x) = square root x/2

Answers

All positive real numbers and 0

What is the value of x when g(h(x)) = 4?

Answers

Answer:4

Step-by-step explanation:

I Took the test

The value of the x in g(h(x)) = 4 is 4 if the g⁻¹(4) = 2 and at x = 4 h(x) = 2 option (C) is correct.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have functions g(x) and h(x) shown in the figure.

g(h(x)) = 4

Taking the inverse of a function:

h(x) = g⁻¹(4)

From the set of functions g(x)

(2, 4) belongs to g(x)

(4, 2) belongs to g⁻¹(x)

g⁻¹(4) = 2

h(x) = 2

x = 4  (from the function h(x) data set)

Thus, the value of the x in g(h(x)) = 4 is 4 if the g⁻¹(4) = 2 and at x = 4 h(x) = 2 option (C) is correct.

Learn more about the function here:

brainly.com/question/5245372

#SPJ2

One hundred people in your neighborhood always drive to work between 7:30 and 8:00 A.M. and arrive 30 minutes later. Why must two people always arrive at work at the same time, within a minute

Answers

Answer: Pigeonhole Principle

Step-by-step explanation:

The Pigeonhole Principle espouses that if there are more objects than the places the objects are supposed to fit into, some of those places will have more than one object. For instance, if there are 20 pigeons and only 19 pigeonholes, one pigeonhole will have more than one pigeon.

If one hundred people in your neighbourhood leave between 7:30 and 8:00 A.M. and arrive 30 minutes later that means they will arrive between 8:00 and 8:30 A.M. This means that 100 people will have to arrive in 30 minutes.

We would have to fit 100 people in 30 minutes. The minutes are the pigeonholes and the people are the pigeons. There will therefore be a situation where at least 2 people will arrive at the same minute because there are many more people than minutes for them to arrive in.

It didn't let me put the whole picture, so here are the words/word it cut out.
Parallel (first word at the top before lines)

Prove (before <1)

Parallel lines m and n are cut by the transversal line t.

Prove <1 and <4 are supplementary. Move options to the boxes to complete the proof.

Answers

Answer:

The options to complete the proof are placed in the boxes of the attached drawing created with Microsoft Word

Step-by-step explanation:

Please see attached drawing of the proof created with Microsoft Word

The two column proof can be  presented as follows;

Statement     [tex]{}[/tex]                                    Reason

 [tex]\underset{m}{\leftrightarrow } \parallel \underset{n}{\leftrightarrow }[/tex]        [tex]{}[/tex]                                        Given

m∠3 + m∠4 = 180°   [tex]{}[/tex]                         Linear pair postulate

∠1 ≅ ∠3     [tex]{}[/tex]                                        Corresponding Angle Theorem

m∠1 + m∠4 = 180°   [tex]{}[/tex]                          Transitive Property      

m∠1 and m∠4 are supplementary  [tex]{}[/tex] Definition of supplementary angles

Simplify this expression.
8.9 - 1.4x + (-6.5x) + 3.4
х

Answers

Answer:

8.9-1.4x + (-6.5x) + 3.4x

8.9-1.4x - 6.5x +3.4x

      -1.4x - 6.5x  = -7.9x

         -7.9x+ 3.4x=-4.5x

Answer 8.9 -4.5x

Step-by-step explanation: Hope This Helps !!!

First you are going to remove the parentheses then COMBINE LIKE TERMS

Lastly you just put your equation together .

What is the solution to the system of equations below? {2y=x+63x=y+7 (5, 4) (20, 13) (13, 20) (4, 5)

Answers

Answer:

(4,5)

Step-by-step explanation:

Let's solve your system by substitution.

2y=x+6;3x=y+7

Step: Solve2y=x+6for x:

2y=x+6

2y+−x=x+6+−x(Add -x to both sides)

−x+2y=6

−x+2y+−2y=6+−2y(Add -2y to both sides)

−x=−2y+6

−x

−1

=

−2y+6

−1

(Divide both sides by -1)

x=2y−6

Step: Substitute2y−6forxin3x=y+7:

3x=y+7

3(2y−6)=y+7

6y−18=y+7(Simplify both sides of the equation)

6y−18+−y=y+7+−y(Add -y to both sides)

5y−18=7

5y−18+18=7+18(Add 18 to both sides)

5y=25

5y

5

=

25

5

(Divide both sides by 5)

y=5

Step: Substitute 5 for y in x=2y−6:

x=2y−6

x=(2)(5)−6

x=4(Simplify both sides of the equation)

Find the diagonal distance between 2,-1 -3,2 the two points given be sure to round to the nearest tenth

Answers

Answer:

[tex]d=15[/tex]

Step-by-step explanation:

From the question we are told that

Two points

[tex]x=(2,-1)\\y=(-3,2)[/tex]

Generally distance formula is mathematically given by

[tex]d=\sqrt{(x1-x2)^2(y2-y1)^2}[/tex]

[tex]d=\sqrt{(2-(-3))^2((-1)-(2))^2}[/tex]

[tex]d=15[/tex]

Plz help me
It's the same as the last question

Answers

Answer:

4x+4x+7x=180

15x=180

x=12

Step-by-step explanation:

Answer:

From the lines we know that that two sides are the same so the other angle is also 4x

the total of a triangle equals 180 so

4x+4x+7x=180

15x=180

x=12

Hope This Helps!!!

please help i need this done by tonight at midnight

Answers

Answer:

no se no mergas yo mejor te aconsejo que quemes tu libreta te encierres en tu cuarto para que tu mamá no te de un chanclaso

Express (x + 10)^2 as a trinomial in standard form.

Answers

Answer:

x2-20x+100

Step-by-step explanation:

You have to factor the expression in order to get your answer

Do this by expanding out the expression: (x-10)(x-10) Then factor by multiplying each of the components! Use the FOIL acronym to help you. FOIL stands for First, Outer, Inner, Last. Meaning multiply the first numbers of the expressions together, then the outers, then the inner two numbers, then the last two numbers of the expression.

Multiply x and x to get  , multiply x and -10 to get -10x, multiply -10 and x to get -10x, multiply -10 and -10 to get 100. Add them all together:  . Then combine like terms

The required trinomial in standard form is x²+20x+100.

Trinomial:

Important information:

The expression is the [tex](x+10)^2[/tex].

Using the formula [tex](a+b)^2=a^2+2ab+b^2[/tex], we get

[tex](x+10)^2=(x)^2+2(x)(10)+(10)^2[/tex]

[tex](x+10)^2=x^2+20x+100[/tex]

Therefore, the required trinomial in standard form is x²+20x+100.

Find out more about 'Trinomial' here:

https://brainly.com/question/860565

33 + 8
5
1 - 2:
2
Solve for x

Answers

Answer:

its 882

Step-by-step explanation:

12.5 x 13 estimate i dont know how to do it XD I need help

Answers

Answer:

162.5

Step-by-step explanation:

Hope this helps Please brainiest

Answer:

Ok the answer is 162.5 but if you wanna learn how to do it, look at the explanation! :D

Step-by-step explanation:

To make it easy, you can split the 12.5 into 10 and 2.5, now that you have done that, multiplication is made easy! Multiply the 10 by 13 which gets you 130. Then, multiply the 2.5 by 13 to get 32.5, now add 130 and 32.5 together to get your answer, which in this case is 162.5! Hope this helped and I hope you have a magnificent day! :D

Subtract 7 from the product 3 times f

Answers

Answer:

3*f-7

Step-by-step explanation:

OK; "subtract from" means to do the "from" first and then subtract the number off of the "from." In this case, the "from" is 3*f. Then, subtrat seven. That gives you 3*f-7. No need for parenthesis because of PEMDAS.

Tell whether the rates are equivalent. 0.4 kilometer for every 15 minutes 0.6 kilometer for every 20 minutes

Answers

Answer:

no they are not equivalent

Step-by-step explanation:

0.4/15 = 0.026

so for every minute they travel 0.026km

0.6/20 = 0.03

so for every minute they travel 0.03km

so they are not the same/equivalent

What is the area and perimeter of a rectangle with a width of 7 meters and a length of twice that amount?

Answers

Answer:

7x14=98

Step-by-step explanation:

formula for rectangule area= b.x so 7x(7x2)= 7x14=98

Which graph shows all real numbers closer to 0 than they are to 4?

Answers

It has to be A because it’s the real numbers closer 0 then they are at 4

Answer:a

Step-by-step explanation:

Find the degree of the term -5x to the power of 4

Answers

Answer:

4 or -625x^4 (Just in case I misunderstood)

Step-by-step explanation:

The degree is always the power of something. Since -5x has a power of 4, its degree is 4.

Just in case I misunderstood the question, I will solve it another way that I think you meant. (-5x)^4 is -5^4 times x^4.

-625 times x^4 is -625x^4.

How do you graph it out

Answers

Start at 0 then go up 1 place the dot the go up 3 and over 2 then put the 2nd dot
go right once, it’s gonna be at positive 1 then go up 3 boxes and then go right 2 boxes do that until the graph is done, then do it the other way, go down 3 boxes and left 2 boxes to get the bottom half

Is the following equation linear or nonlinear??

Answers

It is nonlinear because it has exponents. Your welcome

x + 4y = 13

What is the value of x?

Answers

Answer:

13-4y

Step-by-step explanation:

Without a second equation it is impossible to give a numerical value for x, but x can be expressed in terms of y.

This equation is called a "literal equation" since there are more than one variable, but only one equation (it is not a system of equations).

Therefore, solve for x by subtracting 4y from both sides:

x+4y=13

-4y      -4y

x=13-4y

Answer:

Hi! The correct answer is x=13-4y!

Step-by-step explanation:

~Subtract 4y from both sides of the equation~

A cubic foot holds about 7.5 gallons of water. A ceramic container the shape of a square pyramid has a height of 8 feet. The edges of its base measure 2.7 feet. How many gallons of water will this container hold?

Answers

Answer:

b

Step-by-step explanation:

Answer: b

Step-by-step explanation: fdfdfd

За + 2b – 8а + Ь
Please help

Answers

Combine the like terms
3b-5a
Or -5a+3b if keeping in a certain order

Answer:

-5a+3b

Step-by-step explanation:

-5a+3b Combine like terms

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