If an exterior Angele of a regular polygon is an integer, what are the possible values of the angle?​

Answers

Answer 1

Answer:

Please read the explanied answer below.

Step-by-step explanation:

As we know that polygon is a shape that consists of at least three sides.The sum of exterior angles of any polygon = [tex]360^{\circ }[/tex]

We also know that a regular polygon has all the angles equal and all sides have the same length.

As we know:

Exterior angle = 360° ÷ No. of sides

When the number of sides changes, the angle also changes. Therefore, we would get different integers as answer.

For example:

In terms of a triangle:

Exterior angle = 360° ÷ No. of sides

                        = 360° ÷ 3 = 120°

In terms of a rectangle:

Exterior angle = 360° ÷ No. of sides

                        = 360° ÷ 4 = 90°

and in the same way

360° ÷ 5 = 72 °

360° ÷ 6 = 60 °

360° ÷ 8 = 45 °

360° ÷ 9 = 40°

and so on.

I hope it may have solved your query.


Related Questions

what is the answer to this?​

Answers

Answer:

Step-by-step explanation:

The other root is 5 + 7i

When the smoke cleared, the ratio of believers to skeptics was 15 to 7.If they were 105 believers, how many skeptics were there? PLEASE ANSWER QUICK

Answers

Answer:

[tex]\large\boxed{49}[/tex]

Step-by-step explanation:

Belivers to skeptics = 15 : 7

From the above ratio, we know that:

Believers = 15

Skeptics = 7

There were 105 believers, then we can rewrite the original ratio to be equal to the new one, to solve for x.

15 : 7 = 105 : x

Ratios can be written as fractions. Rewrite to simplify.

[tex]\frac{15}{7}[/tex] = [tex]\frac{105}{x}[/tex]

Cross multiply (numerator * denominator = numerator * denominator)

7 * 105 = 15 *x

735 = 15x

Divide both sides of the equation by 15

x = 49

There were 49 skeptics.

Hope this helps! Let me know if you have any questions!

In exercise 14 and 15, the value of the surface area of the cylinder is equal to the value of the volume of the cylinder. Find the value of x. then find the surface area and volume of the cylinder. 14)With the height of x and base of 6ft 15) with the height x and base of 10 m

Answers

Answer and explanation:

Volume of a cylinder = π r² h

Surface area of a cylinder = 2π r h + 2π r².

Since volume of cylinder = surface area of cylinder

π r² h=2π r h + 2π r²

Solving 14)

Given height x and base 6ft, radius will be 3ft

π r² h=2π r h + 2π r²

22/7*3²*x= 2*22/7*3*x+2*22/7*3²

=22/7*9*x= 2*22/7*3*x+2*22/7*9

= 28.286x=18.857x+2*28.286

=28.286x=18.857x+56.572

=9.429x=56.572

x=5.999ft( x cannot be a negative value)

15) Given height x and base 10 m, radius will be 5m

π r² h=2π r h + 2π r²

22/7*5²*x= 2*22/7*5*x+2*22/7*5²

78.5714x= 31.429x+157.1428

47.1424x=157.1428

x=3.333m( because x cannot be negative)

The height of a trapazoid can be expressed as (x-4) while the bases can be expressed as (x+4) and (x-9). If the area of the trapazoid is 99 cm squared, what is the length of the larger base

Answers

9514 1404 393

Answer:

  ≈ 17.228101 cm

Step-by-step explanation:

The area of a trapezoid is given by the formula ...

  A = (1/2)(b1 +b2)h

Filling in the given information, we have ...

  99 = (1/2)((x+4) +(x-9))(x -4) = (1/2)(2x -5)(x -4)

  198 = 2x^2 -13x +20

  2(x -3.25)^2 = 199.125

  x = 3.25 +√99.5625 ≈ 13.228101

Then the length of the larger base is ...

  x+4 = 17.228101 . . . cm

Ryan is a salesperson who sells computers at an electronics store. He makes a base pay amount each day and then is paid a commission for every computer sale he makes. The equation P=17.50x+65P=17.50x+65 represents Ryan's total pay on a day on which he sells xx computers. What is the yy-intercept of the equation and what is its interpretation in the context of the problem

Answers

The y intercept is what is added at the end.

The y intercept is 64

This is his base pay amount, the amount he gets paid even if he doesn’t sell anything.

Answer:

Step-by-step explanation:

The United States Declaration of Independence, officially The unanimous Declaration of the thirteen united States of America, is the pronouncement and founding document adopted by the Second Continental Congress meeting at Pennsylvania State House, which was later renamed Independence Hall, in Philadelphia, Pennsylvania, on July 4, 1776. Enacted during the American Revolution, the Declaration explains why the Thirteen Colonies at war with the Kingdom of Great Britain regarded themselves as thirteen independent sovereign states and no longer subject to British colonial rule. With the Declaration, the 13 states took a collective first step in forming the United States and, de facto, formalized the American Revolutionary War, which had been ongoing since April 1775.

The Declaration of Independence was signed by 56 of America's Founding Fathers who Second Continental Congress delegates from New Hampshire, Massachusetts Bay, Rhode Island and Providence Plantations, Connecticut, New York, New Jersey, Pennsylvania, Maryland, Delaware, Virginia, North Carolina, South Carolina, and Georgia. The Declaration became one of the most circulated and widely reprinted documents in early American history.

The Committee of Five drafted the Declaration to be ready when Congress voted on independence. John Adams, a leading proponent of independence, persuaded the Committee of Five to charge Thomas Jefferson with authoring the document's original draft, which the Second Continental Congress then edited. The Declaration was a formal explanation of why the Continental Congress had voted to declare its independence from Great Britain, a year after the American Revolutionary War broke out. The Lee Resolution for independence was passed unanimously by the Congress on July 2.

After ratifying the text on July 4, Congress issued the Declaration of Independence in several forms. It was initially published as the printed Dunlap broadside that was widely distributed and read to the public. Jefferson's original draft is currently preserved at the Library of Congress in Washington, D.C., complete with changes made by Adams and Benjamin Franklin, and Jefferson's notes of changes made by Congress. The best-known version of the Declaration is the signed copy now displayed at the National Archives in Washington, D.C., which is popularly regarded as the official document. This engrossed copy was ordered by Congress on July 19 and signed primarily on August 2, 1776.[2][3]

The sources and interpretation of the Declaration have been the subject of much scholarly inquiry. The Declaration justified the independence of the United States by listing 27 colonial grievances against King George III and by asserting certain natural a

3(51 + 7) – 614 – 21)

Answers

Answer:

-461

Step-by-step explanation:

Hope this helped!!!! this really is the correct answer. if you need anything else math related feel free to hmu anytime.

Answer:

3(51+7 ) - 614-21)

= 51+7 58

=614 -21 =

si a= 2 m y b= 3m,¿Cual es el valor numerico del area en metros cuadrados?

Answers

..........السلام عليكم


plssss help i hate math :p

Answers

Answer:

ratio is 7 to 2

Step-by-step explanation:

ratio of AB : JK is 49 : 14 divide both sides by 7 and you get 7 :2

Can someone help me with this please :)

Answers

Answer:

:)

Step-by-step explanation:

I have no idea in the slightest

Answer:

1. > 2. = 3.<

Step-by-step explanation:

1. Well first I had to reduce 8/10. I found out that it is, when reduced, is 4/5. 4/5 is bigger than 3/8.

2. 10/10 and 8/8 are both equal to 1. So they are both equal.

3. none of those fractions had to reduced. Now 5/8 is bigger than 3/16.


Use the following coordinate plane to write the ordered for each point
A (,)
B (,)
C (,)

Answers

a : (-5,-3)
b : (0,2)
c : (4,1)

uji apples cost $3.00 per pound, and Golden Delicious apples cost $2.00 per pound. A childcare center purchases 30 pounds of a combination of the two types of apples for a total of $80.

A table titled Apples showing Pounds, Cost per Pound and Total. The first row shows Fuji and has 30 minus g, 3, and x. The second row shows Golden Delicious, and has g, 2, and blank. The third row shows Total, and has 30, blank, 80.

Which value could replace x in the table?
30 – g + g
3(30 – g)
30 – g(3)
30 – g + 3

Answers

Answer:

3(30-g)

Step-by-step explanation:

Answer:

second one B. 3(30-g)

Step-by-step explanation:

Which of the following equations is parallel to the given line? 2x – 3y = 4

y=-2/3x+4/3

y=-2x+3

y=2/3x+5

y=3x-2

Answers

Answer:

y=2/3x+5

Step-by-step explanation:

Answer: y=2/3x+5
Explanation:

Rita bought cupcakes for her sister's birthday party. 20% of the 5 cupcakes had sprinkles on top. How many cupcakes had sprinkles?

Answers

Answer: 1

Step-by-step explanation:

20% of 5 = 1

Answer: 1


Explanation: 20% x 5= 1

What is a conditional statement? (geometry, in your own words! pls no google)

Answers

Answer: Hypotheses followed by a conclusion is called an If-then statement or a conditional statement.

Step-by-step explanation: Yes I used google, but reworded it.

Answer:

A conditional statement is a math statement that uses the "if" and "then" that join two things together.

Step-by-step explanation:

Example:

if p... then q...

hope this helps!

have a good day :-)

the graph shows function j, a transformation of
[tex]f(x) = {x}^{ \frac{1}{2} } [/tex]
replace b and h to create the equation for function j
[tex]j(x) = (bx + h) {}^{ \frac{1}{2} } [/tex]

Answers

Answer:

J(x)=(-1x+4)^1/2

Step-by-step explanation:

The value of b and h are -1 and 4 after applying the transformation to the parent function.

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:

The graph shows function j, a transformation of f(x)

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

First plot the above function on the graph paper of the coordinate plane.

From the graph,

The domain of the function f(x) is all real numbers

The range of the function f(x) is all real numbers.

As we can see in the graph of function j(x)

To find the equation for the function j(x):

Applying transformation to the function f(x)

x → (x + 4)

The function will shift 4 units right

[tex]\rm F(x) =(x+4)^{\dfrac{1}{2} }[/tex]

Applying the second transformation:

x → -x

[tex]\rm J(x)=(-x+4)^{\dfrac{1}{2}}[/tex]

The function will reflect at the line x = 2

Thus, the value of b and h are -1 and 4 after applying the transformation to the parent function.

Learn more about the function here:

brainly.com/question/5245372

#SPJ5

James has 30 candies. How many kids (including James) can share these candies evenly? It has to be multiple things, I think.

Answers

Answer:

So if James has 30 candy it would be best to do it in multiple ways in my opinion, so basically you can divide it among 3 kids including James where the kids get 10 each or you can divide it among 6 kids (still including James) and they all get 5 pieces of candy! Hope this helps and stay safe :)

Step-by-step explanation:

Possible Answers:

14 kids and james- 2 candies each

9 kids and james- 3 candies each

1 kid and james -  15 candies each

4 kids and james - 6 candies each

2 kids and james - 10 candies each

There might be more, but those are the ones at the top of my head

I hope this helped, please mark Brainliest, thank you!! :)

Can you help me please

Answers

Answer:

What is the question On this assignment?

6 Rearrange the linear equation so that it is in slope interceptform. Identify the slope (m) and the intercept (b). You must show your work for full credit
X-4=2(y - 3)

Answers

Answer:

[tex]y=\frac{1}{2}x+1[/tex] is in the slope-intercept form.

so the slope will be:

[tex]m=\frac{1}{2}x[/tex]  

and y-intercept will be:

b = 1

Step-by-step explanation:

Given the equation

[tex]x-4=2(y - 3)[/tex]

As we know that [tex]y = mx+b[/tex] is the slope-intercept form of a line where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept.

Converting to slope-intercept form

[tex]x-4=2(y - 3)[/tex]

switching sides

[tex]2\left(y-3\right)=x-4[/tex]

[tex]2y-6=x-4[/tex]

[tex]2y=x-4+6[/tex]

[tex]2y=x+2[/tex]

[tex]y=\frac{1}{2}x+1[/tex]

As  [tex]y = mx+b[/tex] is the slope-intercept form of a line where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept.

Therefore, [tex]y=\frac{1}{2}x+1[/tex] is in the slope-intercept form.

so the slope will be:

[tex]m=\frac{1}{2}x[/tex]  

and y-intercept will be:

b = 1

Is y=4x+3 and 4x+y=3 parallel or perpendicular or neither?

Answers

Neither of the equations are parallel or perpendicular

Two sales representatives leave from the same office. One travels 20 miles due north and the other travels 5 miles due west. How far apart are the sales representatives? Estimate the distance to the nearest tenth. 22.6 mi 16.4 mi 20.6 mi 11.8 mi

Answers

Answer:

d = 20.6 miles

Step-by-step explanation:

Given that,

Two sales representatives leave from the same office. One travels 20 miles due north and the other travels 5 miles due west.

It is required to find the distance between two representatives. It it is d. It can be calculated as the resultant if two values as follows :

[tex]d=\sqrt{20^2+5^2} \\\\=20.61\ mi[/tex]

So, the sales representative are 20.6 miles apart. Hence, the correct option is (c).

A chess club has 480 members but is losing 30 members each year. A computer club has 130 members and is gaining 20 members per year. When will the two clubs have the same number of members?

Answers

Answer:

The two clubs will have the same number of members after 7 years

Step-by-step explanation:

Let the number of years is x

∵ A chess club has 480 members but is losing 30 members each year

∵ The number of years = x

∴ The total members after x years = 480 - 30x ⇒ (1)

∵ A computer club has 130 members and is gaining 20 members per year

∵ The number of years = x

∴ The total members after x years = 130 + 20x ⇒ (2)

∵ The two clubs will have the same number of members after x years

→ Equate (1) and (2)

480 - 30x = 130 + 20x

→ Add 30x t both sides

∵ 480 - 30x + 30x = 130 + 20x + 30x

∴ 480 = 130 + 50x

→ Subtract 130 from both sides

∵ 480 - 130 = 130 - 130 + 50x

∴ 350 = 50x

→ Divide both sides by 50

7 = x

The two clubs will have the same number of members after 7 years

⚠️⚠️PLEASE ANSWER ASAP⚠️⚠️
USE SURDS!!!
WILL GIVE BRAINLIEST/THANKS

Answers

Answer:

5+3√3

Step-by-step explanation:

hope this helps:)

Solve for x
3x - 8= 7x +4

Answers

Answer:

x=-3

Step-by-step explanation:

Write an equation in slope intercept form for the graph below

Answers

Answer:

[tex] y = 10x [/tex]

Step-by-step explanation:

Finding the slope (m) of the line the following points in the line, (0, 0) and (2, 20):

[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{20 - 0}{2 - 0} = \frac{20}{2} = 10 [/tex]

y-intercept (b) is 0. The line intercepts the y-axis at 0. Thus, b = 0.

Substitute m = 10 and b = 0 in [tex] y = mx + b [/tex]

The equation in slope-intercept form for the graph would be:

✅[tex] y = 1x + 0 [/tex]

[tex] y = 10x [/tex]

If f(x) = x2 – 2x and g(x) = 6x + 4, for which value of x does (f + g)(x) = 0? –4 –2 2 4

Answers

Answer:

-2

Step-by-step explanation:

f(x) + g(x) = x^2 - 2x +6x +4 = x^2 + 4x + 4

(f+g)(x)=0

x^2 + 4x + 4 = 0

x= -2

Find the measures of the angles of the AABC ifm ZA: m2B:m2C=2:3:4.

Answers

Answer:

AABC=76.9067 m2C=2:3:4.=234.76

identify an equation in slope-intercept form for the line parallel to y=1/2x-7 that passes through (-3,-2)

Answers

Answer:D

Step-by-step explanation:

define domian and range

Answers

Domain is all the values that go into a function, and the range is all the values that come out.

-5/5 x 18/25 pls tell me

Answers

Answer:

-.72

Step-by-step explanation:

(-5/5)*(18/25)

(-1)*(18/25)

(-1)*(.72)

-.72

What is 20ft x 5ft x 2ft but squared. When I say Squared I mean like theres a lil number at the top of the ft abbreviation. ³ - like that.

Answers

Answer:

it should be 40,000

Step-by-step explanation:

if you just multiply 20,5, and 2 together and multiply that answer by itself

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