Find the measure of an interior angle and exterior angle of a regular 24gon

Answers

Answer 1

Answer:

Interior Angle: 165°

Exterior Angle: 15°

Step-by-step explanation:

So first you have to find the sum of all interior angles of a polygon with 24 sides. This can be found using the formula:

sum = ( n - 2 ) * 180° where 'n' is the number of sides.

When 'n = 24' then the sum is:

sum = ( 24 - 2 ) * 180°

Simplify and solve.

sum = 22 * 180°

sum = 3960°

Since there are 24 sides to the polygon, there are 24 interior angles. Assuming that this polygon is equilateral, you can surmise that:

Interior Angle = sum° / n where n is the number of sides,

3960° / 24 = 165° = Interior Angle

Using that information, and combine it with the [Supplementary Angles Theorem] the exterior angle can be found by:

165° + x = 180°

Solve for x.

Related Questions

True or false: (x−6) is a factor of 4x3−18x2+3x−13.

Answers

Answer:

The answer is false

Help plis plis

18. Find the sum of (x + 3) and
(- x - 4).

Help plis

Answers

Answer:

-1...................

Step-by-step explanation:

x+3-x-4

o-1

-1

Answer :

-1

Explanation:

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Help do this if possible kk rlly stuck
X^2 – 11x + 18 = 0

Answers

Answer:

x = - 9, x = 2

Step-by-step explanation:

[tex] {x}^{2} - 11x + 18 = 0 \\ \\ {x}^{2} - 9x - 2x + 18 = 0 \\ \\ x(x +9 ) - 2(x + 9) = 0 \\ \\ (x + 9)(x - 2) = 0 \\ \\ x + 9 = 0 \: \: or \: \: x - 2 = 0 \\ \\ x = - 9 \: \: or \: \: x = 2 \\ [/tex]

Which set of ordered pairs is linear?
A. {(2, 1), (5, 1), (6, 1)}
B. {(-1, 4), (0, 0), (1, 6)}
C. {(-3, 5), (1, 0), (2, 4)}
D. {(0, 0), (1, 3), (2, 7)}

Answers

C I think I’m not 100% sure tho

A job pays $10.00 an hour today.If the same percentage applies to income as well as bread {previous slide}, how much would that job have paid 1955

Answers

Answer:

67 cents

Step-by-step explanation:

Answer:

67 cents

Step-by-step explanation:

im smart

I will give brainliest to whoever posts how to make a pizza or answer what 50 + 50 is

Answers

Answer:

100 :P when u read to fast n then put 2500 lol

Step-by-step explanation:

find the cube root of 0.000216

Answers

Answer:

0.06

Step-by-step explanation:

hope that helps :))

0.06 is the cube root of 0.000216. Hope this helps!

A house purchased for $152306 is worth $79797 after 12 years. Assuming that the house's value depreciated steadily from year to year, what was it worth at the end of year 6? Round the answer to the nearest cent.

Answers

The house’s value at the end of year 6 is $116,054

Which table shows a proportional relationship between x and y?

Answers

It’s the Last one bcuz you have to divide y by the X and the last one all equal to 0.5

Two less than the sum of a number and six is equal to the product of
the number and three. What is the number?

Answers

Let's use the variable, x, to represent the unknown number.

We can represent the words, "the sum of a number and six, as : x + 6

The words, " 2 less than the sum", can be represented as: x + 6 - 2

The words, "the product of the number and three", can be written as: 3x

Now create an equation using "is equal to" to join the expressions:

x + 6 -2 = 3x

Now combine like terms and use inverse operations to solve for x:

x + 6 -2 = 3x

x + 4 = 3x

x + 4 - x = 3x - x

4 = 2x

4/2 = 2x/2

2 = x

The unknown number is 2

31) Write the point-slope form of an equation of the line through the points (-4, 7) and (5, -3).
A. y−5=−109(x+3)
B. y−7=−109(x+4)
C. y+3=−109(x+5)
D. y+4=−109(x−7)

Answers

Answer:

y+4=–109(x–7)

please mark as brainliest

PLEASE HELP 17 points

Answers

Answer: I say B its a bit hard but i think i got it not sure but Good Luck!

Step-by-step explanation:

Answer:

6.25

Step-by-step explanation:

When dilating a shape, you need to take the side length and multiply it by the scale factor.

A quart (32-ounce) bottle of milk costs $1.19.

Answers

Answer: 1.19 dollars/quart x 1 quart/ 32 ounces = .037 = 3.7 cents per ounce

Step-by-step explanation:

when you set up the multiplication, since quarts are in the denominator initially and you want to get rid of them, set the quarts in the numerator of the unit rate (1 quart/ 32 ounces) so that the units cancel and you are left with the units that you wanted ($/ounce).

Solve: 3,125 = 5^-10 + 3x DONE

Answers

This is the answer......

y=20+6x
x=150-4x
Solve with equal values method

Answers

Step-by-step explanation:

Identify the method that will be used to solve for x for each equation.

4x=20 division property fo equality

x-11=9 addition property of eqaulity

5x+6x=22 Combining Like terms

5(x-2)=30 distibute property

HOPE THIS HELPS!!!!!!!!

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helppppppppp please

Answers

Step-by-step explanation:

12800000

or 567777000

$27500000

the sum of three and 4 times a number is 19, what is that number

Answers

Answer:

Step-by-step explanation:

Let the number be x.

3 + 4x = 19

4x = 19 - 3

= 16

x = 16 ÷ 4

x = 4

The number is 4.

Daniela buy records for 9$ each she buys 8 records how much money does Daniela spend

Answers

Answer:

FGCG

Step-by-step explanation:

Answer: 72 dollars

Step-by-step explanation:

each=1

1 record cost 9$

8 record costs (9)(8)$

I did multiplication here

(9)(8)=72 $

Graph the system of inequalities

Answers

Answer: To graph a linear inequality in two variables (say, x and y ), first get y alone on one side. Then consider the related equation obtained by changing the inequality sign to an equality sign. The graph of this equation is a line. If the inequality is strict ( < or > ), graph a dashed line.

y = |cosx|
any body can answer my question

Answers

They answered this correctly

Please help with this worksheet

real numbers

Answers

I DO NOT KNOW JUST GIVE ME A SECOND.

please help me for this question:

Answers

Answer: quick mix is better

13.50+6.90(4)= 41.1

7.20+7.20(4)+5.90=41.9

Help plz:)))I’ll mark u Brainliest

Answers

Answer:

The answer to the question provided is

[tex] \frac{9}{5} [/tex]

Casandra earned 520$ this month by walking her neighbors dog . This is a 30% increase from amount she earned last month

Answers

Answer: last week she earned $364.

Step-by-step explanation:

whats -4 1/5 times 1/3 ?

Answers

Answer: -7/5

Step-by-step explanation:

-4(1/5)⋅(1/3)

Convert -4(1/5) to an improper fraction.

A mixed number is an addition of its whole and fractional parts.

− (4 +1/5) ⋅(1/3)

Add 4 and 1/5

-21/5 ⋅ 1/3

Cancel the common factor of 3.

Move the leading negative in − 21 /5 into the numerator.

−21/5 ⋅ 1/3

Factor 3 out of −21.

3 (−7)/5 ⋅ 3 /1

Cancel the common factor.

Rewrite the expression.

−7 /5

Answer:

- 1 2/5

Step-by-step explanation:

make -4 1/5 and improper fraction which would be -21/5x1/3 then u multiply across and ur answer is -21/15. Then you havw to change it to a mixed number and you would get 1 6/15. This number can be simplified by 3 so it would be - 1 2/5

If -2x +7 = 3x - 8, then x =

Answers

-2x +7 = 3x - 8

Move the variable to the left-hand side and change its sign

-2x -3x+ 7 = -8

Move the constant to the right-hand side and change its sign

-2x -3x = -8 -7

Collect like terms

-5x = -15

Divide both sides of the equation by -5

x=3

Find the length of side x in simplest radical form with a rational denominator.
60
X
30
6

Answers

Answer:

We want x We have a 30-60-90 triangle So we get [tex]2 \sqrt{3} [/tex]

The value of 'x' will be;

⇒ x = 2√3

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

The triangle is shown in figure.

Now,

We know that;

⇒ tan θ = Perpendicular / Base

Here, Perpendicular distance = x

And, Base = 6

Substitute all the values, we get;

⇒ tan θ = Perpendicular / Base

⇒ tan 30° = x/6

⇒ 1/√3 = x/6

⇒ x = 6/√3

⇒ x = 2√3

Thus, The value of 'x' will be;

⇒ x = 2√3

Learn more about the triangle visit:

https://brainly.com/question/17335144

#SPJ2

Write the equation in slope-intercept form. y=7(x+2)+3x
A. y=10x+14
B. y=−10x+14
C. y=9x+15
D. y=−9x+15

Answers

Answer: y = 10x+14 (choice A)

===================================

Work Shown:

y = 7(x+2)+3x

y = 7x+7*2+3x ..... distribute

y = 7x+14+3x

y = (7x+3x)+14

y = 10x+14

This is in y = mx+b form with m = 10 as the slope and b = 14 as the y intercept.

Answer: The answer is A (y=10x+14)

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Stephanie swims 4/5 of a mile in 5/6 of an hour.

Enter the number of miles Stephanie swims in 1 hour.

Answers

Hi.. U should do like this

4/5 mile in 50 min

X mile in 60 min

X=5/4 mile

Answer:

5 milesss

:)))

PLEASE HELP!!!!!! I will give points

Answers

Answer:

Of the basketball players on the team, exactly 75% of the players have heights above 180

Step-by-step explanation:

So, they are 12 basketball players in total

1 - 170 - This is 1/12

2 - 175 - This is 1/6

1 - 180 - This is 1/12

4- 185 - This is 1/3

3 - 190 - This is 1/4

1 - 195 - This is 1/12

75% (Or 3/4) have heights above 180

Therefore, the answer is B

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Both Hamadi and Susans father are characters in Hamadi. Which statement most accurately contrasts the two men? Finding and eliminating the prepositional phrase in a sentence can help you identify the subject and the simple predicate verb in a sentence true or false C. _____________________ store food or pigments. choose only one that the same vowel sound as joust. A. Though B. Dough C. Cover D. Cow . How has Balis culture affected its environment?1 The Balinese people have altered the hillsides by cutting terraces to grow rice.2 The Balinese start the rice plants in greenhouses because the environment is too cold for too long.3 Because the climate is naturally too hot for rice, the Balinese grow it on the hillsides instead of in the valley.4 The Balinese climate is good for growing rice, but there is not enough flat land to flood the rice. Pete has three dollars less than what Linda has. if together has 81 dollars how much does a person have? I NEED HELPP I CAN MAKE YOU THE BRAINLIEST Choose the answer that best completes each sentence. Remember that an adjective must match a noun in number (singular/plural) and gender (masculine/feminine). A verb must match the subject (singular/plural... correct form) Example: Los estudiantes son simpticos. (Everything is plural and masculine to match 'los' estudiantes)Marco y Ana tienen una profesora. _________ profesora es inteligente. (possessive adjective)Your answer:susustumi which one is correct In his Stanford University Commencement Speech, Steve Jobs said, "Don't let the noise of others' opinions drown out your own inner voice. ...Have the courage to follow your heart and intuition." Do you personally agree or disagree with this statement? Why? How do you think Jobs exemplified this in his daily life? You may choose to review the excerpt from Steve Jobs: The Many Who Thought Different in order to find supporting details. Your response should be about 150 words. i need help please i would do anything 11/12 answer 2 questions correctly for brainiest father's of Nigeria contemporary artist and their histories 1) An i staircase has a 10 inch vertical rise per step to get to the second floor of the house. If the angle of elevation is 30.20 degrees and there are 12 feet of horizontal space total for each of the landings combined, answer the following questions showing each step of your work:a) What is the landing space per step (in inches, rounded to the nearest inch)?b) Find the vertical rise from the 1st floor to the 2nd floor (in feet, rounded to the nearest foot). A and b are both questions regaurding the stairs. Answer both, and show your work to recieve brainliest. How would German military naval officers explain for sinking passenger ships like theLusitania, the Arabic, or the Sussex? & what was their cause for action against these ships? please answer! can someone help me on this?! The 2th term of The A.P is 7 and 9th term is 28, Find The comon difference and The first term.help me please Which two rivers are at the bottom of theHimalayan mountains?A. the Ganges and the IndusB. the Ganges and the BrahmaputraC. the Ganges and the Chenab 4x^2 - 12x - 3what would the answer be if x = 7 Given r(x) = x2 - 4x2 + 4x 6, find the valueof r(2). What does your answer tell you about x-2 as afactor of r(x)? Explain. Please help!!!Composition of functions~ 2x+3y=3y=8-3xThe value of y is substituted back into the first equation what is the resulting equation?what is the value of x?what is the value of y?