Mathematics College

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

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

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

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.

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

Help plz:)))I’ll mark u Brainliest

Answers

Answer:

The answer to the question provided is

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

y = |cosx|
any body can answer my question ​

Answers

They answered this correctly


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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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 $

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

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

Answers

Answer:

4

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.

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!

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

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]

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:

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

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

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

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.

helppppppppp please ​

Answers

Step-by-step explanation:

12800000

or 567777000

$27500000

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

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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

:)))

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).

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

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.

Please help with this worksheet

real numbers

Answers

I DO NOT KNOW JUST GIVE ME A SECOND.

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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Solve: 3,125 = 5^-10 + 3x DONE
​

Answers

This is the answer......

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:

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)

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

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)

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

Answers

Answer:

The answer is false

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