The sum of the interior angles in a polygon is 15,480°. Calculate the number of sides in the regular polygon.

Answers

Answer 1

Answer:

88 sides

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides, then

180° (n - 2) = 15480° ( divide both sides by 180° )

n - 2 = 86 ( add 2 to both sides )

n = 88


Related Questions

The median of the observations, 8,11,15, x +1, X +3, 30, 35, 40, 43, Arranged in ascending Order in 22 Find the value of x

Answers

Middle terms are x+1 and x+3

(X+1+x+3)/2= 22

2x+4 = 44

2x = 40

X = 20

I need help. Maths; sets

Answers

Answer:

14

Step-by-step explanation:

The number of elements in M is 31, so let's make set M the set of the first 31 natural numbers.

M = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31}

Set N has 18 elements. We need to choose 18 elements to place in set N.

The union of sets M and N has 35 elements. That means that since set M contributes 31 elements to the union, set N only contribute 4 new elements to the union. That means that 14 of the 18 elements in N are in common with set M.

Set N can be:

N = {18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35}

Answer: 14

100 POINTS ANSWER QUICK

A sphere has a diameter of 9 inches.

What is the volume of the sphere rounded to the nearest tenth?

Use 3.14 for pi.


95.4 in³

381.5 in³

763.0 in²

3052.1 in³

Answers

Radius=r=9/2=4.5in

Now

Volume=

4/3πr³4/3π(4.5)³121.5π381.5in³

Option B

What is the result of adding these two equations?
5x - y = 6
-2x + y = 8

Answers

Answer:

3x = 14

Step-by-step explanation:

Given the two linear equations, 5x - y = 6 and -2x + y = 8:

We can add both equations the same way we add integers.  The only difference is that we add the terms with the same variables.

    5x  - y   =  6

+  -2x + y   =  8  

   3x + 0y = 14  or  3x = 14

Therefore, the sum is 3x = 14.

solve the proportion (someone pls help)

Answers

Answer:

y = 16

Step-by-step explanation:

11y = 2(24 + 4y)

11y = 48 + 8y

3y = 48

   y = 16

Find the solution of the system of equations.

10
x

9
y
=
−10x−9y=


10
10
8
x
+
9
y
=
8x+9y=


10
10



Answers

Answer:

sitting ai week few ai is

which letter has rotational symmetry?

I
J
K
L

Answers

k has a rotational symmetry

Write a linear function f with the given values. (-4,-2)(-2,-1)(0,0)

Answers

Answer:

The slope is: (y1 - y2)/(x1 - x2) = [(-1) - (-10)] / [0 - 3] = 9/-3 = -3. So the slope is -3. To plug the values into the point slope form

Step-by-step explanation:

For this, you are just looking for x and y coordinates

What is dehydrogenation ?

Answers

Answer:

Dehydrogenation is the a chemical reaction that involves the removal of hydrogen, usually from an organic molecule. It is the reverse of hydrogenation. Dehydrogenation is important, both as a useful reaction and a serious problem.

Please help me pretty please​

Answers

Answer:

805, 835, 865, 885

Step-by-step explanation:

divided into 20 parts

900-800=100

100/20=5

each part is 5

first one is 1 part away from 800

800+5=805

second one is 7 away from 800

800+7*5=835

third one is 7 away from 900

900-7*5=865

fourth one is 3 away from 900

900-3*5=885

Answer:

Solution :

Here we can see that horizontal line divided into 20 vertical lines between the horizontal line. Then,

= 900 - 800

= 100

Finding the value of 1 vertical line.

➝ 1 line = 100

➝ 1 line = 100/20

1 line = 5

Hence, 1 line = 5

Finding part 1 :

➝ 800 + (1 × 5)

➝ 800 + 5

805

Finding part 7 :

➝ 800 + (7 × 5)

➝ 800 + 35

835

Finding part 13 :

➝ 800 + (13 × 5)

➝ 800 + 65

865

Finding part 17 :

➝ 800 + (17 × 5)

➝ 800 + 85

885

Hence, the answer is 805, 835, 865, 885.

find the percentage change of $20 to $25

Answers

Answer:

25%

Step-by-step explanation:

Percent change formula:

[tex]C = \frac{x_{2} - x_{1}}{x_1}[/tex]

x_1 = initial value

x_2 = final value

[tex]\frac{25-20}{20} = \frac{5}{20} = \frac{1}{4}[/tex]

1/4 = 0.25

25 PERCENT INCREASE

it cant be descrase

Nicole makes $26,400 per year. Her monthly rent is 25% of her monthly income. (find the monthly income to find the monthly rent) What is her monthly rent? I assume $26,375?

Answers

1. First find her monthly income by dividing how much she earns in a year by 12: $26,400 divided by 12 = $2,200

2. Now we can find 25% of this to work out her monthly rent: 0.25 x $2,200 = $550. (25% is 0.25 as a decimal)

Answer = $550

Hope this helps!

Samir's sister goes for kathak dance lessons on Tuesday ,Thursday and Saturday every week .If each lesson lasts 50 minutes ,how much time did he practice dance at her class in 3 weeks?

Answers

Answer:

450 minutes or 7.5hours

Step-by-step explanation:

for 1 week = 50 *3 (min)

                 =150 minutes

for 3 weeks = 150* 3(min )

                    =450 minutes

Can you please help I can’t play in my basketball game Tuesday if I can’t pass this !

Answers

Answer:

i think its 71.1 but idrk

basically i hope you're able to play game good luck man

please help, this is due today:

Answers

Answer:

x = 17

Step-by-step explanation:

∠ DCE = ∠ ACE ( vertically opposite angles )

The sum of the 3 angles in a triangle = 180° , then

∠ DCE = 180° - (100 +x) = 180 - 100 - x = 80 - x

∠ ACE = 180 - (49 + 4x) = 180 - 49 - 4x = 131 - 4x

Equating the 2 angles

80 - x = 131 - 4x ( add 4x to both sides )

80 + 3x = 131 ( subtract 80 from both sides )

3x = 51 ( divide both sides by 3 )

x = 17

please help me with this question!!

Answers

Answer:

Step-by-step explanation:

9/50 // 12 / 1     You have a 4 tier fraction here.  You must invert the denominator (12/1) and multiply

9/50 * 1/12          Cancel 3 in the 9 and 3 in the 12

3/50 * 1 / 4         Multiply the numerators together and the denominators together.

3 / 200  each bottle with have 3/200 L or 1.5 / 100 L syrup in it.

1.5 / 100 L = 1.5 * 10 / 100 * 10 = 15 mL of medication in each bottle.      

 

Pls solve this I don't get it

Answers

I think it’s B, not sure

I need help please each number has its own equation number it off please

Answers

1) 22 is less than or equal to 5x-3
2) x/8 -5 > -6/10
3) 2+x is greater or equal to 12x4

Juan alquiló un auto por un día. La tarifa mínima es $490.00, con un cargo adicional de $9.70 por cada kilómetro que maneje. Juan pagó $2847.10 cuando entregó el auto. ¿Qué cantidad de kilómetros manejó? kilómetros Х $ ? ​

Answers

Answer:

243 km

precio de los kilómetros: $2357.10

Step-by-step explanation:

precio total = tarifa mínima + precio de los kilómetros

Para x kilómetros,

P = 490 + 9.7x

P = 2847.1

490 + 9.7x = 2847.1

9.7x = 2357.1

x = 243

precio de los kilómetros: 243 × $9.70/km = $2357.10

Respuesta: 243 km

precio de los kilómetros: $2357.10

pls help plsss





help
plss​

Answers

Answer:

number 2 is c, number 3 is c

Write an equation in slope-intercept form of the line that passes through (0, 6) and (3, -3)

Answers

Answer:

y=-3x+6

Step-by-step explanation:

Using slope formula

[tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex](0,  6) x1, y1(3, -3) x2, y2[tex]\frac{-3-6 }{3-0}=\frac{-9}{3}=-3[/tex]

If 7 boxes of crackers have a total of 98 crackers, how many crackers are in each
box?

Answers

14 in each box. 98/7=14

Answer:

1 box = 14 crackers.

Step-by-step explanation:

7 boxes = 98 crackers

=> [tex]\frac{7 boxes}{7} = \frac{98 crackers}{7}[/tex]

=> 1 box = 14 crackers.

Therefore, each box will have 14 crackers.

Hoped this helped.

[tex]GenuisUser[/tex]

15 divided by 1/5 as quotient

Answers

Answer:

15/1/5=15*5=75.

Step-by-step explanation:

Match the terms to their definition.
1. the result of a transformation on a point or figure
2. a transformation that preserves distance
the flipping of a plane about a fixed line; a transformation
3.
resulting in a mirror image over a line
the process of setting up correspondence between the
4. elements by of two sets so that every element of the first set corresponds to a unique element in the second set

Isometry
Image
Reflection
Transformation

Answers

I believe the numbers didn't fully correspond with the definitions so I tried my best to fix them and then match them.

Answer:

Isometry = 2: A transformation that preserves distance.

Image = 1: The result of a transformation on a point or figure.

Reflection = 3: The flipping of a plane about a fixed line; a transformation resulting in a mirror image over a line.

Transformation = 4: The process of setting up correspondence between the elements of two sets so that every element of the first set corresponds to a unique element in the second set.

help me pleaseeeeee!!!!!!​

Answers

Answer:

A' (1, -1)     B' (4, -5)     C' (6, -2)

Step-by-step explanation:

Since you're reflecting over the x (horizontal) axis, the y value has to change to show the height is increasing or decreasing (Decreasing in this case).

A (1, 1) --> A' (1, -1)     So (x,y) becomes (x,-y)

Hope this helps!

which of the following shows a way to factor the expression -6x+18

Answers

Answer:

x=24

Step-by-step explanation:

1. try to put x by itself

2. move the -6 but turn it into a positive

3. add 18 and 6 and that becomes your answer and equals to x

Hii!

______________________________________________________

Answer:

Step-by-step explanation:

Note that, -6x and 18 have something in common. This "something" is -6, so we factor it out by dividing both terms of the expression by it.

We obtain.

-x+3

Put parentheses around it.

(-x+3)

Put 6 outside the parentheses

6(-x+3)

--

Hope that this helped! Best wishes.

--

14. Choose the best description of the polynomial:
5y2 + 4y + 24.
A. 5th degree Trinomial
B. 3rd degree Binomial
C. 2nd degree Trinomial
D
4th degree Binomial

Answers

C as there are only 3 terms tip- (count how many symbols). And the highest power it goes to is 2 so it’s 5y squared. Hope this helps :)

Help please I really don’t understand SOS Due today

Answers

Answer:

Step-by-step explanation:

28 > 6x - 2

28 + 2 > 6x - 2 + 2

30 > 6x

5 > x or x < 5

4 people can trim a hedge in one hour.
How long would it take 3 people?
Give your answer in minutes.

Answers

4 people in 60 minutes =
1 person in 15 minutes

3 people = 45 minutes

Answer:

The total time taken by 3 men to trim the hedge would be 80 minutes.

Step-by-step explanation:

1) The time taken by 4 men to trim the hedge is 1 hour or 60 min.

2) One me would take 4 times more time alone i.e. Time taken by only one man would be 4 hours or 240 min.

3) The time taken by 3 men would be 3 times less than time taken by one man i.e. 240/3=80 min.

#of people = 4

time taken for 4 ppl = 1hr / 60mins  

# of people = 3

time taken = 1/x

4 - 1/60

3 - 1/x

cross multiply

x=60/3*4

x=80

hope this helps :)

mark me brainliest :D

The grocery store carries diapers for children. Each diaper container has 48 diapers. Two dozen babies each need a container of diapers. How many diapers are needed?

Answers

Answer:

A 1152 diapers

Step-by-step explanation:

2dozen is 24, so 24×48=1152

given:

each container= 48 diapers

2 dozen babies

to find:

the amount of diapers needed

solution:

[tex]12 \times 2[/tex]

[tex] = 24[/tex]

[tex]24 \times 48[/tex]

[tex] = 1152[/tex]

hence, 1152 diapers are needed for 2 dozen of babies.

answer= option A