The sun of interior angles of a regular polygon is 1260°.Calculate the number of sides of the polygon and the size of each exterior angle.

Answers

Answer 1

Answer:

a)The number of sides of the polygon = 9 sides

b) The size of each exterior angle = 40°

Step-by-step explanation:

The sun of interior angles of a regular polygon is 1260°.Calculate the number of sides of the polygon and the size of each exterior angle.

a) The number of sides of the polygon

We solve using the formula

S = ( n - 2 ) × 180 °

Where S = Sum of the Interior angles = 1260°

1260° = (n - 2) × 180°

Divide both sides by 180°

1260°/180° = n - 2

7 = n - 2

n = 7 + 2

n = 9 sides

b) The size of each exterior angle

The sum of each exterior angle of a polygon = 360°

Hence, size of each exterior angle = 360°/number of sides of the polygon

= 360°/9

= 40°


Related Questions

Find the value of x.

Answers

Answer:

10

please mark brainiest

Please help me solve my problem!!!

Answers

Answer:

B. Parallelogram

Step-by-step explanation:

1. It can't be a square since all 4 sides need to be equal. Squares have 4 equal angles (90 degrees angles)

2. A parallelogram is a four-sided figure with two pairs of parallel sides. This fits exactly with the image that is shown. But let's check the other answers first.

3. While rectangles also have 2 pairs of parallel sides, rectangles have 4 equal angles (90 degrees angles) just like squares do, it can't be a rectangle.

4. A rhombus has four equal sides, meaning this figure can't be a rohmbus.

5. It can't be a trapezoid since trapezoids only have one pair of parallel sides. This figure has 2 pairs of parallel sides.

6. Only B. Parallelogram could possibly be right. Therefore, the answer to this question is that  B. Parallelogram is the type of polygon that this figure is.

I need help with another too! :( I will mark brainliest! You will get 30 pionts

the picture is right there too! The question is also in the picture too!

I hope you could see it clrealy!

Answers

Answer:

130°

Step-by-step explanation:

Angle 3 and 7 are the same so angle 7 is 50°

180° is the angle of a straight line so we take 50 away from 180 giving us 130°.

Hope this helps! :)

simplify (5+1)2 - (12+32) /3

Answers

Answer:

-8/3

Step-by-step explanation:

(5+1)2 - (12+32) /3

(6)(2) - (44)/3

12 - 44/3

-8/3

land value is increased by 12 % in each year in 2016 , the value is $60000.


i )what us the land value after 4 years

ii) Calculate the increase of the land value during these 4 years.

Answers

Answer:

I=use PTR/100

ii =p+i

Step-by-step explanation:

hope you like it

what is the range of 20,15,10,5

Answers

Answer:

15

Step-by-step explanation:

Since range is the difference between the highest valued character and the smallest

20-5=15

please help me :(

Any Maths Moderator:( please help me; I am in great trouble​

Answers

Answer: (I am not a maths moderator)

x=4

Step-by-step explanation:

Multiply the exponents

(2x-4)^12=(4^2)^6 (exponents multiply so)

(2x-4)^12=4^12

4^12 = 16777216

(2x-4)^12= 16777216

Take the 1/12 exponent for both sides

that will remove the ^12 exponent from the left side and will take the 12th root for the right.

2x-4=4

add 4 to both sides

2x=8

divide both sides by 2

x=4

Answer:

x=4

Step-by-step explanation:

[tex](2x-4)^{12}[/tex]  =[tex]16^{6}[/tex]

2x-4=[tex]\sqrt[12]{16^{6} }[/tex]  =4

x=4

Mrs. Kelly's brother is 15 year younger than her. Their combined ages add up to 62 years. What is Mrs. Kelly's age

Answers

Answer:

38.5 years old

Step-by-step explanation:

Let us represent Mrs.Kelly's age with the parameter (k). It is given that her brother is (15) years younger than her, thus his age is (k - 15). It is given that the sum of their ages is (62). Therefore one can form an equation with the given information and solve for the unknown.

(Mrs.Kelly's age) + (Brother) = (62)

Substitute,

(k) + (k - 15) = 62

Simplify,

k + k - 15 = 62

2k - 15 = 62

Inverse operations,

2k - 15 = 62

2k = 77

k = 38.5

What’s the Missing Side?
PLEASEE HELPP

Answers

Answer:

missing side =19 ft

Step-by-step explanation:

area of a triangle =base *height/2

57=base*6/2

57*2=base*6

114=base*6

114/6=base

19 ft=base

**PLEASE HELP THIS IS FOR A FINAL**

Please show work as well

Answers

The answer could be 3/2 or 1/4 and I don’t know if this is right

Write an equation of the line that passes through the points (3.2) and (6,11). Show your work!

Answers

Answer:

[tex]y=3x-7[/tex]

Step-by-step explanation:

Hi there!

Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)

1) Determine the slope (m)

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] where the points given are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

Points (3,2) and (6,11)

[tex]=\frac{11-2}{6-3}\\=\frac{9}{3}\\= 3[/tex]

Therefore, the slope of the line is 3. Plug this into [tex]y=mx+b[/tex]:

[tex]y=3x+b[/tex]

2) Determine the y-intercept (b)

[tex]y=3x+b[/tex]

Plug in one of the given points and solve for b

[tex]2=3(3)+b\\2=9+b[/tex]

Subtract 9 from both sides

[tex]2-9=9+b-9\\-7=b[/tex]

Therefore, the y-intercept of the line is -7. Plug this back into [tex]y=3x+b[/tex]:

[tex]y=3x-7[/tex]

I hope this helps!

The graphs below have the same shape. f(x) = x.
What is the equation of the graph of g(x)?

A. g(x)=x^2-2
B. g(x)=(x-2)^2
C. g(x)=(x+2)^2
D. g(x)=x^2+2

Answers

Answer: D

Step-by-step explanation:

I think it’s D I’m not sure

Find the length of the missing side.
40 m
24 m
The length of the missing side is
m.

Answers

Answer:

40 m and 34 m

Step-by-step explanation:

vas muy bien seguro asi q hazlo tu JAJJA

Your side length is 32, using the Pythagorean theorem. We are given hypotenuse and length a. Now we are finding b, to do this substitute your known value 40^2 is 1600-24^2=1024. Now we have b^2=1024 square root both sides. Square root of 1024 is 32. Therefore b is 32. Hope this helps

Whoever answers these 2 right gets brainliest and 25 points!

Answers

Answer:

1. C) 8•9

2. D) 4•2

Step-by-step explanation:

1. multiplication come first before division

2. You have to resolve parenthesis first (3+4•2)

3•24÷12-(3+8)

Answer:

i think c and d

Step-by-step explanation:

math

Pls someone help me these's problem's!

Answers

Answer:

15. a because b is being squared by a variable meaning it is exponential and goes forever, but the answer choice B is set only to 3 squared, so a is the answer.

16. D because square root of 96 MINUS square root of 54 on calculator is 2.44948974278, BUT the square root of 6 is ALSO 2.44948974278, so the answer is D or square root of 6

Step-by-step explanation:

my explanation is all on the top

Solve for xxx. Enter the solutions from least to greatest. (x + 5)^2 - 64 = 0

Answers

Answer:

x1= -13,x2=3

Step-by-step explanation:

we have

(x+5)^2 -64=0

<=>x^ 2 + 10x+ 25-64=0

<=>x^ 2+10x-39=0

<=>( x-3).(x+13)=0

Answer:

-13, 3

Step-by-step explanation:

khan

Out of the people who have already taken their seats at a seminar, 2 people have black hair while 2 people do not. Considering this data, how many of the next 16 people to take their seats should you expect to be black-haired?

Answers

Answer:8

Step-by-step explanation:

We can expect 8 of the next 16 people to have black hair, based on the given information.

What is Probability?

It is a branch of mathematics that deals with the occurrence of a random event.

Since 2 out of the total number of people who have already taken their seats at the seminar have black hair

we can assume that the probability of a person having black hair is 2 out of the total number of people who have taken their seats.

The probability of a person having black hair can be expressed as:

P(black hair) = 2/(2+2) = 1/2

This means that out of the total number of people who have already taken their seats, half of them have black hair.

If we assume that the next 16 people to take their seats are chosen randomly and independently from the population,

we can use the expected value formula to calculate the number of people with black hair we would expect among those 16 people:

Expected value = total number of people x probability of having black hair

Expected value = 16 x (1/2)

Expected value = 8

Therefore, we can expect 8 of the next 16 people to have black hair, based on the given information.

To learn more on probability click:

https://brainly.com/question/11234923

#SPJ2


Mr. Catone noticed that many of the students in his classes had been born in
another country. He randomly chose 16 students and found that 7 of them
had been born in another country. If Mr. Catone's sample is representative,
which of the following is closest to the number of his 144 students who were
born in another country?
o
A. 54
Option A
B. 63
O
C. 72
D. 112
O
Item #3050

Answers

The answer is going to be option c. It’s going to be 72 it’s simple

Step by step pls thanks

Answers

The choose (d)

1/2(x+1)

x²–25/x²+6x+5 / 2x-10

(x+5)(x-5)/ (x+1)(x+5) / 2(x-5)

Remove (x+5) from the first fraction

(x-5)/(x+1) / 2(x-5)

(x-5) / 2(x-5)(x+1)

Remove (x-5)

1/2(x+1)

I hope I helped you

Good luck ^_^

If x÷36= -234 what is the value of x​

Answers

Answer:

x =-8424

Step-by-step explanation:

x÷36= -234

Multiply each side by 36

x÷36  *36 = -234 *26

x =-8424

Answer:

x = -8424

Step-by-step explanation:

[tex]x \div 36 = -234\\\\\frac{x}{36} = -234\\\\x = -234 \times 36 = -8424[/tex]

Brainliest goes to whoever answers correctly also if you want more points then answer my others

Answers

Answer:

It is a value that is an abnormal distance from the other values in a data set.

Step-by-step explanation:

An outlier is something that stands out from another thing. Such as color in a black and white film.

PLEASE HELP I NEED IT REALLY FAST!!!!

Answers

The length is 5

Step-by-step explanation:

Let the length be x

Width = ( X - 2)

Area = 15

area = length * width

15 = x(x -2)

15 = x² - 2x

x² - 2x - 15 = 0

(x² + 3x) - (5x - 15) = 0

x(x + 3) - 5(x + 15) = 0

x - 5 = 0 or x + 15 = 0

x =5 or x = -15

x = 5

0.45 written as a common fraction, in its simplest form, is

Answers

Answer:

920

So, 0.45=920 as a proper fraction in simplest form.

Solve for x.


A. 12
B. 1
C. 3
D. 5

Answers

Answer:

1

Step-by-step explanation:

hope this helps <3

The value of x is 1 if the angle CBA is 43x, and after applying the tangent-chord angle theorem option (B) is correct.

What is a circle?

It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)

We have a circle shown in the picture.

From the tangent-chord angle theorem:

Angle CBA = (1/2)[360 - (272x+2)]

Angle CBA = (1/2)[360 - 272x - 2]

Angle CBA = (1/2)[358 - 272x ]

43x = 179 - 136x

179x = 179

x = 1

Thus, the value of x is 1 if the angle CBA is 43x, and after applying the tangent-chord angle theorem option (B) is correct.

Learn more about circle here:

brainly.com/question/11833983

#SPJ2

A population of bacteria can be modeled by the function f(t) = 1000(0,98)", where t represents
the time since the population started decaying, and f (t) represents the population of the
remaining bacteria at time t. What is the rate of decay for this population?

Answers

Answer:

Decay rate of 2%

Step-by-step explanation:

Since there is no information about the units for time, merely stating that the decay rate is 2% will suffice. The decay rate for when r < 1 is found by finding 1-r, so the rate of decay is .02, or 2%.

14.) Solve for x if mZHWO
= 40", mHo is (x - 2) and
mYD is (x + 6).
x=
D
H
W
Y

Answers

Answer:

x = 38

Step-by-step explanation:

The chord- chord angle HWO is half the sum of the arcs intercepted by the angle and its vertical angle, that is

[tex]\frac{1}{2}[/tex] (x - 2 + x + 6) = 40 ( multiply both sides by 2 to clear the fraction )

2x + 4 = 80 ( subtract 4 from both sides )

2x = 76 ( divide both sides by 2 )

x = 38

find the value of x and y, (x+y, 2x-y)= (13, 2)

Answers

Answer:

Step-by-step explanation:

comparing corresponding elements

x + y = 13

2x - y = 2

Now use substitution method.

x + y = 13

x = 13 - y                 equation(i)

substitute the value of x

2x - y = 2

2(13 - y) - y = 2

26 - 2y - y = 2

-3y = 2 - 26

y = -24/-3

y = 8

substitute the value of y in eqaution(i)

x = 13 - y

x = 13 - 8

x = 5

therefore , x = 5 and y = 8

To check :

x + y = 13

when we add x and y then must come 13

5 + 8 = 13

13 = 13

2x - y = 13

substitute the value of x and y . REsult must come 2

2*5 - 8 = 2

10 - 8 = 2

2 = 2

10 - 8 = 2

Answer:

x = 5, y = 8

Step-by-step explanation:

Another way to write  (x+y, 2x-y)= (13, 2) is

x + y = 13 -- (1)

2x - y = 2 -- (2)

using the elimilation method,

Rewriting (1), y = 13 - x --(1)'

Replacing (1)' into (2),

2x - ( 13 - x) = 2

2x - 13 + x = 2

3x = 15

x = 5 -- (3)

Replacing (3) into (1),

5 + y = 13

y = 8 -- (4)

Accorindg to (3) and (4),

x = 5, y = 8

If this helps you, please give brainliest!

Find the measure of LABC. (Hint: Solve for x first.)

Answers

(4x+6)+(2x)=180 because they make up a line
6x+6=180
6x=174
x=29
4(29)+6=122

Can you guys help me find the answer

Answers

6+2=8
:))))))))))))))

Answer:

Step-by-step explanation:

Start by looking at the face that is closest to the bottom left. It is a hexagon and it makes 1 face.

It is connected to a similar hexagon on the upper right by 6 tiles. So that adds 7 more faces.

The total is 2 hexagons + 6 rectangles = 8 faces.

Simplfiy the expression
12/c^-8d^2?

Answers

the second one is the answer most likely, use the app photo math
The answer A:12c^8/d^2
Other Questions
In the context of communication, which of the following statements is true of people from high-context cultures? a) They prefer the use of the direct, get-down-to-business conversation style.b) They focus on the use of precisely written legal contracts.c) They give importance to the position, age, and seniority of parties in a conversation.d) They focus on the actual spoken and written word. Differentiate between an active partner and sleeping partner? Question 4 of 10What resulted from the popularity of the film The Birth of a Nation?A. People were inspired to form a new Ku Klux Klan.B. Historians picketed the film.C. Southerners refused to watch the film.O D. President Wilson banned the film. Complete the table for the given rule.Rule: y=x+3 What does The Metamorphosis have in common with many other works of literature as well as movies that were produced during the same period?A.They share the theme of boredom related to working a meaningless job.B.They show a happy and cheerful picture of what the future will be like.C.They focus on people who have been turned into horrible creatures.D.They feature children who were abused by their parents. I NEED THIS ASAP!!!!!!!! Please help quickly ill give brainiest to the correct answer. What the larger number in the block of an element in the periodic table 1. Que mecanismos utilizaron las congregaciones religiosas para solventar la falta de apoyo econmico por parte del Estado Espaol para desarrollar sus labores de evangelizacin durante la poca colonial. The biggest distinction between a eukaryotic cell and a prokaryotic cell is:A) The mode of reproductionB) The overall sizeC) The presence or absence of a nucleusD) The presence or absence of certain organelles how to simplify (a+3b)+3(4a+b) Shana has three pets, a dog, a cat and a bird. One of them is named Sammy. Noodles is younger than both the bird and the dog. Fluffy is green. Which pet has the name Sammy? Deficiency of Vitamin K causesA. RicketsB. AnemiaC. ScurvyD. Beri beri PLEASE HELP ME. this is due TONIGHT and i need this done so i have time for other assignments. thank you so muchexplaining your answer = brainliest. the area of this parallelogram is 504 square centimeters. y = ___ cm Sensors send out ............ signals In animal cells, the actin cytoskeleton forms a cleavage furrow to physically separate the cellular contents during cytokinesis. Explain why this approach won't work in plant cells, and describe how they do it instead. How do the underlined sentences on pages 1-2advance the author's point of view?XThey support the idea that people should beconcerned about the effects of bottled-waterproduction on the environment.They show that people who have little regard forthe environment are willing to spend money onhigh-quality bottled water.They show that people who do not have access tosafe water must pay for bottled water, at great costto the environment.They support the idea that people drink bottledwater based on quality concerns rather than oncost or environmental concerns. Why is the February Revolution of 1917 in Russia a private revolution? new product? What is unique about this revolution? I am eight years old (tag questions) Strange Fruit sung by Billie Holiday has an overall message thatA) shows the agricultural problems of the Great DepressionB) illustrates bias in the Jim Crow LawsCdisplays socioeconomic differences in the SouthD expresses the horrifying consequences of racism