The sum of interior angles of a regular polygon is 1080.Find the size of each exterior angle

Answers

Answer 1

Answer:

45

Step-by-step explanation:

Calculation to Find the size of each exterior angle

First step is to calculate the sum of interior angles of a polygon using this formula

Sum of interior angles of a polygon =S=(n-2)*180

Let plug in the formula

Sum of interior angles of a polygon=1080=(n-2)*180

Cross multiply

1080/180=n-2

6=n-2

Add 2 to both sides

6+2=n-2+2

n=8

Now let Find the size of each exterior angle using this formula

Size of each exterior angle=360/n

Where,

n represent numbers of sides of the polygon

Let plug in the formula

Size of each exterior angle=360/8

Size of each exterior angle=45

Therefore the size of each exterior angle will be 45

Answer 2

Answer:

45

Step-by-step explanation:


Related Questions

Helpppppp

Find the quotient: -45/5
A. -40
B. -9
C. 9
D. 40

Answers

Answer:

B - 9

Step-by-step explanation:

5 x 9 = 45 or 45 divided 5

The Schwartz family spent a total of $111.75 for Internet service for 3 months. Each month they received $5.50 as a credit on the bill. Which equation and solution shows the cost of their monthly Internet service before the credit? 3 (x + 5.50) = 111.75; the monthly Internet service is $31.75 3 (x minus 5.50) = 111.75; the monthly Internet service is $42.75 One-third (x minus 5.50) = 111.75; the monthly Internet service is $42.75 One-third (x + 5.50) = 111.75; the monthly Internet service is $31.75

Answers

Answer:

3 (x + 5.50) = 111.75; the monthly Internet service is $31.75

Step-by-step explanation:

Let

x = monthly cost of internet service

Each month they received $5.50 as a credit on the bill.

The Schwartz family spent a total of $111.75 for Internet service for 3 months.

Total cost of internet service for three months = 3(x + 5.550)

111.75 = 3(x + 5.50)

111.75 = 3x + 16.50

111.75 - 16.50 = 3x

95.25 = 3x

x = 95.25 / 3

= 31.75

x = $31.75

Answer:

B

Step-by-step explanation:

i did it on edge2020:)

Really need help on this math question! “Jill is draining her pool before winter arrives.
Initially the pool has 2000 gallons of water.
The pool is draining at a rate of 8 gallons per minute.
Write a function to model this situation.”

Answers

Answer:

f(x)=2000-8x

Step-by-step explanation:

2000 is initial amount that gets subtracted

8x is the amount of gallons being siphoned out, where x is t, or minutes.

The numbers 32 and 12 are each rounded to the nearest ten and then multiplied to estimate the product. What is the
best estimate of 32 x 12 based on this method?
0 300
O 384
O 400
O 424
Mark this and retum
Save and Exit
Next
Submit

Answers

Answer:

300

Step-by-step explanation:

if  you round 32 and 12 to the nearest it would be 30 an 10 so u multiply 30 times 10 too get 300

Which equations and/or functions represent the graphed line? Select three options.


f(x)=1/5x-4
f(x)=1/2x+2
f(x)=1/2+1
y-3=1/2(x-2)
y-1=1/2(x+2)

Answers

Answer:

The second one, the fourth one, and the fifth one.

f(x)=(1/2)x+2

y-3=1/2(x-2)

y-1=1/2(x+2)

The three equations that represent the graphed line are:

f(x) = (1/2)x + 2

y - 1 = (1/2)(x + 2)

y - 3 = (1/2)(x - 2)

To identify which equations and/or functions represent the graphed line, we can compare the given equations with the characteristics of the graph.

The graphed line appears to have a slope of 1/2 and passes through the point (0, 1). Let's check the options:

f(x) = (1/5)x - 4: This equation has a slope of 1/5, not 1/2, so it does not represent the graphed line.

f(x) = (1/2)x + 2: This equation has the correct slope of 1/2, but it does not pass through the point (0, 1), so it does not represent the graphed line.

f(x) = (1/2) + 1: This equation is not in slope-intercept form and does not represent the graphed line.

y - 3 = (1/2)(x - 2): This equation has the correct slope of 1/2 and passes through the point (2, 3). However, it does not pass through the point (0, 1), so it does not represent the graphed line.

y - 1 = (1/2)(x + 2): This equation has the correct slope of 1/2 and passes through the point (−2, 1) (after rearranging to slope-intercept form). It also passes through the point (0, 1), which matches the graph.

The three equations that represent the graphed line are:

f(x) = (1/2)x + 2

y - 1 = (1/2)(x + 2)

y - 3 = (1/2)(x - 2)

To know more about equations:

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Together, siblings Brandon, Brooke, Trent, and Trisha owe their parents $100. Write a number sentence to show how much each sibling owes if they share the debt equally. (Be sure to use negative numbers where appropriate.)

Answers

Answer: See explanation

Step-by-step explanation:

From the question, we are informed that four siblings Brandon, Brooke, Trent, and Trisha owe their parents $100.

The number sentence that will show how much each sibling owes if they share the debt equally will be:

= $100 ÷ 4

= $25

This mean that each child owes $25


Which of the following statements correctly explains whether or not the two figures are congruent?

Answers

Answer: The two figures are congruent since there is a rotation that carries one figure onto the other.

Answer: The two figures are congruent since there is a rotation that carries one figure onto the other.

Step-by-step explanation: I just took the test

Help me find this answer 40 points

Answers

Answer:

A

Step-by-step explanation:

The answer is up ahead

16) The diameter of a circle is 3/4ft. Find the radius.

17)The radius of a circle is √13 cm. Find the diameter. Leave your answer in simplest radical form

41) Given the equation (x+5)^2+y^2 =75 identify the circle's center and the length of its radius. Leave your answer in simplest radical form.

42) Given the center of a circle lies at (6,-3) and the diameter has a length of 14, write the equation of the cirlce

Answers

Answer:

16) diameter = 2×radius

3/4 ft = 2×r

r = 3/8

17) 2×radius = diameter

2×√13 = 2√13 cm

42) center = (6,-3)

radius = 14/2

= 7

[x-(6)]²+[y-(-3)]² = 7²

(x-6)²+(y+3)² = 49

Need hellllp ASAP!!!!!!!

Answers

Answer:

d

Step-by-step explanation:

11×17=187

i rounded both of the numbers to whole numbers and then multiplied them. i hope that's what they meant :)

Solve the system of equations. (1 point)

2x − 5y = 3
x − 3y = 1

(4, 1)
(5, 2)
(7, 2)
(9, 3)

Answers

Answer:

The answer is (4,1). Substitute the x and y values into the system and you should have the answer.

Answer:

option one

Step-by-step explanation:

Order the numbers from least to greatest:
9/10 1/6 7/5

Answers

Answer:

1/6, 9/10, 7/5

Step-by-step explanation:

1. what is 0.7 of 42
2. what is 0.3 of 14

Answers

Answer:1) 29.4

2)4.2

Step-by-step explanation:

0.7×42=29.4

0.3×14=4.2

which line is transversal​

Answers

Answer:

line l is the transversal

Line L is transversal

At which rooi does the graph of f(x) = (x - 5)3(x + 2)2 touch the x-axis?
O-5
O-2
O 2
5

Answers

2 for sure ................

A group of four friends goes to the movies. Each friend pays for a ticket, a snack, ana
drink. The ticket costs d dollars. The snack costs 1.5 times the price of a ticket
The drink costs $1.25 less than the ticket.
The expression 4d + 4(1.5d) + 4(d - 1.25) represents the amount the
riends pay altogether in dollars.
Which part of the expression represents the total amount the friends
pay for snacks?
d - 1.25
1.5d
4(1.50)
4d - 1.25)

Answers

Answer:

the answer is

4(1.5d)

Step-by-step explanation:

hope it help

The expression of the total amount paid on snacks is 4(1.5d).

What is the expression?

The expression is a sentence with multiple variables and constants connected via mathematical operator. An expression cannot have an equal to “=” sign.

It is known that the cost of a snack for 1 friend is 1.5 times the price of the ticket, d. So, the cost of a snack for 1 friend will be 1.5d

Multiply the cost of snacks for 1 friend by 4, to determine the total cost spent by 4 friends on snacks.

4(1.5d)

Thus, the expression for the total amount spent on snacks will be 4(1.5d).

To learn more about expressions click:

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Derek's truck used 8 gallons of gasoline to travel 320
miles. How far can Darek travel with 1 gallon of gas?

Answers

Answer:

40 miles

Step-by-step explanation:

8 gallons = 320 miles

1 = ?

320 miles / 8 gallons = 40

Derek's truck can drive 40 miles on 1 gallon

Answer:

40 miles

Step-by-step explanation:

320/8=40 miles

8-4x>4-2x solve inequality if u can pls make number line ​

Answers

Answer:

Step-by-step explanation:

-4x>8

x<-2

-4>-2x

8<x

8<x<-2

please help!
what’s the value of x?
8
56
12
62

Answers

Answer:

56

the picture below shows one that is parallel to the

which line is 56

6th grade math i mark as brainliest​

Answers

Answer:

(3)(c) - 11 5/8

Step-by-step explanation:

The parenthesis that are like this:

()()

mean multiplication

Answer:

3c - 11 5/8

Step-by-step explanation:

what is the geometric mean of
9 and 12
16 and 25
7 and 11

Answers

Answer:

Step-by-step explanation:

9 and 12   GM=[tex]\sqrt{9*12}[/tex]=10.39

16 and 25  gm=[tex]\sqrt{16*25}[/tex]=[tex]\sqrt{400}[/tex]=20

7 and 11    GM=[tex]\sqrt{7*11}[/tex]=8.77

Answer:

6sqrt(3)

20

sqrt(77)

Step-by-step explanation:

x is the geometric mean of a and b if the following equation is true.

a/x = x/b

9 and 12

9/x = x/12

x^2 = 9 * 12

x^2 = 108

x = sqrt(108)

x = 6sqrt(3)

16 and 26

16/x = x/25

x^2 = 16 * 25

x^2 = 400

x = 20

7 and 11

7/x = x/11

x^2 = 7 * 11

x = sqrt(77)

4. How do we divide polynomials using synthetic division?

Answers

Answer:

here

Step-by-step explanation:

Step 1 : set the denominator equal to zero to find the number to put in the division box. Next, make sure the numerator is written in descending order.

Step 2 : Once the problem is set up correctly, bring the leading coefficient (first number) straight down.

Step 3 : Multiply the number in the division box with the number you brought down and put the result in the next column.

Step 4 : Add the two numbers together and write the result in the bottom of the row.

Step 5 : Repeat steps 3 and 4 until you reach the end of the problem.

Step 6 : Write the final answer. The final answer is made up of the numbers in the bottom row with the last number being the remainder and the remainder must be written as a fraction.

Edgar is scuba diving 50 feet below the water. He is swimming to the surface at a rate of 3 feet per second. Write an equation to represent his depth, d, after s seconds.
Fill in the blank
d = __ s + __
(also to understand better we are doing the equation y = __ x + __ )

Answers

Answer:

d= 3s+50

Step-by-step explanation:

Hope this helped you!! Give brainliest..

I NEED HELP ASAP PLEASE


Which equation represents a line parallel to the line shown on the graph?


On a coordinate plane, a line goes through (0, 8) and (2, 0).

y = 4 x minus 1

y = negative 4 x + three

y = one-fourth x + 5

y = negative one-fourth x minus 1

Answers

9514 1404 393

Answer:

  y = -4x +3

Step-by-step explanation:

The given line has a "rise" of -8 for a "run" of 2, so its slope is ...

  m = rise/run = -8/2 = -4

A parallel line will have the same slope, so you want to choose the equation that has an x-coefficient of -4. That equation is ...

  y = -4x +3 . . . . the second choice

Answer:

y = one-fourth x minus 2

Step-by-step explanation:

Darnell created a scale drawing of the community garden in his town. The actual garden is 20 feet long. Darnell's scale drawing of
the community garden is 4 inches long
What scale did Darnell use to draw the garden?
O 2 inches equal 5 feet
o 1 inch equals 5 feet
o inch equals 1 foot
O 1 inch equals foot

Answers

The scale that Darnell used is required.

The scale that Darnell used is 1 inch equals 5 feet.

Scale diagrams

The length of the actual garden is 20 feet.

The scale drawing is 4 inches long

[tex]20\ \text{feet}=4\ \text{inches}[/tex]

Since, we are finding the inches to feet we divide the expression by [tex]4[/tex]

[tex]\dfrac{20}{4}\ \text{feet}=1\ \text{inch}[/tex]

[tex]1\ \text{inch}=5\ \text{feet}[/tex]

Learn more about scale diagrams:

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Find the value of y.​

Answers

Answer:

B

Step-by-step explanation:

For a fundraiser, the Lexington High School football team is making ice cream sundaes, They can buy chocolate ice cream for $15 per gallon and vanilla ice cream for $10 per gallon. They need at least 25 gallons and have a budget of $300. The lines x + y = 25 and 15x +10y= 300 are graphed in the coordinate plane below where and represent the number of gallons of chocolate and vanilla ice cream, respectively.
Which region represents all the numbers of gallon of each flavor that the team could buy?

Region A
Region B
Region C
Region D​

Answers

Answer:

region D

Step-by-step explanation:

all other regions are higher than $300

Answer:

C

Step-by-step explanation:

because its either A or C and when I did it I picked C and it was wrong.

¯\_(ツ)_/¯

is this a good drawing??

Answers

Answer:

I dont see a drawing???

Step-by-step explanation:

I doesn’t matter how bad the drawing it always good to me

X 2/4/8/10/16
Y 12458
O y= 2 x
O y=1 x
O y=x-1
Oy= x=2

Answers

Answer:

y = 1/2 x

Step-by-step explanation:

Given the table

X 2//4//8//10//16

Y 1//2//4//5//8

We are to find the equation that represent the table

Using the coordinates of x and y components from the table (2, 1) and (4, 2)

The standard expression for the equation is expressed as y = mx+c

m is the slope

c is the y-intercept

Get the slope;

m = y2-y1/x2-x1

m = 2-1/4-2

m = 1/2

Get the intercept c:

Substitute the point (2, 1) and the slope m = 1/2 into the expression y = mx+c

1 = 1/2(2) + c

1 = 1+c

c = 1-1

c = 0

Get the required equation

Recall that: y = mx+c

y = 1/2 x + 0

y = 1/2 x

Hence the required equation is y = 1/2 x

i will give brainliest

Answers

Answer:

5 th box 0: )

Step-by-step explanation:

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