Find the sum of the measures of the exterior angles of a convex 21-gon

Answers

Answer 1

The sum of the measures of the exterior angles of a convex 21-gon is 360 degrees.

What is an exterior angle?

An exterior angle of a polygon is the angle between a side and its adjacent extended side.

Polygon is a plane figure with a finite number of straight line segments.

The sum of exterior angles of any polygon is 360 degrees.

The sum of the measures of the exterior angles of a convex 21-gon is 360 degrees.

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Related Questions

Help me work out the equation of the line on this graph. I'll give out the brainiest!

Answers

Answer:

y=-1/4x+2

Step-by-step explanation:

The equation would be y=-1/4x+2 because the rise is -1 and the run is 4 (you could also say the run is -4 and the rise is 1. It doesn't really matter). The line also crosses the y axis at 2, which means that 2 is the y-intercept. :)

Answer:

y = (-1/4)x +2

Step-by-step explanation:

Having the actual graph is an easy way to calculate the equation of the line. Since the format is y = mx +b we just need to plug in numbers.

b = y-intercept

m = slope

We can automatically see that the y-intercept is 2, so b = 2. To find the slope we just calculate rise over run. The line is decreasing 1 unit for every 4 units it is "running". Therefore, -1/4 is your slope.

b = 2

m = -1/4

Now, all we need to do is plug in numbers.

y = (-1/4)x +2

For a circle of radius 4 feet, find the arc lengeth, S subtened by a central angle of 26 degrees

Answers

Answer:

Exact answer = 26π/45 feet.

or we can write it as 1.815 feet to the nearest thousandth.

Step-by-step explanation:

The circumference of the circle = 2*4*π = 8π feet.

So the length of S = (26/360) * 8π

= 26π/45 feet.

18 = r/3 what is r???

Answers

Answer:

54

Step-by-step explanation:

r/3 = 18

r/3 * 3 = 18 * 3

r = 54

Answer:

54

Step-by-step explanation:

multiplication is the opposite of division so you can do 18*3=54 and you can check that by dividing 54 and 3 and the answer is 18

Calculate the length AB

Answers

Answer:

Step-by-step explanation: bro use sin=opposite/hypotenuse

how many circles can be drawn passing through three non collinear points and how many circles can be drawn passing through three collinear points​

Answers

Answer:

Only one circle can be drawn through three non nonlinear points, No circle can be drawn through three nonlinear points

Step-by-step explanation:

A circle has a curve. As long as the three non nonlinear points both have the same amount of distance from the center of the circle it can be a circle drawn. No circle can be drawn through three points on the line.

Find S? Please help, thank you :)

Answers

Answer:

If I am correct, the answer should be 70.1 degrees.

Fill in the blank with a number to make the expression a perfect square.

Answers

Answer:

25

Step-by-step explanation:

if the expression is [tex]x^{2}[/tex] + 10x + 25, then the binomial factors will be the same which is (x+5)(x+5).

A perfect square is 25.

What is a perfect square?

In mathematics, a square number or perfect square is an integer that is the square of an integer; in other words, it is the product of some integer with itself. For example, 9 is a square number, since it equals 3² and can be written as 3 × 3

Given

if the expression is  x²+ 10x + 25, then the binomial factors will be the same which is (x+5)(x+5).

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Find the area of this figure.
A = in^2

Answers

Answer:

34

Step-by-step explanation:

Answer:

[tex]34in^2[/tex]

Step-by-step explanation:

First, you should find the area of the trapezoid which the formula for that is:

[tex](b1 + b2)h/2[/tex]

So, you will ad up 7in and 3in, and you should get 10in.

Now multiply 10 in by the height which is 5in, so it will be 50in^2. Then you have to divide that by 2 turning it into 25in^2.

For the top part, it is basically a triangle so you just multiply 3 by 6, giving you 18/2 = 9in^2

Add the two together and you should get 34in^2

Emma receives a large box in the mail.The box is 10cm longer than it wide,and the height is 6 cm more than the width

Answers

Answer:

y³+16y²+60y

Step-by-step explanation:

Complete question

Emma receives a large box in the mail. The box is 10cm longer than it wide, and the height is 6 cm more than the width. Find the polynomial function for volume of the box

Let the length be x

Let the width be y

let the height be z

If the box is 10cm longer than it wide, then x = y + 10

Also if the height is 6 cm more than the width,

z = y + 6

Volume of the box = xyz

Substitute

Volume of the box = (y+10)(y)(y+6)

Volume of the box = (y+10)(y²+6y)

Volume of the box = y³+6y²+10y²+60y

Volume of the box =  y³+16y²+60y

Hence the required polynomial function is y³+16y²+60y

Note that the question asked was assumed

A painter is painting a rectangular wall that measures 23.6 ft by 19.2 ft. Each gallon can of paint covers 200 square feet. What are the fewest gallons needed to paint the wall?

Answers

Answer:

3 gallons

Step-by-step explanation:

Length of the rectangular wall = 23.6 feet

Width of the rectangular wall = 19.2 feet

Surface area of the wall = 23.6 × 19.2

                                        = 453.12 square feet

∵ 200 square feet of the wall is covered by the amount of paint = 1 gallon

∴ 1 square feet of the wall will be covered by the amount of paint = [tex]\frac{1}{200}[/tex] gallons

∴ 453.12 square feet will require the amount of paint = [tex]\frac{453.12}{200}[/tex]

                                                                                         = 2.2656 gallons

Therefore, minimum 3 gallons will be required to paint the wall.

What is the solution to this inequality?

−9x−15 −2 ​

​ x>2 ​

​ x<2 ​

​ x<−2

Answers

Answer: =−9x−17

Step-by-step explanation:

Let's simplify step-by-step.  

−9x−15−2

=−9x+−15+−2

Combine Like Terms:

=−9x+−15+−2

=(−9x)+(−15+−2)

=−9x+−17     this is the answer search it up    

The picture shows a blue rectangle split into 6
equal parts and an orange rectangle split into 6
equal parts.

Drag figures to each box so that their total area is equal to the number given.

Answers

Answer:

what is the answer?

Step-by-step explanation:

Answer:

Answers are in the pictures.

Step-by-step explanation:

A plumber chargers a fee of $75 plus $30 per hour on the job. Make a table of values for the total charge depending on the number of hours the plumber works. Determine if this can be defined by a linear or an exponential function. What is the function?
a. Linear: T=30+75h
b. Exponential: T=75(30)^h
c. Exponential: T=30(75)^h
d. Linear: T=75+30h

Answers

Answer:

d

Step-by-step explanation:

It is going at a steady rate of 30$ an hour

Total charges of the plumber depending on the number of hours he works is defined by the linear function T = 75 + 30h.

What is linear functions?

Linear functions are those whose graph is a straight line. A linear function has the following form. y = f(x) = a + bx. A linear function has one independent variable and one dependent variable.

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Previous 20 Item 20 The width of a rectangular room is 60% of its length. The length of the room is 10 feet. What is the area of the room

Answers

Answer: A=60 square feet

Explanation: w=10*0.6=6 ft.

A=lw

A=10*6=60 square feet.

Answer: 60 feet²

Step-by-step explanation:

The width of the rectangular room is 60% of the length which is 10 feet.

The width is therefore:

= 60% * 10

= 6 feet

The area of a rectangle is calculated by the formula:

= Length * Width

Area there is:

= 10 * 6

= 60 feet²

URGENT!!!!
Which of the following equations would not contain the point (4,12) y=3/4x+9 y=-1/2x+14 y=1/2x+8 y=-2x+20

Answers

Answer: y = 1/2x + 8

Step-by-step explanation:

A map has the scale 1cm:40mi. What is the distance between two towns that are 3.3cm apart on the map?

Answers

Answer:

132 miles

Step-by-step explanation:

Given data

scale 1cm:40mi.

this means that

1 cm on the map is equal to 40 miles on

Hence if 1cm rep 40 miles

              3.3cm will rep x

cross multiply

x= 3.3*40

x=132 miles

The graph of y= f(x) is shown below. What is the value of f(-3)

Answers

f(-3) -4, Use the graph to connect them

The value of the function at x = -3 is -1

What is function?

A function is defined as a relation between a set of inputs having one output each. In simple words, a function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range.

Given that a graph of y= f(x), we need to find f(-3)

The graph tells the value of y when x = -3 is -1

Hence, The value of the function at x = -3 is -1

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please help with this ASAP. image below

Answers

Angle BDC is complementary

Answer:

Angle BDC

Step-by-step explanation:

Complementary is angles that add up to 90 degrees

can someone solve this?

Answers

47z²−25

Step-by-step explanation:

3627272727822881818181

Answer:

130z-3

Step-by-step explanation:

Break down the equation:

(9[tex]z^{2}[/tex]-4)=

9z * 9z= 81z

You can't subtract 4, so I left it at (81z- 4)

(7[tex]z^{2}[/tex]+ 1)=

7z * 7z= 49z

You can't add 1, so I left it at (49z+ 1)

Then Solve:

You can add 81z and 49z.

81z+49z= 130z

-4+1= -3

Hope this helps!

Plz help!

Find the values of f(25) and f(40)

Answers

Answer:

if there is no equation given with the problem, then all you do is read the y coordinate value corresponding to 25 mins and 40 mins.

here f(25) looks yo be 7 and f(40) looks yo be 20.

The volume of a cube is 8 in^3 What is the length of one side?
2.7in3
2 in3
2.7 in
2 in

Answers

Answer:

2 in

Step-by-step explanation:

Use the cube volume formula, V = s³, where s is the side length

Plug in 8 as V and solve for s:

V = s³

8 = s³

Take the cube root of both sides:

2 = s

So, the length of one side is 2 inches.

The length of one side of cube will be 2 in i.e. option D.

What is volume ?

Volume is the amount of space that something contains or fills.

Volume of the cube = side³ = a³

We have,

Volume of the cube = 8 in³

And,

Side of cube = a

So,

Volume of the cube = side³ = a³

i.e.

8 = a³

⇒ a³ = 8

a = ∛8

On solving we get,

a = 2

i.e.

Side of cube = 2 in

Hence, we can say that the length of one side of cube will be 2 in i.e. option D.

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I really need help,Please help:))))))

Answers

The answer is yes it increase
yes it is able to increase

complete square to solve
3x^2 + 12x – 9 = 0

Answers

Answer: I hope this answer your question

Step-by-step explanation: Have a brilliant day mate- Lily ^_^

if 10 shirts cost $80, what is the unit rate (the cost of 1 shirt)?

Answers

Answer:

Each shirt is $8

Step-by-step explanation:

80÷10 = 8

Answer:

$8

Step-by-step explanation:

Form your equation, there are 10 shirts at x price, and they equal $80:

10x = $80

solve for x by dividing both sides by 10

10x/10 = $80/10

x = $8

PLEASE HELP URGENT!! giving 20pts and brainliest!!

Answers

Rule: opposite sides are equal/ angles are equal.

URGENT pls help will mark brainliest, 40 points

Answers

Answer:

14answer 3

15answer1

16answer1

Can someone PLEASE help with this one question!?

Answers

Answer:

x^2= 25

x = 5

pls mark as brainliest

x= + or - 5
Hope that helped

18 (03.06 MC
are filled the glass shown below.comeletely with water. The total amount of water that you poured into the glasses a 120 cubic centimeters. What is the height of glass 17 Round your new to the nearest hundreditres (2.14.) Note that all
mentre comers and images are not to scale (pont)
.

Answers

Answer:

sasuke

Step-by-step explanation:

B is The power W produced in an electrical circuit is directly proportional to the current I that flows through the circuit.  If a power of 750 watts is produced by a current of 9 amps, what power would be produced by a current of 6 amps?

if you spin the spinner 40 times, how many 4'

Answers

Answer:

10

Step-by-step explanation:

Answer:

Your prediction would be eight 4's

Step-by-step explanation: I just solved it!

PLEASE HURRY I NEED THIS ANSWERED Which expressions are equivalent?

Answers

Answer:B

Step-by-step explanation:

B because 3 is still x answers are just flipped

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