the formula of ONE INTERIOR ANGLE of a REGULAR polygon.

Answers

Answer 1

Answer:

180° - (360/n)°, where n is the number of sides of the polygon.

Step-by-step explanation:

Polygon has n sides.

Divide the polygon radially into n congruent, isosceles triangles.

For each triangle:

 vertex angle = (360/n)°

   sum of base angles = 180° - vertex angle = 180° - (360/n)°

Each interior angle of the n-gon = 180° - (360/n)°


Related Questions

Determine the value of x

Answers

Answer:

the value of x is 80

Step-by-step explanation:

Evaluate the expression when m=25 and n=2

Answers

Answer:

what the expression, lmk in comments and then i will help you :)

Step-by-step explanation:


What is the simplified form of 5√x• 5√x•5√x•5√x

Answers

Answer:

i could be wrong but (5√x)^3

Step-by-step explanation:

im ot sure though

Answer is

(5√x)^3

Step-by-step explanation:

Based on a 4-week work month and a 40-hour

workweek, which amount is closest to the combined

hourly wage needed for this family to pay its

budgeted expenses?

A

$1,107.50

B

$27.69



$110.75

D

$55.38

Answers

Answer:

$27.69

Step-by-step explanation:

Given

Monthly budget (See attachment)

[tex]Month = 4\ weeks[/tex]

[tex]Week = 40 \ hour[/tex]

Required

Determine the closest hourly wage

From the attachment, the monthly budget is:

[tex]Budget = \$ 4430[/tex]

First, we calculate the closest weekly earnings.

Since a month = 4 weeks.

Then

[tex]Weekly\ Earnings = \frac{\$4430}{4}[/tex]

[tex]Weekly\ Earnings = \$1107.5[/tex]

Next, we calculate the hourly earnings:

Since 1 week = 40 hour

Then

[tex]Hourly\ Earnings = \frac{\$1107.5}{40}[/tex]

[tex]Hourly\ Earnings = \$27.6875[/tex]

From the list of options, the closest is: $27.69

In a bag of Starbursts, 30% of the bag is pink. There are 90 pink starbursts in the bag. How many Starbursts are in the bag?

Answers

Answer:

27

Step-by-step explanation:

3/10 / 30% / .3

3        x

10        90            -use criss cross method so 3 and 90 and x times 10

270 =10x

27=x

you can also go on a calculator and type 90 times 0.3 and get the answer too

A radial saw has a blade with a 6-in radius.
Suppose that blade spins at 1000 rpm.
Find the angular speed of the blade in
rad/min.

Answers

Answer:

The angular speed of the blade is of 166.67 rad/min

Step-by-step explanation:

The velocity, is given by the following equation:

[tex]v = rw[/tex]

In which r is the radius and w is the angular speed.

We use this relation to solve this question;

We have that:

[tex]v = 1000, r = 6[/tex]. We want to find w. So

[tex]v = rw[/tex]

[tex]1000 = 6w[/tex]

[tex]w = \frac{1000}{6}[/tex]

[tex]w = 166.67[/tex]

The angular speed of the blade is of 166.67 rad/min

helps!! will give brainliest

Answers

a) the graphs of a equation are parallel

What fraction is shown on the ruler below?

Answers

Answer:

4.30

Step-by-step explanation:

because there is 4.25 and then the line after is 4.25

Answer: its 4 5/16

Step-by-step explanation: 100 on my quiz

What percent of 72 is 16?

( My answer sheet says it’s 30

Answers

If you are using a calculator, simply enter 16÷72×100 which will give you 22.22 as the answer.
22.22 hope you find this answer very helpful

Which benchmark is 1 7 is closest to

Answers

Answer:

I need points

Step-by-step explanation:

Answer:

They use these benchmarks to help compare the relative sizes of fractions, through ... Understanding why a fraction is close to zero, one half or one helps students ... "7/8 is closer to one because eighths are smaller parts than sixths and 7/8 is ...

Step-by-step explanation:

∅,∅                    ∅ω∅hope this helps

Helppppppppppppp!!!!!!

Answers

Answer:

1. V(12) = $ 1200

2. V(20) = $ 4800

Step-by-step explanation:

The following data were obtained from the question:

V(t) = 150 × 2ᵗ/⁴

V(12) =?

V(20) =?

1. Determination of V(12)

Time (t) = 12 years

V(12) =?

V(t) = 150 × 2ᵗ/⁴

V(12) = 150 × 2¹²/⁴

V(12) = 150 × 2³

V(12) = 150 × 8

V(12) = $ 1200

2. Determination of V(20)

Time (t) = 20 years

V(20) =?

V(t) = 150 × 2ᵗ/⁴

V(20) = 150 × 2²⁰/⁴

V(20) = 150 × 2⁵

V(20) = 150 × 32

V(20) = $ 4800

Miles is throwing three darts at the board shown below. His score is the sum of all three darts. How many different possible total scores could Miles get with three darts?



A. 200

B. 31

C. 12

D. 10

Answers

The required a combination of different possible total scores could Miles get with three darts nC3.

What are permutation and combination?

In arithmetic, combination and permutation are two different ways of grouping elements of a set into subsets. In combination, the components of the subset can be recorded in any order. In a permutation, the components of the subset are listed in a distinctive order.

here,
The question seems to be incomplete,
So this solution is standard by certain assumptions.

Let the on the board there are n number of scores listed,
So the different possible total scores could Miles get with three darts
Is given as by combination = nC3

Thus, the required combination of different possible total scores could Miles get with three darts nC3.

Learn more about permutations and combinations here: https://brainly.com/question/2295036
#SPJ2


Any help? Bsbhsjsjsjjsjsjsjsjjsjsjsjsjsjsjs

Answers

The answer is SSS because all sides of the triangle are equal, making them congruent. :)

On the summit of a mountain, rising 784 1/5 meters from the sea level, is put a tower raising a height of 38 1/25 meters. On the roof of this tower is a lightning rod with a height of 3 4/5 meters. At what height above sea level is the very top of the lightning rod?

Answers

Answer:

826 1/25

Step-by-step explantion

What I did is I added up 784 1/5 + 3 4/5 = 788 then I added 788 + 38 1/25 and I got 826 1/25. You can add the numbers up in any order but I did it in this order because I would get a whole number in the first step!

Answer:826 1/25

plz trust me

HELPPP PLZ I WILL GIV BRAINLIESTWhat is the
تران
0 1

Answers

Answer:

2/7

Step-by-step explanation:

got 100%

Answer:

B. 1 1/12

Step-by-step explanation:

You're welcome

4. Find the area of the triangle whose breadth is 48 cm and height is 5cm​

Answers

Answer:120

Step-by-step explanation:

A=(h)(b)/2
A=(5)(48)/2
A=120

Which operation should be performed on both sides of this equation to solve for x?

x +4= 6

A

В.

add 4

add the opposite of 4

C.multiply by the reciprocal of 4

D. multiply by the opposite reciprocal of 4

Answers

Answer:

B. add the opposite of four

Step-by-step explanation:

x + 4 = 6

x + 4 + (-4) = 6 + (-4)

x + 4 - 4 = 6 - 4

x + 0 = 2

x = 2

Pls help offering 20 points D:

Answers

Answer:

ok,soo I found out that when you add one of the y values to positive 9 it gives you the exact x value which is correct

Help me in math aaaaaaa​

Answers

Answer:

105

Step-by-step explanation:

180 - 140 = 40

180 - 145 = 35

35+ 40 = 75

180 - 75 = 105

a = 5

Answer:

105

Step-by-step explanation:

interior angle next to 145 is 180-145=35

interior angle next to 140 is 180-140=40

angle a= 180-35-40=105

Jamie cut a rope into thirds. He used two of the pieces to make a swing. He used equal lengths of the leftover rope on four picture frames. What fraction of the original rope did he use for each picture frame

Answers

Answer:

Step-by-step explanation:3/4

1/12

I had this on one of my questions

Hellen used a coupon she received in the mail at a local boutique that decreased her purchase of $85.20 by $12.78. Her sister used the same coupon and decreased her purchase of $63.80 by $9.57. Write the equation of a line, in the form y = mx + b, to model this linear relationship.

Answers

Answer:

y = 12665 (100⁻¹)  + b

Step-by-step explanation:

To model this relationship, you're to write the equation of a line; in the form

y = mx + b

Now let y represent the full coupon value,

mx represent the amount spent by Hellen and her sister

and b, the change that's left on the coupon.

So, the summary of Hellen's transaction is:

$85.2 became $(85.2 - 12.78) which is  =  $72.42

The summary of her sister's transaction is:

$63.8 became $(63.8 - 9.57) which is  =  $54.23

So   y - (72.42 + 54.23) = b

y - 126.65 = b

y = 126.65 + b

Separating m from x in mx, you have

y = 12665 x 1/100  + b

y = 12665 (100⁻¹)  + b

Where m = 12,665   and x = 100⁻¹

All edges of a cube are expanding at a rate of 6 centimeters per second. (a) How fast is the volume changing when each edge is 5 centimeter(s)

Answers

Answer:

(a).The volume of cube is changing at the rate [tex]450 cm^3/s[/tex]

Step-by-step explanation:

Let x be the side of cube

[tex]\frac{dx}{dt}=6 cm/s[/tex]

We have to find the rate at which  volume of cube changing when edge is 5 cm.

We know that

Volume of cube, V=[tex]x^3[/tex]

Differentiate w.r.t t

[tex]\frac{dV}{dt}=3x^2\frac{dx}{dt}[/tex]

Substitute the values

[tex]\frac{dV}{dt}=3(5)^2\times 6[/tex]

[tex]\frac{dV}{dt}=450 cm^3/s[/tex]

Hence, the volume of cube is changing at the rate [tex]450 cm^3/s[/tex]

Please help solve this

Answers

Answer:

Step-by-step explanation:

in one kilometer theres 0.6214 mile and in 75 there 120 kilometers

Name an amount that is NOT a solution to the
inequality. Explain how you know.

Answers

answer: 20

in the number line, you can see that the dot on 20 is an open circle. this means that it is not included. so 20 could be one of the answers.

- anything greater than 20 would be an answer.

Can anyone help me with this?

Answers

Answer:

its option c kskskwoodid djekeo e ekekwl skewered dokekwowkwkw ekekekkr

Answer:

purple green blue is what it looks like

HELP!!!!

When Jackson moved into a new house, he planted two trees in his backyard. At the time of planting, Tree A was 24 inches tall and Tree B was 36 inches tall. Each year thereafter, Tree A grew by 10 inches per year and Tree B grew by 7 inches per year. Let A represent the height of Tree A t years after being planted and let B represent the height of Tree B t years after being planted. Write an equation for each situation, in terms of t, and determine the height of both trees at the time when they have an equal height.

Answers

Answer:

For tree A: 24+10t

For tree B: 36+7t

They are at the same height at 4 years at a height of 64 inches

Step-by-step explanation:

To figure out when the trees are at the same height make the equations equal to each other and solve for T

24+10t=36+7t

Subtract 24 and 7t from both sides to get

3t=12

divide by 3 to get

t=4

This means at t=4 they are at equal height so we plug this into any of the equations

24+10*4

this is equal to 64

We can double check by plugging t=4 into the second equation

36+7*4

36+28=64

A collection of dimes and nickels has a total value of two dollars and contains 28 coins. How many dimes are there in the collection?

A.)14 dimes

B.)8

C.)12

D.)10

Answers

You were supposed to make a system of equations and solve it by elimination. the answer is C and here’s how i solved it. I hope this helps you out and helps you understand this topic a bit more :)

Answer:

12 dimes

Step-by-step explanation:

Let :

Dime = x

Nickel = y

Dime is worth 10 cent = $0.1

Nickel is worth 5 cent = $0.05

x + y = 28 - - - (1)

0.1x + 0.05y = 2 - - - (2)

From (1)

x = 28 - y

0.1(28 - y) + 0.05y = 2

2.8 - 0.1y + 0.05y = 2

2.8 - 0.05y = 2

2.8 - 2 = 0.05y

0.8 = 0.05y

y = 0.8 / 0.05

y = 16

x = 28 - 16

x = 12

2(-3x + 5) = -4(x + 4)

Answers

Answer:

5x - 3 = 3x - 5

2x = -2

x = -1

hope it helped you

Answer:

x=13

Step-by-step explanation:

PLEASEEEE HELPPP MEEEEE OUTTTTT

Answers

Answer: No.

Step-by-step explanation: This is because the sum of 2 side lengths has to be greater than the remaining side length. 3+6 is not greater than 9, so a triangle cannot be formed.

the answer is no, no no no

Determine the value of y, if x is 3.
y = x + 10

HELP FAST

Answers

Answer:

13

Step-by-step explanation:

3+10

Answer:

13

Step-by-step explanation:

y = x + 10

x = 3

y = (3) + 10

y = 13

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