Find the measure of each interior angle and each exterior angle of a regular 90-gon.

Answers

Answer 1

Answer:

Interior angle

176 degrees

Exterior

4 degrees

Step-by-step explanation:

Exterior angle

For any polygon, the measure of the total exterior angle is 360

To get the individual exterior angle, we divide the total by n, which is the number of sides, 90 in this case

We have this as;

360/90 = 4

Interior

To get the measure of each interior angle, we use the formula below;

[(n-2)180]/n

n in this case is 90

So we have

[(90-2)180]/90

= (88 * 180)/90

= 2 * 88 = 176


Related Questions

The school board claims that 85% of the over 1,600 families with children in their district send their
children to public school. Skeptical of this claim, a private school administrator takes a simple random
sample of 120 families with children in the district and asks them whether they send their children to
public school.
Assuming the school board's claim is correct, what is the probability that the administrator's results are
within 5 percentage points of the school board's 85% claim?

Answers

Answer:

P(0.8<  p ^ <0.9)≈0.87

Step-by-step explanation:

trust me

The probability that the administrator's results are within 5 percentage points of the school board's 85% claim is approximately 0.919.

What is probability?

Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.

To find the probability that the administrator's results are within 5 percentage points of the school board's 85% claim, we need to find the probability that the sample proportion of families sending their children to public school is between 80% and 90%.

We can use the normal approximation to the binomial distribution to calculate this probability. Since the sample size is large (n = 120) and the population proportion is not too close to 0 or 1 (p = 0.85), we can use the normal approximation.

The mean of the sampling distribution is the population proportion, which is 0.85 in this case. The standard deviation of the sampling distribution is given by the formula:

SD = √((p × (1 - p)) / n)

Plugging in the values, we get:

SD = √((0.85 (1 - 0.85)) / 120)

= √(0.01225 / 120)

= √(0.0001010417)

= 0.0101

Now we can use the normal distribution calculator to find the probability that the sample proportion is between 0.80 and 0.90. Plugging in the mean (0.85) and standard deviation (0.0101) and the upper and lower limits (0.80 and 0.90), we get a probability of 0.919.

Therefore, the required probability is approximately 0.919.

Learn more about probability here:

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#SPJ2

If it is 2$ and it was 75 percent off what is the original price?

Answers

Answer:

$8

Step-by-step explanation:

If it's 75% of that mean 2=25%

multiply it by 4 to get 8

can you round 16.191

Answers

Answer:

Yes,

rounding to the nearest hundrenth would be 16.19

rounding to the nearest tenth would be 16.2

and rounding to the nearest ones place would get you 16

Step-by-step explanation:

answer to (3j–1)+(–5j–4) ??

Answers

Answer:

-2j - 6

Step-by-step explanation:

3j - 2 + (-5j) - 4

3j - 2 - 5j - 4

-2j - 6

Find the area of the right triangle

Answers

The answer i think should be 8

Answer:

12 is the area

Step-by-step explanation:

Area is multiplication

2 width

6 length

2 times 6

A figure has side lengths as marked in the diagram.
What is the area of the figure?

Answers

Answer:

132.4

Step-by-step explanation:

Which 2 variables are most likely to show a negative correlation when represented on a scatter plot?

Answers

Answer:

Water level and temperature

Step-by-step explanation:

Scatter plots are used to graph linear data containing to two variables, with the independent variable on the x - axis and the dependent variable on the y-axis. Linear data graphed on a scatter plot may be positive or negative depending on the type of relationship which exists between the two variables. Positive relationships are represented by positive slopes, with x increasing as y increases. Negative relationship on the other hand results in a reduction in Y as X increases and vice versa. Examples of negative correlation include the association between water level and temperature. ; water level will usually decrease as temperature rises. Therefore, any association between variables whereby a increase in one leads to a corresponding decrease on the other is tagged as a negative correlation.

Can someone please help me answer this??

Answers

Answer:  x = (y-2)^2 + 5

In other words, y-2 goes in the first box and 5 goes in the second box.

=================================================

Work Shown:

y^2 - 4y - x + 9 = 0

y^2 - 4y + 9  = x

x = y^2 - 4y + 9

x = y^2 - 4y + 4 + 5 .... rewrite 9 as 4+5

x = (y^2-4y+4) + 5

x = (y-2)^2 + 5  .... apply the perfect square factoring rule

So we'll have y-2 go in the first box and 5 goes in the second box

note: One version of the perfect square factoring rule says (a-b)^2 = a^2-2ab+b^2.

the top answer is correct might just want to tell you that

A photo processing place can develop 416 photos in 8 hours. How many photos can it develop every hour?

Answers

Answer:

52 photos per hour

Step-by-step explanation:

8 goes into 400 50 times, and goes into the remaining 16 twice. Therefore, 416 photos/8 hour=52

Answer:

A) 52

Step-by-step explanation:

What is the rate of change of the function represented by the table? X 1 2 3 4, Y 5 5 5 5.
0
1
4
5​

Answers

Answer:

Rate of change looks to be 0

Answer:

A or in other words its 0

Step-by-step explanation:

Jerome bought 2 postcards and received $1.50 in change in quarters,dimes. And nickels.The nickels, were worth $0.15.If he got 9 coins, back how many of each coin did he get

Answers

Answer:

Jerome got 5 quarters, 1 dime and, and 3 nickels.

Step-by-step explanation:

Let's define the variables:

N = number of nickels he got

D = number of dimes he got

Q = number of quarters he got

We know that the nickels were worth $0.15

And each nickel is whort $0.05

Then:

N*$0.05 = $0.15

N = $0.15/$0.05 = 3

N = 3

Now we also know that there is a total of 9 coins, then:

N + D + Q = 9

3 + D + Q = 9

D + Q = 9 - 3 = 6

D + Q = 6

And we also know that the total change received is $1.50, then:

D*$0.10 + Q*$0.25 + N*$0.05 = $1.50

We know that N = 3, then we can replace that and get:

D*$0.10 + Q*$0.25 + 3*$0.05 = $1.50

D*$0.10 + Q*$0.25 = $1.50 - $0.15 = $1.35

D*$0.10 + Q*$0.25 = $1.35

Then we have two equations:

D + Q = 6

D*$0.10 + Q*$0.25 = $1.35

To solve this, we can isolate one of the variables in one of the equations, i will isolate D in the first one:

D = 6 - Q

Now we can replace this in the other equation:

(6 - Q)*$0.10 + Q*$0.25 = $1.35

Now we need to solve this for Q.

$0.60 - Q*$0.10 + Q*$0.25 = $1.35

Q*$0.15 = $1.35 - $0.60 = $0.75

Q = ($0.75)/($0.15) = 5

Q = 5

Then Jerome has 5 quarters.

Now we can return to the equation:

N + Q + D = 9

We already know that:

N = 3

Q = 5

Then if we replace those in the equation, we get:

3 + 5 + D = 9

8 + D = 9

D = 9 - 8 = 1

D = 1

Put the following equation of a line into slope-intercept form, simplifying all fractions.

Answers

put into y=mx+b form y= -2/3x-5

Answer:

[tex]4x+6y=-30\\\\6y=-4x-30\\\\y=\frac{-4x}{6} -\frac{30}{6} \\\\ y=\frac{-2}{3} x-5[/tex]

Step-by-step explanation:

I hope this helps

have a nice day!! :)

anyone tell me the answer

Answers

Answer: 0.9 is the same as 9 tenths

0.009 is the same as 9 thousandths

Tell whether the ordered pair is a solution.
y=4x
(1,4)

Answers

Answer:

It’s a solution

Step-by-step explanation:

Please help me out with this!

Answers

Answer:pooor guy hope u get it

Step-by-step explanation:

Find the missing length of the triangle 12 in and 35 in.

Answers

Answer:

37

Step-by-step explanation:

The answer is 37 I tried it and its right

Ann has two more than twice the amount of toffees Mary has. Total number of

toffees among them is 11. (i) Assuming the number of toffees Mary has is x, build up an equation.​

Answers

Answer:

SO THE EQUATION IS

2 + 2X = 11

Help please!!!!!!!!!!!

Answers

Answer: x = 12, ∠B = 45°

Step-by-step explanation:

Angle A and Angle B are alternate exterior angles meaning that they are equal

5x - 15 = 2x + 21

3x - 15 = 21

3x = 36

x = 12

B = 2(12) + 21

B = 24 + 21

B = 45

Which equation represents a nonlinear function?
Help please!!!

Answers

Answer:

C

Step-by-step explanation:

A linear equation cannot have a variable as a denominator. So that makes C a non - linear equation. Also, if you graph C, it is NOT a straight line.  

C is the answer to the function

What is the value of c?
C=

Answers

The correct answer is 70

plz hurry due today!
Write an equation of a line through the point (-4,-1) that is parallel to the line y= -3/4x + 4​

Answers

Answer:

y = -3/4x -4

Step-by-step explanation:

Parallel slope = -3/4

(-4,-1)

y - y1 = m(x - x1)

y + 1 = -3/4(x + 4)

y + 1 = -3/4x - 3

y = -3/4x -4

25 Points!!. $1.60 for 8 oz, (cheese)
What’s the unit price?

Answers

The unit price is $0.20 per ounce or $3.20 per pound.

-2x+2y=6 and 7x+4y=23

Answers

Let's solve this problem step-by-step:

Let's set:

  [tex]-2x + 2y = 6 -- equation 1\\7x+4y=23 -- equation 2[/tex]

(equation1) * 2

  [tex]-4x+4y=12--equation3[/tex]

(equation 2) - (equation 3)

  [tex]11x = 35\\x= \frac{11}{11}--equation4\\x=1[/tex]

Plug (equation4)'s value of 'x' into (equation1)

  [tex]-2(1} )+2y=6\\-2+2y =6 \\2y = 6+2 =8 \\y =4[/tex]

Thus x= 1 and y = 4

Let's check:

 [tex]-2(1 )+2(4)=6\\2 +4 =6\\6=6\\ \\7(1)+4(4) )=23\\7+16=23\\ 23 =23\\[/tex]

Answer: x = 1 and y= 4

Hope that helps!

the length of a rectangle is 1 more than 4 times the width. the perimeter is 92 in. what is the length and width.

Answers

Step-by-step explanation:

the 1st side length is 4x+1 if x is the width. 2(length)+2(width)=perimeter

2(4x+1)+2x=92

8x+2+2x=92

10x=90

x=9

width=x=9

length=4x+1=4(9)+1=37

Hope that helps :)

I give brainlest, please help.

Answers

the answer is, x=11

hope this helps!

HELPP MEEE!
7th gradeee

Find the circumference of the circle. Use 3.14 or 22/7 for TT. Round to the nearest tenth if necessary.

I’ll mark you brainliest!

Answers

47.1

the formula of circumference is 2×radius×pi.. so given=radius=7.5

pi=3.14

2×7.5×3.14=47.1


Please someone help with this math problem!!!!

Answers

So it would be that you are very beautiful!

On a day in the month of February the temperature in barrow Alaska is 221*f at the same time the temperature in northway Alaska is 213*f

Answers

Give the Full Question then I will solve it..

Help! I will mark brainliest

Answers

Answer:

[tex]4[/tex] x [tex]10^{6}[/tex]

Step-by-step explanation:

Answer:

4*10^6

Step-by-step explanation:

9. Find the value of x.

(look at the picture)

Answers

Answer:

use the fact that triangles only have room for 180 degrees inside, so all the angles must add up to 180, no more, no less. You can also jsut insert the options for x values until you find the right one(shouldnt take too long).

Step-by-step explanation:

Other Questions
Your program should include the following four functions:check_length - This function should accept a password to evaluate as a parameter and should return a score based on the length of the password. A password that is less than 8 characters long gets a length score of 1. If it is between 8 and 11 characters long (inclusive), it gets a length score of 2. A password that is 12 characters or longer gets a length score of 3.check_case - This function should accept a password to evaluate and return a case score of 1 or 2. If the letters in the password are all uppercase or all lowercase, the case score should be a 1. If there is a mix of uppercase or lowercase letters (or if there are no letters at all), it gets a case score of 2.check_content - This function should accept a password to evaluate and return a content score. If the characters are all alphabetic characters, the content score is 1. If the characters include any numeric digits (either all numeric or a mix of letters and digits), the content score is 2. If there are any other types of characters (such as punctuation symbols), the content score is 3.main - This function represents the main program. It accepts no parameters and returns no value. It contains the loop that allows the user to process as many passwords as desired. It function calls the other functions as needed, computing the overall score by adding up the scores produced by each function. All output should be printed in the main function.python please Help me lol please and thank you What is the sum (2 3i) + (-4-2i) ? What is the measure of angle A? Enter your answer as a decimal in the box. Round your final answer to the nearest hundredth. What is the velocity of a 24 kg object with 108 kg m/s of momentum?A) 3 m/sB) 4.5 m/sC) 6 m/sD) 84 m/s Why are sex-linked traits like hemophilia less common in females than males? A. Females would need to inherit two X chromosomes containing the recessive trait. B. Females would need to inherit one X chromosome containing the recessive trait. C. Females would need to inherit one Y chromosome containing the recessive trait. D. Females would need to inherit two Y chromosomes containing the recessive trait. If the government is not censoring, how are stories being censored? Which employee in the Business, Management, and Administration career cluster would most likely work in a cubicle?ReceptionistMail ClerkSales RepresentativeAccountant A removal of the predator populations from an ecosystem would most likely result in Mi es esposa de mi to short-term disability is a disability that lasts:0-3 months.0-12 months.1-2 weeks.12-24 months. 8,626 round to the nearest thousand? HELLLPPP MEEEEE PLSSSS BRANLIEST ANSWER WILL BE AWAREDED Prepare a report on how is solar energy used in scientific experiments. I need help due in a Hour help i don't know what to do please help Fallacies can includebandwagon appealstereotypingovergeneralizationall of the above The area of the parallelogram is___ cm2 Write in quadratic form f(x)=(x+2)^2 g Suppose the population 10-year cumulative incidence of prostate cancer among 70-year old men is 0.06. Further, suppose 260 men without prostate cancer, aged 50 years were randomly sampled and 13 of them developed prostate cancer within 10 years. Is there evidence at the 0.05 significance level to conclude that the cumulative incidence of prostate cancer among 50-year old men differs from that of 70-year old men Please help will give lot of points