The number of sides of two regular polygons are as 5:4 and the difference between their angles is 9°. Find the number of sides of the polygons,

Answers

Answer 1

Answer:

8 and 10.

Step-by-step explanation:

I am assuming the difference of 9° is between their interior angles.

The formula for the interior angle of a regular polygon is 180° - 360°/n, where n is the number of sides.

As the number of sides increase, the interior angle increases.

Therefore 180° - 360°/(5x) = 180° - 360°/(4x) + 9°.

180° - 360°/(5x) = 180° - 360°/(4x) + 9°

360°/(4x) = 360°/(5x) + 9°

90°/x = 72°/x + 9x°/x

=> 90° = 72° + 9x°

9x° = 18°

x = 2.

Hence the number of sides of the regular polygons are 8 and 10.


Related Questions

Set up an equation and solve for x
X
2x
3x
Equation

Answers

Step-by-step explanation:

x+2x+3x=180

6x=180

divide both sides by 6

x=30°

Charles’ law describes the relationship between the initial and final temperature and volume of a gas held at a constant pressure. [tex]\frac{v_{i} }{V_{f} }=\frac{t_{i} }{t_{f} }[/tex] A). Solve the equation for [tex]v_{f}[/tex] B). Solve the equation for [tex]t_{f}[/tex] Show Step by Step

Answers

Answer:

t= 12.433

Step-by-step explanation:

helpppp plssssss :(

Answers

You can tell b (y=mx+b) by the number it intersects on the y axis. So the line goes through 8 on the y axis. Therefore, we can eliminate D. The line is going to the left, so it’s negative, meaning we can eliminate C. The answer is A because the slope is -1/4.

Here is a list of numbers:
11, 19, 2, 7, 8, 1,9,9,16,1
State the median.

Answers

Median is defined as the middle number in a sorted list of numbers.

In your question there are two middle number so we have to add them together then divide.

(8+1/2) = 9/2 or 4.5

A band marches in the African American Day Parade in New York City. The band marches 800 meters every 15 minutes. At this rate, how many kilometers does the band march in 1 hour?

Answers

3.2 Kilometers


reasoning:

there are 1000 meters in a kilometer. If they march 800 meters in 15 minutes, in 60 minutes they will march 3200 meters (800x4) . You then divide 3200 by 1000 to get 3.2 kilometers

The band will march 3.2 kilometers at the same rate.

What are the ratio and proportion?

The ratio is the division of the two numbers.

For example, a/b, where a will be the numerator and b will be the denominator.

Proportion is the relation of a variable with another. It could be direct or inverse.

Given that,

800 meters for every 15 minutes

800 meters  ⇔ 15 minutes

Multiply 4 by both sides

3200 meters ⇔ 60 minutes

Now,

60 minutes = 1 hour

And,

Since 1000 meter = 1 kilometer ⇒ 3200 meter = 3.2 kilometer.

So,

1 hour ⇔ 3.2-kilometer.

Hence "The band will march 3.2 kilometers at the same rate".

For more information about ratio and proportion,

brainly.com/question/26974513

#SPJ2

(19) Larry can run a mile in 9 minutes. At the same pace, can he run 26 miles in 3
hours?

Answers

He would be able to run 26 miles in 3.9 hours with a 9 minute mile pace

Write g(x) in terms of f(x) after reflecting the graph of f(x) across the y-
axis. *

Answers

Answer:

g(x)=f(-x) , the dot on the x axis is negative so multiply it by a another negative to get a positive

are 18 and 2x like terms?

Answers

Answer:

no

Step-by-step explanation:

The sum of 4 consecutive odd integers is equal to zero. Write an equation to model the sentence.

Answers

Answer: X + (X + 2) + (X + 4) + (X + 6) = 0

Step-by-step explanation:

We were already given the sum of four consecutive integers. Consecutive means coming after another. Let's first define our first consecutive odd number as X. Since it says consecutive odd integers, there is a difference of 2   between two odd numbers. We keep on adding 2 to the value of X, since they asked for four consecutive odd integers, so we get the 4 values of X,  (X+2), (X+4), and (X+6). Once we put this in an equation, we get X + (X + 2) + (X + 4) + (X + 6) = 0.

The equation that models the sentence is :  x + (x + 2) + (x + 4) + + (x + 6)  = 0.

An odd number is a number that cannot be divided into half without any remainders. Examples of odd numbers are 1,3, 7, 11.

For example when 11 is divided in half, its value is 5.5

Consecutive odd numbers are odd numbers that follow each other. Examples are 1, 3, 5.

Consecutive odd numbers increase by 2

In order to model the sentence, let x represent the first odd number

Second odd number = x + 2

Third odd number = x + 4

Fourth odd number = x + 6

The equation is: x + (x + 2) + (x + 4) + + (x + 6)  = 0

To learn more about odd numbers, please check: https://brainly.com/question/20432427?referrer=searchResults

brody is working two summer jobs, making $10 per hour

Answers

thiis isnt specific but if hes working two summer jobs and making 10 per hour than Brody would be making less than min. wage

This isn’t a really helpful description but if he’s working two summer jobs he should be making about five dollars per both jobs so he’s making minimum-wage on both jobs

HELP ME ANSWER THIS PLZ!!!!!!

Answers

Answer:

25% off $60 = $15

15% off $60 = $9 - 10%= $0.90

Step-by-step explanation:

$60 divided by 4= 25 x 4 = 100 is the whole number

need help I really need help WILL MARK BRANLEST

Answers

By definition, the absolute value of a constant is the distance from that number to zero, regardless of it's negative or positive coefficient.

The distance from -38 to 0 is 38, meaning that the absolute value is 38.

Hope this helps.

頑張って!

Answer:

38

Step-by-step explanation:

The absolute value of a number may be thought of as its distance from zero along real number line. which means - 38 is 38 times away from 0

Pls help work due in 10 min What is 0.000005 in scientific notation

Answers

Answer:

5 × 10 ^ -6

to get the answer move the decimal in 0.000005 to 5 which 6 place forward

which can also be written as 5 × 10 ^ -6

hope it helps

5×10- 6

Step-by-step explanation:

because we are converting decimal into scientific notation

Nick went on a bike ride to the store 5 miles away. If it took Nick of an hour to get there and ſof an
hour to get back, what was his average rate of speed (miles per hour) for the entire trip?
(Hint: To find the average, divide the total distance by the total duration.)

Answers

s = d/t
nick avg speed = s = 10/(1/5 + 2/5)
s = 10/(3/5)
s = (10*5)/3
s = 50/3
s = 16.6666666
---
answer:
s = 16.67 mph

Answer:

11.1

Step-by-step explanation:

Mane and Seth are working on a lab activity where they are tracking some leaves that are
floating past them in a rain runoff channel near their home. They have to measure how far the
leaves travel in different amounts of time. They place a long tape measure along side of the
runoff channel to measure distance A borrowed stopwatch will let them record the amount of
time. They plan to have time intervals that begin at two seconds, and increase by two's until
they get to 20 seconds. The data they recorded is below.
Which is the independent and which is the dependent variable

Answers

Answer:

Independent = time intervals

Dependant = how far the leaves travel

Step-by-step explanation:

independent = what you change

dependent = what you measure

Answer

a tape measure

Step-by-step explanation:

Lorie is using long division to find the quotient of 13 + 6r2 + 5 and 12 + 1 – 1, as shown.
41
+ 5 –
12 + - 1
I2 + 1 - 1) 1 3 + 612 + 0.1 + 5
(13 + 12 – 1
-
5.12 + I + 5
(5.12 + 51 – 5)
-4r + 0
What mistake did Lorie make?
ОА
She combined the constants incorrectly in the last step.
OB.
The last term in the quotient has an incorrect denominator.
ОС. .
She added an extra term to the dividend.
OD.
second term in the quotient should be 7.

Answers

Answer: she combined the constants incorrectly in the last step.... i just got it right on the test

Answer:look at the step by step explanation for answer

Step-by-step explanation:

Which relationship is always true for the angles x, y, and z of triangle MNP?

Answers

Answer:

Step-by-step explanation:

In every triangle, all the measures of the angles combined is 180 degrees.

So x + y + z = 180 degrees

Answer:

180 dg

Step-by-step explanation:

what numbers are needed for: _*(_+_)/_=6

Answers

Answer:

4(1+2)/2 = 6

Step-by-step explanation:

Think about multiples of 6 (I thought of 12)

"Think 'What' x 'what' will make the lowest multiple of 6"

the answer would be 4(1+2)/2=6

I
The sum of a number and 9.4

Answers


Given
N = number
9.4

Since it says sum, that means we have to add
N + 9.4

The sum of x and 9.4 will be x + 9.4.

What is the arithmetic operator?

Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,

Summation = addition of two or more numbers or variable

For example = 2 + 8 + 9

Subtraction = Minus of any two or more numbers with each other called subtraction.

For example = 4 - 8

Division = divide any two numbers or variable called division.

For example 4/8

Multiplication = to multiply any two or more numbers or variables called multiplication.

For example 5 × 7.

Let's say that number is x

Saying sum x with 9.4 means we need to add x and 9.4

So,

⇒ x + 9.4

Hence "The sum of x and 9.4 will be x + 9.4".

To learn more about the arithmetic operators,

brainly.com/question/25834626

#SPJ2

A train travels at a constant rate. If the train travels 496 miles in
8 hours, how many miles does the train travel in 1 hour?

Answers

Answer:

It is 62 miles.

Step-by-step explanation:

Hope this helps! :)

Answer:

62miles in one hour

Step-by-step explanation:

First, you have to identify your miles and you hour.

496 miles in 8 hours.

This automatically implies division because we want to know how far the train goes in 1 hour

Divide 496 by 8

Answer is 62 miles in one hour.

The Johnson family is going to build a new home. They need to have working drawings of their house plans created by a design firm. They will choose between Rock the House Digital Designs and Elegant Home Architects. Rock the House Digital Designs charges $500.00 for the initial consultation with the Johnson family, plus $50.00 for every additional hour of work for the house plans. Elegant Home Architects charge $75.00 per hour for the house plans. Let ℎ represent the number of hours for which the Johnson family hires the design firm. Which of the following statements are true? Select all that apply.The Johnson family is going to build a new home. They need to have working drawings of their house plans created by a design firm. They will choose between Rock the House Digital Designs and Elegant Home Architects. Rock the House Digital Designs charges $500.00 for the initial consultation with the Johnson family, plus $50.00 for every additional hour of work for the house plans. Elegant Home Architects charge $75.00 per hour for the house plans. Let ℎ represent the number of hours for which the Johnson family hires the design firm. Which of the following statements are true? Select all that apply. -The expression 50ℎ represents the total charge for Rock the House Digital Designs. -The expression 75ℎ represents the total charge for Elegance Home Architects. -The cost for using Rock the House Digital Designs for an initial consultation only is $550. -If the Johnson family hires the design firm for 15 hours, then Elegance Home Architects will be cheaper. -If the Johnson family hires the design firm for 40 hours, then Rock the House Digital Designs will be cheaper.

Answers

Answer:

The expression 75ℎ represents the total charge for Elegance Home Architects.

If the Johnson family hires the design firm for 15 hours, then Elegance Home Architects will be cheaper.

If the Johnson family hires the design firm for 40 hours, then Rock the House Digital Designs will be cheaper.

Step-by-step explanation:

Given the following :

Rock the house digital designs :

Initial consultation charge = $500

Additional hour of work for house plan = $50 /hr

Elegant Home Architect:

Charge = $75 / hr

h = number of hours fro which Johnson's family hires the design firm

Total amount charged by Elegant home Architect = 75 × h = 75h

Total amount charged by Rock the house digital design = (500 + 50h)

If h = 15 hours :

Total amount charged by Elegant home Architect = 75 × 15 = $1,125

Total amount charged by Rock the house digital design = (500 + 50(15)) = 500 + 750 = $1,250

Hence, Elegant home Architect is cheaper.

If h = 40 hours :

Total amount charged by Elegant home Architect = 75 × 40 = $3,000

Total amount charged by Rock the house digital design = (500 + 50(40)) = 500 + 2000 = $2,500

Hence, Rock the house digital design is cheaper.

not sure how to complete this, info is in the photo.

Answers

The answers are...
1. 4
2. 7
3. 17

Nathan read a total of 630 pages over 30 hours. In all, how many hours of reading will Nathan have to do this week in order to have read a total of 714 pages? Solve using unit rates.

Answers

Answer:

34 hours

Step-by-step explanation:

Given that,

Nathan read a total of 630 pages over 30 hours.

We need to find times of reading will Nathan have to do this week in order to have read a total of 714 pages.

1 page can be read in [tex]\dfrac{30}{630}\ \text{hours}[/tex]

To read 714 pages, it will take

[tex]\dfrac{30}{630}\times 714\ \text{hours}\\\\=34\ \text{hours}[/tex]

Hence, it will take 34 hours to read 714 pages.

How many solutions can be found for the equation 3x − 2 = 3x + 5?

Zero
One
Two
Infinitely Many

Answers

the answer is choice 3. Two solutions

Answer:

Zero

Step-by-step explanation:

because there is no value for the variable that could make the equation work.

Hope this helped!!

btw this was right in the FLVS test.

oweikeme has 2500 Naira and bought the following items from the bookshop: 60 ballpoint pens at 15 Naira each, two dozen of exercise books at 5 Naira each,8 drawing books at 80 Kobo each how much has he have left​

Answers

Answer:

1480

Step-by-step explanation:

60x15=900

24x5=120

there is no mention of qweikeme having any kobo

What is 0.16666666666666666 as a fraction?

Answers

Answer:

[tex]\frac{1}{6}[/tex]

Step-by-step explanation:

We require to create 2 equations with the repeating 6 placed after the decimal point. Then subtracting the equations eliminates the repeating part.

let x = 0.1666....... ( multiply both sides by 10 and 100 )

10x = 1.666...... → (1)

100x = 16.666...... → (2)

Subtract (1) from (2) to eliminate the repeating decimal, thus

90x = 15 ( divide both sides by 90 )

x = [tex]\frac{15}{90}[/tex] = [tex]\frac{1}{6}[/tex]

Thus

0.16666......... = [tex]\frac{1}{6}[/tex]

-2a>6, then a is what?

Answers

Answer: a < -3

Step-by-step explanation:

-2a > 6    Divide both sides by -2 and remember if you divide both sides  of an inequality by a negative number the sign switches.

-2a > 6  

a < -3

Answer:

a < -3

Step-by-step explanation:

It less than -3

Cheryl has $56 and wants to buy as many notebooks as she can to donate to her school. If each notebook costs $1.60,
which inequality shows n, the maximum number of notebooks she can buy with her money?
1.672 56
O 1.6n s56
56931.6
O 56n2 1.6

Answers

Answer:

1.6n [tex]\leq[/tex] 56

Step-by-step explanation:

1.6n [tex]\leq[/tex] 56

This states,

'$1.60 per notebook, but use up to 56 dollars.'

A bag contains 4 red marbles, 5 blue marbles, 6 yellow marbles, and 7 green marbles; Jonathan randomly grabs one marble, puts it back then draws a second marble. What is the probability that the first marble was red, and the second marble was green?

Answers

p ( first marble red ) = 4/22

p ( second marble green ) = 7/22

Since total number of marbles r 22, then the denominator is 22 also. When Jonathan puts back the red marble aft the first round, this means with replacement so there's no change in denominator for the second round.

A calculus exam that was taken by 94 students is recorded and normally distributed. The mean score on the exam is 78 and the standard deviation is 2.4. What percent of the scores are in the 70.8 and 85.2 range?

Answers

Answer:

99.73%

Step-by-step explanation:

If you have a calculator with distribution functions, this problem boils down to using a single command:

norm(70.8, 85.2, 78, 2.4) = 0.9973

This tells us that 99.73% of the scores are in the 70.8-85.2 range.

Other Questions
Fill in the blank with the answer that best completes the sentence. Hoy es viernes. Maana es _____. sbado domingo jueves martes if you run for 4 hours at 8miles an hour and walk 8 hours at 2 miles an hour, how far will you you have gone at the end of 12 hours? advantage and disadvantage of road accident fund Do you think celebrities should stay out the office? Why or why not? can some one give me a summary thats a paragraph long about friendship When using websites to research a topic, which domain tags indicate the most credible sources? Select three options. .com .edu .gov .net .org Does anyone know? If you do please answer. A biological community together with its physical habitat constitutes a(n) ____________ . BRAINLY I NEED HELP ASAPPPP!!After game 6, her mean number of points scored per game is 9.How many points did Maya score in game 6?A. 4B. 8C. 9D. 10 Irene's grandfather arrived in Sydney from Athens at 10 pm on Friday after a 25-hour trip. The flight began at 12 noon on Thursday, Athens time. What is the time difference between Athens and Sydney? A singing style that features a leader who is imitated by a group is called a. crossover. b. call and response. c. thematic development. d. ostinato. Express the given expanded numeral as a Hindu-Arabic numeral.(1x 10-1) + (4x10-2) + (9x10-3) + (7x10-4)(1x 10-1) + (4x10-2) + (9x10 -3) + (7x10-4)=Type an integer or a decimal.) Is a virus a living organism? Why? A post is put every 6 feet along a fence around a rectangular field that is 42 feet long and 36 feet wide. What is the total number of feet around the field? * _________________________ was the Egyptian ruler of the realm of the dead, and was married to his sister-wife Isis, his brother Set also killed him. Determining which type of research method to use in a study is an important part of developing a research question in thescientific method.Please select the best answer from the choices providedrue or False Solve the formula for the specified variable A= P+Prt for r According to this process diagram, which event occurred first?Ottoman Empire weakened.Greece won independence.Egypt won self-rule.Nationalist movements occurred across the Ottoman Empire. What were the recommendations after the outbreak? why do you think these recommendations were made? What are the types of borders?