A square has a side length of x + 3. A regular octagon has a side length of 3x. If the polygons have the same perimeter, determine the value of x.

Answers

Answer 1

Answer:

x = ⅗ = 0.6

Step-by-step explanation:

A square has four equal sides.

If a square has a side length of [tex] x + 3 [/tex], therefore,

Perimeter of the square = [tex] 4(x + 3) [/tex]

[tex] = 4x + 12 [/tex].

Also, a regular octagon has 8 equal sides.

If it has a side length of 3x, therefore:

Perimeter of the octagon = [tex] 8(3x) [/tex]

= [tex] 24x [/tex]

Given that the Perimeter of the rectangle and the octagon are the same, to find the value of x, set each perimeter equal to the other.

Thus:

[tex] 24x = 4x + 12 [/tex]

Subtract 4x from each side

[tex] 24x - 4x = 12 [/tex]

[tex] 20x = 12 [/tex]

Divide both sides by 20

x = 12/20 = ⅗ = 0.6.


Related Questions

a number x more than −13 as an expression

Answers

Answer:

x > -13

General Formulas and Concepts:

Algebra I

Writing expressions

Step-by-step explanation:

Step 1: Translate

"a number x" = s

"more than" is >

"-13" = -13

Step 2: Combine

x > -13

And we have our final answer!

What is the solution to the equation 3x + 2(x - 9) = 8x + x - 14?

A.-8

B.-1

C.1

D.8

Answers

b. -1

hope it helps you out

Answer:

B.) -1

Step-by-step explanation:

Here, 3x + 2(x - 9) = 8x + x - 14 is given

Now, we will solve and we get,

3x + 2(x - 9) = 8x + x - 14

3x + 2x - 18 = 9x - 14

5x - 9x = 18 - 14

-4x = 4

4x = -4

x = -4÷4

x = -1

Thus, The value of x is -1

Hence, Option B is correct

-TheUnknownScientist

Which equation represents a line that has a slope of 3/4 and passes through the point (2;1)?
A;3y = 4x - 5
B;4y=3x - 2
C4y= 3x+5

Answers

Answer:

B

Step-by-step explanation:

m = 3/4

x1 = 2

y1 = 1

Using the formula,

y - y1 = m(x - x1)

y - 1 = 3/4(x - 2)

y - 1 = 3x/4 - 3/2

y = 3x/4 -3/2 + 1

y = 3x/4 - 1/2 (×4)

4y = 3x - 2

Therefore, the answer is B

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

The equation of the line that passes through (2, 1) and 3/4 as its slope.

4y = 3x - 2

Option B is the correct answer.

What is an equation of a line?

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

Slope = 3/4

m = 3/4

The point that passes through = (2, 1)

Now,

The equation of the line is y = mx + c.

y = (3/4)x + c

We will take (2, 1) = (x, y) since it passes through the line.

1 = (3/4)2 + c

1 = 3/2 + c

c = 1 - 3/2

c = -1/2

Now,

The equation of the line that passes through (2, 1) and 3/4 as its slope.

y = (3/4)x -1/2

y = (3x - 2)/4

4y = 3x - 2

Thus,

The equation of the line that passes through (2, 1) and 3/4 as its slope.

4y = 3x - 2

Option B is the correct answer.

Learn more about equation of a line here:

https://brainly.com/question/23087740

#SPJ2

Give an example of how you use positive and negative numbers, and explain the meaning of 0 in your example.

please help me

Answers

Answer:

Meanings of the numbers:

Most numbers represent an amount. Positive numbers represent above zero. Zero is the only number that does not represent an amount. It means nothing. When you go lower than nothing, you are in the negative numbers. Negative numbers represent absent values pretty much.

How I would use them in every day life:

I would use positive numbers to represent... maybe something I'm trying to get at a store. Ex: 4 bananas

I would use negative numbers to... maybe look at the temperature. Ex: -16 degrees Fahrenheit. Negative numbers are in temperature all the time.

Hope this helps! (^-^)

Researchers randomly choose two groups from 15 volunteers. Over a period of 9 weeks, one group watches television before going to sleep, and the other does not. Volunteers wear monitoring devices while sleeping, and researchers record dream activity. Which type of study method is described in each situation? Group of answer choices a) observational study b) controlled experiment c) survey

Answers

Answer: B. Controlled experiment

Step-by-step explanation:

This is a controlled experiment because the variables in the question are manipulated by the researcher. We are told that while one group watches television before going to sleep, the other group does not.

The controllers won't have control over the variables that were used if it was an observational study while for a survey, it has to do with collection of information regarding certain topics or happenings in order to have people's perception on the topic or area of interest.

Given f(x) = 5x - 3 , solve for when f(x) = 7

Answers

Answer:

32

Step-by-step explanation:

f(x) = 7, so:

5 · 7 - 3= 35 - 3 = 32

Answer:

x = 2

Step-by-step explanation:

f(x) = 5x - 3    

7 = 5x - 3

10 = 5x

2 = x

So, x = 2

Students make 97.5 ounces of liquid soap for a craft fair. They put the soap in ​7.5-ounce bottles and sell each bottle for $5.50​$. How much do the students earn if they sell all the bottles of liquid​ soap? Explain.

Answers

Answer:$71.50

Step-by-step explanation:

Hello!

So first you want to find out how many bottles of soap you can make

To do that you want to divide how many ounces you have by how many ounces it takes to make 1 bottle

97.5 / 7.5 = 13

So you know you can make 13 bottles of soap

So now you want to multiply the number of bottles of soap that can be made by the amount of money you can make per bottle

13 * 5.50 = 71.50

So you know that the students can make $71.50

WILL MARK BRAINIEST IF YOU ANSWER CORRECT. BUT HELPPPP!Consider the functions ƒ(x) = 6x – 5 and g(x) = 6x + 3. Which statement compares the relationship between the graphs of the two functions?

Answers

Answer:

D)  The graph of g(x) is the same as the graph of ƒ(x) translated up 8 units

Step-by-step explanation:

Given functions

ƒ(x) = 6x – 5 and g(x) = 6x + 3

We can see the slopes are same, g(x) = f(x) + 8

Answer:

D

Step-by-step explanation:

F.y=6x-5

G y=6x+3

IM DONE WITH THIS STUPID THING 50 POINTS TO THE PERSON WHO GETS IT ALL CORRECT.

Answers

i underlined the numbers you needed

answer question bellow!!!

Answers

The answer to your question is false

. The equation = can be used to find how many hours h a person needs to work to earn $200 at $8 per hour. How many hours does a person need to work to earn $200?

Answers

Answer:

0.04 h

Step-by-step explanation:

The given equation is :

8h=200

It is used to find hours h a person needs to work to earn $200 at $8 per hour.

We need to find no of hours does a person need to work to earn $200. It can be calculated as follows :

[tex]\dfrac{8h}{200}=\dfrac{200}{200}\\\\h = 0.04\ h[/tex]

So, for $200, the person will need 0.04 h.

In ΔBCD, the measure of ∠D=90°, DC = 12, BD = 35, and CB = 37. What is the value of the tangent of ∠B to the nearest hundredth?

Answers

Answer:

0.34

Step-by-step explanation:

Hey I need help with my math work​

Answers

Step-by-step explanation:

what is the question?????

Answer:

Where is the question???

Step-by-step explanation:

What is the Lcm of 168?

Answers

Answer:

6

Step-by-step explanation:

What is x in this question ax=12

Answers

if there no other info given to you then I guess the answer would be x = 2 since (a) would equal 6?

9514 1404 393

Answer:

  x = 12/a

Step-by-step explanation:

To find the value of x, divide both sides of the equation by its coefficient.

  ax = 12

  (ax)/a = 12/a

  x = 12/a

why is the set {(3,6), (4,8), (5,10), (3,1), (6,12), (7,10)} NOT a function

Answers

Answer:

There are two 3s for the imputs (3,6) (3,1)

Step-by-step explanation:

There can only be one output for every input

what is the square root of 3

Answers

Answer:

1.732058

Step-by-step explanation:

Hope this helps

If 8 containers of cold brew coffee cost $24.80, what is the constant of proportionality?

Answers

Answer:

3.1

Step-by-step explanation:

Ms. Dangerfield wants to order 980 erasers for her class for the whole school year. Amazon is selling a bag of 250 erasers for a great price! How many bags of erasers should Ms.Dangerfield buy to have enough for her class this school year? You can use a number line to help you solve.

Answers

Answer:

4 packages

Step-by-step explanation:

We have to do 980/250.

So after you get that, you would get 3.92. It would not make sense to get 3.92 packages since that isn't possible on Amazon using common sense. Therefore we must round 3.92 to 4 packages.

Answer:

Ms.Dangerfeild should order 4 bags

Step-by-step explanation:

250 times 4 is 1000 so Ms.Dangerfeild will have 20 extra erasers.

HELP ME WHAT IS THE ANSWER FOR Divide 758,908 ÷ 72 and indicate the remainder, if any. Use long division.

Answers

Answer:

10540.3888889

Step-by-step explanation:

May I have brainliest please? :)

What is the greatest common factor of 14, 51 ,21

Answers

Answer:

The answer is 1

Step-by-step explanation:

14 = 2 × 7

51 = 3 × 17

21 = 3 × 7


If
you borrow $500 at 5% for two years, how much will you pay back by the end of the term?

Answers

Answer:

Your estimated monthly payments are $22 and you will pay $26 in interest over the life of the loan.

Step-by-step explanation:

The sum of two angles is 180 degrees. Their difference is 70
degrees.
What is the measure of the smaller angle?

Answers

Step-by-step explanation:

x+y=180

x=180-y------(i)

x-y=70------(ii)

Now,

Putting the value of x in equation (ii)

x-y=70

(180-y)-y=70

180+2y=70

2y=70-180

2y= - 110

y= - 110/2

y= - 55

Again,

x=180-(-55)

x=235

x-y=70

x-(-55)=70

x+55=70

x=70-55

x=15

Determine the value of angle ECB


Please help me out!

Answers

Answer: ∠ECB = 60°

Step-by-step explanation:

First, find the value of x by adding them up.

x + 3x + 2x = 6x

Since we know that all of the angles create a 180° angle, we can set up a proportion.

6x = 180°

To find the value of x, divide both sides by 6.

6x ÷ 6 = x

180 ÷ 6 = 30

So now the proportion is x = 30.

Now that we now x = 30, we can plug in 30 to the angle measures.

∠DCA = 30°

∠DCE = 90°

∠ECB = 60°

So angle ECB is 60°.

hope this helps!

(-11)+(-11) i will give brainllest

Answers

Answer:

the answer is -22

Step-by-step explanation

2 The value of y is directly proportional
to the value of x.
If y = 35 when x = 140, what is the
value of y when x=70

Answers

Answer:

y = 17.5

Step-by-step explanation:

Given that y is directly proportional to x then the equation relating them is

y = kx ← k is the constant of proportion

To find k use the condition y = 35 when x = 140, then

35 = 140k ( divide both sides by 140 )

0.25 = k

y = 0.25x ← equation of proportion

When x = 70, then

y = 0.25 × 70 = 17.5

5 5/6 + (-1/6) + 2 2/3 + (-2 2/3)

Answers

Answer:

5.66666666667

Step-by-step explanation:

Answer is 6.66666666666667

What is the least possible value of x if x^2 + 21 = 30

Answers

Answer:

Least possible value of x is 3

Step-by-step explanation:

Given:

x² + 21 = 30

Find:

Value of x

Computation:

x² + 21 = 30

x² = 30 - 21

x² = 9

x = √9

x = 3

Least possible value of x is 3

what expression does the model show
i will give brainliest
help asap

Answers

3 x -4

Hope that helps

You know whats weird lol?
Im about to be 14 in january right, and i already have a job. I work 7 days a week.
And my sister is 16, she doesnt have a job or do anything..
chile-

Answers

Answer:

wow

Step-by-step explanation:

You earnin monnnnnneyyyyyyyyy!!!!!!!!!!!!!!!!!!!

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