Find the value of x, then the perimeter of the regular polygon.

I have attached the image that shows the ploygon.

Find The Value Of X, Then The Perimeter Of The Regular Polygon. I Have Attached The Image That Shows

Answers

Answer 1

Answer:

x = 3

perimeter: 18 units

Step-by-step explanation:

1. First, we should know that a regular polygon is a polygon that has all angles  the same angle measure and all sides the same side length.

For example, an equilateral triangle is a regular polygon because all angles are 60 degrees and all sides are the same length.This means that for the polygon in the image, 5(x+2) = 7x + 4

2. (Solving)

Step 1: Simplify both sides of the equation.

[tex](5)(x)+(5)(2)=7x+4[/tex] [tex]5x + 10 = 7x + 4[/tex]

Step 2: Subtract 7x from both sides.

[tex]5x + 10 - 7x = 7x + 4 - 7x[/tex] [tex]-2x + 10 = 4[/tex]

Step 3: Subtract 10 from both sides.

[tex]-2x + 10 - 10 = 4 - 10[/tex] [tex]-2x = -6[/tex]

Step 4: Divide both sides by -2.

[tex]\frac{-2x}{-2} = \frac{-6}{-2}[/tex] [tex]x = 3[/tex]

Step 5: Check if solution is correct.

[tex]5(3+2)=7(3)+4[/tex] [tex]5(5)=21+4[/tex] [tex]25 = 25[/tex]

3. Now, since this polygon has 6 sides, it's a hexagon. To find the perimeter of a hexagon, we just multiply the length of one side 6 times.

[tex]3(6)[/tex] [tex]18[/tex]

Therefore, x = 3 and the perimeter is 18 units.


Related Questions

Mike is going to have to wait for 5
more minutes in order for the factory to
be at lunch so he can put Boo back.
What percentage of time out of an hour
does he have to wait

Answers

Answer:

12%

Step-by-step explanation:

if you divide 5 from 1 hour which is 60 min you get 12 and convert that to percent and you get 12%

The difference between 1/3 of a certain number and 1/4 of the same number is 3. what is that number?

Answers

Answer:

36

Step-by-step explanation:

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

multiply by 12 to clear the fraction

4x - 3x = 36

x = 36

I basically just have to find the angles but I also want to understand so if you could explain?

Answers

9514 1404 393

Answer:

  c = 108°

  d = 106°

Step-by-step explanation:

There are 2 basic rules involved here. From them, a number of others can be derived in order to simplify some calculations.

angles forming a linear pair are supplementary (total 180°)interior angles of a triangle total 180°

The derived relations we can use in this problem are ...

vertical angles are congruentan exterior angle of a triangle is equal to the sum of the opposite interior angles

__

c

The vertical angle to 78° is one of two remote interior angles with respect to exterior angle c. The other is the one marked 30°. That means ...

  c = 78° +30* = 108°

__

d

Angles d and 30° are two of the three angles in the largest triangle. The third is the vertical angle to 44°, so it is 44°. The sum of angles in that triangle is 180°:

  d + 30° +44° = 180°

  d = 180° -74° = 106°

help ur friend out would ya mate?

Answers

Answer:

49

Step-by-step explanation:

multiply them by 7

21 = w —28

w = 28 + 21

w = 49

the answer to the problem you are doing is 40.

simplify 3(3x_2y)_(4x_6y)


Answers

Answer:

5x

Step-by-step explanation:

I think the problem was.  

3(3x - 2y) - (4x - 6y)

9x - 6y - 4x + 6y

5x

can someone help me please

Answers

Answer:

#5) Its line “k”

Well to solve this you need to know what negative slopes are.

They decrease from height from left to right

And also a slope is always calculated like this

rise -> run

Think of it like a bed.

You have to wake up which means you have to rise and then you run to do whatever it is you gotta do.

Rise is going vertical and run is going horizontal.

So for line K you have it because since its negative its -3/1 so technically its -3 rise(basically fall since its negative), 1 run (right).

#6) 1/2  is the slope of line N. Or (c)

Well n is a potsive slope so we can automatically remove a and b.

And we can count like this, it started from the orgin it looks like (but you can use any given point really) and then just follow it, rise 1 and run 2. Rise 2 and run 3 doesn’t work so it has to be 1.2 or (c)

One year after you buy a tree, it is 10 feet tall. Each year after you buy the tree, it grows 2 feet. Write a linear model that represents the growth of the tree. How long does it take for the tree to reach its maximum height of 28 feet?

Answers

It takes 9 years for it to fully grow if you start from the first year.

Hannah was asked to make d the subject of the formula
d-7=4d+3/e
Finish her question.

Answers

Answer:

[tex]d = \frac{-1}{e} - \frac{7}{3}[/tex]

Step-by-step explanation:

In order to make d the subject of the formula, you need to isolate it.

- You started with d-7 = 4d + 3/e

- Move 4d to the left side by subtracting 4d from both sides to cancel it from the right so you have...

d - 7 = 4d + 3/e              This will leave you left with -3d - 7 = 3/e

-4d     -4d                          

- Then move over the -7 by adding 7 to both sides...

-3d - 7 = 3/e              This will leave you left with -3d = 3/e + 7

     +7          +7

- Finally to get d by itself divide both sides of the equation by -3 and you'll be left with...

[tex]d = \frac{3}{-3e} -\frac{7}{3}[/tex]

- You can cancel out the 3 in the -3/3e and make it -1/e so your final answer will be

[tex]d = \frac{-1}{e} - \frac{7}{3}[/tex]

the answer gzzydyyxggxggxxghyzyxycycgcycyc

Answers

Step-by-step explanation:

we start with the first and the third equations, as they have the same content structure.

we multiply the whole first equation by 2, so that the z terms become aligned, and then we add both equations :

-8x + 4z = 28

-2x - 4z = 22

--------------------

-10x + 0 = 50

x = -5

-2x - 4z = 22

-2×-5 - 4z = 22

10 - 4z = 22

-4z = 12

z = -3

y = x + z + 12

y = -5 - 3 + 12 = 4

Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease.

please help i dont know if its a growth or decay factor or what percentage its going up by

Answers

Answer:

Check my notes

Step-by-step explanation:

I made note of this last year

poor word choice i need explanation

Answers

Answer:

Huh?

Whats the question?

An act or judgment that is misguided or wrong. bad choice. error.

which expession represents the product of 3 and 7

Answers

3 × 7

i took the test

The radius of a circle is 20 cm. Find its area in terms of π π.

Answers

Answer:

A = [tex]400\pi cm^2[/tex]

Step-by-step explanation:

Area of a circle is:

A = πr²

We are given a radius of 20 cm.

A = πr²

A = π(20)²

A = π400

A = 400πcm²

Hope this helps.

Giúp mình giải với mọi người. Cẩm ơn rất nhiều

Answers

Answer:

B. 4√5

Step-by-step explanation:

x bằng căn bậc hai của (8^2 + 4^2) theo định lý pytago, trong tam giác vuôn, c^2 = a^2 + b^2

help me pls tell methe answer

Answers

x/3

Hope this helped uou, have a good day bro cya)

i need to know which object is moving faster

Answers

Answer:

B

Step-by-step explanation:

It has a not as steep incline

Help me please I really need it

Answers

Answer:

B. 2^9.

Step-by-step explanation:

2^6 * 2^3

= 2^(6+3)

= 2^9.

Stephan is having a fundraising and decides to sell some candy. He bought the box for $20, and
charges $0.50 per candy that he sells. How many does he need to sell in order to make a profit?

Answers

Answer: he would need to sell at least 41 candies to make a profit

Examine this set of ordered pairs. (2,5) (8,9) (11,6) (18,2) (7,9) Is the set of ordered pairs a function? Choose the answer that's entirely correct.

(A) The set of ordered pairs is a function, because each input has exactly one output.


(B) The set of ordered pairs is not a function, because the output 9 has two different input values.


(C)The set of ordered pairs is a function, because each output has exactly one input.

(D) The set of ordered pairs is not a function, because the number 2 is both an input and an output.

Answers

A, each input is paired with exactly one output, meaning each x value is paired with exactly one y value

Answer: A

Step-by-step explanation:

as long as the x-coordinates are all different numbers then it is a function.

Mark is a plumber. He charges $28 per job plus S20 per hour. If the
total labor bill for a job was $58, how many hours did Mark work?

Answers

Answer:

He worked 1.5 hours

Step-by-step explanation:

58-28= 30

30/20 per hour

1.5

how did the Iraq war impact the united states

Answers

Answer: the Iraq war drained Billions of US dollars, putting us into debt we're still trying to get ourselves out of.  and it was also one of the bloodiest wars with 4,500 American troops killed. saddam Hussain was also captured and convicted of war crimes.

Step-by-step explanation:

The Iraq war drained Billions of US dollars, putting us into debt we're still trying to get ourselves out of.  and it was also one of the bloodiest wars with 4,500 American troops killed. saddam Hussain was also captured and convicted of war crimes.

We know that,

A Gallup poll made on behalf of CNN and USA Today concluded that 79% of Americans thought the Iraq War was justified, with or without conclusive evidence of illegal weapons. 19% thought weapons were needed to justify the war.

Under these assumptions, oil price increases from 2003-2008 due to the Iraq war reduced total U.S. income GDP by a total of approximately $274 billion, a direct transfer of about $124 billion and a further GDP effect of $150 billion.

learn more on Iraq war click:

https://brainly.com/question/16244993

#SPJ2

please the answer and how i should write it

Answers

Answer:

86,400,000 bacteria

Step-by-step explanation:

2^5=32, 3^3=27, 10^5=100,000

32*27*100,000

Answer:

There are 86400000 bacteria in the Petri dish.

Step-by-step explanation:

Write in standard form:

[tex]2^{5}[/tex] = 2 x 2 x 2 x 2 x 2 = 32

[tex]3^{3}[/tex] = 3 x 3 x 3 = 27

[tex]10^{5}[/tex] = 10 x 10 x 10 x 10 x 10 = 100000

32 x 27 x 100000

= 86400000

hope this helps and is right!! p.s. i really need brainliest :)

Is the expression a polynomial? If yes, write in standardform, if not state why not
1.
[tex]\frac{2x+3}{x^{2} }[/tex]

2.
[tex]2x+5x^{2} -99[/tex]

3.
[tex](\sqrt{8x^{3}}) +2x^{4}+2+x[/tex]

4.
[tex]15x+4x^{-2}[/tex]

5.
[tex]-3x^{4} +7x+12x^{2}[/tex]

Answers

Answer:

Step-by-step explanation:

1) Not a polynomial. Because x² is in the denominator.

2) Yes, it is a polynomial.

Standard form: 5x² + 2x - 99

3) Not a polynomial.

[tex]\sqrt{8x^{3}} = (8x^{3})^{\frac{1}{2}} = 8^{\frac{1}{2}}x^{\frac{3}{2}}[/tex] .

Power of x is a fraction. so , it is not a polynomial.

4) Power of x is (-2). Power of x should not be a negative integer. SO, it is not a polynomial.

5) Yes:

Standard form: -3x⁴ + 12x² + 7x

True or false: This system of equations has no solution.
y=4/32x+2 y=2/16x-1

Answers

True

as they are parallel, and they have different y-intercepts; they will never cross.

Thus, no solution exists

What is the slope of the line that passes through the points (2, −3.5) and (4, 5.5)?

A.9/2

B.1/3

C.2/9

Answers

Answer: the answer is c) hope this helps

Step-by-step explanation: please give brainliest

Answer:

A. 9/2

Step-by-step explanation:

Use formula m=([tex]y_{2} \\[/tex] -[tex]y_{1}[/tex])/([tex]x_{2}[/tex]-[tex]x_{1}[/tex])

(5.5-(-3.5))/ (4-2)

[tex]\frac{9}{2}[/tex]

The product of 0.4 and a number is 8.
Represent the statement as an equation. Use n for the variable. Determine the solution set using the replacement set .
how do you do that?

Answers

The equation that represents the statement is: 0.4n = 8

The value of variable n = 20

Recall:

Product represents multiplication.

Thus:

Product of 0.4 and a number (n) is translated as 0.4 x n

Therefore,

0.4 x n = 8

0.4n = 8

We need to find the value of the variable, n.

Solve for n by dividing both sides by 0.4.

[tex]n = \frac{8}{0.4} \\\\\mathbf{n = 20}[/tex]

Therefore, the number that is multiplied by 0.4 to give 8, is: n = 20

Learn more here:

https://brainly.com/question/17507982

Find next two terms. -162, -54, -18, ?, ?

Answers

Answer:

-6, -2

Step-by-step explanation:

-2 ×3 = -6

-6 ×3 = -18

-18 x3 = -54

-54 x3 = -162

50 POINTS PLZ HELP What is the common denominator (LCD) of 6 5/7 and 6 1/3?

Answers

Answer:

21

Step-by-step explanation:

Denominators of the fractions are 7 and 3, which are mutually prime numbers.

The LCD is the product of 7 and 3:

7*3 = 21

Simplify into mixed fraction

[tex]\\ \sf\longmapsto 6\dfrac{5}{7}=\dfrac{47}{7}[/tex]

[tex]\\ \sf\longmapsto 6\dfrac{1}{3}=\dfrac{19}{3}[/tex]

Find LCD

[tex]\\ \sf\longmapsto 7(3)[/tex]

[tex]\\ \sf\longmapsto 21[/tex]

Maureen is a lawyer who used to charge her clients $460 per hour. Maureen recently reconsidered her rates and ultimately decided to charge $414 per hour. What was the percent of decrease in the billing rate?

Answers

Answer:

10%

Step-by-step explanation:

460 - 414 is 46

Divide 46 by 460 to get 0.1

0.1 is equal to 10%

Are the figures below similar? Explain.
O A. Yes, there is a similarity transformation: translation, then rotation.
O
B. Yes, there is a similarity transformation: translation, then dilation.
O
C. No, there is not a similarity transformation between the figures.
O D. Yes, there is a similarity transformation: translation, rotation, then dilation.

Answers

Answer:C
Explain: Just think so
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