In a regular polygon each interior angle is 120 greater than each exterior angle. Calculate the number of sides of the polygon.
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Answer: -112/8=-14

Step-by-step explanation: Quotient means to divide.

Answer:

x = 8

Step-by-step explanation:

Factor:

7x - 3x = 4x

24 + 8 = 32

32 ÷ 4 = 8

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Double check:

56 - 24 - 8 = 24

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Have a great summer :)

Answer:

x = 33 / 4

Given :-

7x - 3x -9 = 24

We have to find

The value of x .

Step-by-step explanation:

Let's begin:-

7x - 3x -9 = 24

Step 1 :- Combine like terms.

4x - 9 = 24.

Step 2 :- Move constant to the right-hand and change their sign.

4x = 24 + 9.

Step 3 :- Add 24 and 9.

4x = 33

Step 4 :- Divide both side by 4.

4x / 4 = 33 / 4

Hence, x = 33 / 4

Answer:

take a break from social media , find a peaceful spot to study ,be engaged , take notes and listen during discussion make use of ur extra time wisely

hope it's helpful

Answer:

Part A)

Our system of equation is:

[tex]\displaystyle \begin{aligned} 2x+y&=25\\x+y&=20\end{aligned}[/tex]

Where x represent the amount of cheese wafers bought and y represent the amount of chocolate wafers bought.

Part B)

Mike and his friends bought five cheese wafers and 15 chocolate wafers.

Step-by-step explanation:

Let cheese wafers be represented by x and let chocolate wafers be represented by y.

Part A)

They spent a total of $25. Since each cheese wafer cost $2 and each chocolate wafer cost $1, we can write that:

[tex]2x+1y=25[/tex]

Or, simply:

[tex]2x+y=25[/tex]

They also purchased a total of 20 packets of wafers. Hence:

[tex]x+y=20[/tex]

Our system of equation is:

[tex]\displaystyle \begin{aligned} 2x+y&=25\\x+y&=20\end{aligned}[/tex]

Where x represent the amount of cheese wafers bought and y represent the amount of chocolate wafers bought.

Part B)

Since both equations have the same coefficient for y, we can use elimination. First, multiply the second equation by negative one:

[tex]-x-y=-20[/tex]

Add it to the first equation:

[tex](2x+y)+(-x-y)=(25)+(-20)[/tex]

Simplify:

[tex]x=5[/tex]

So, five cheese wafers were bought.

Using the second equation again, we can see that:

[tex](5)+y=20\Rightarrow y=15[/tex]

So, 15 chocolate wafers were bought.

Notes:

If we wanted to solve this using substitution, we can subtract x (or y, doesn't really matter) from both sides from either equation. Using the second equation, this yields:

[tex]y=20-x[/tex]

Substitute this into the first:

[tex]2x+(20-x)=25[/tex]

Simplify:

[tex]x=5[/tex]

And we will acquire the same answer:

[tex]y=20-(5)=15[/tex]

Answer:

Table N 4

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form y/x=ky/x=k or y=kxy=kx

Verify the table 4

For x=1, y=2

so

y/x=2/1=2

For x=2, y=4

so

y/x=4/2=2

For x=3, y=6

so

y/x=6/3=2

therefore

The constant of proportionality k is equal to 2 and the equation is equal to

y=2x

The table 4 represent a direct variation, therefore is a possible ratio table for ingredients X and Y

Answer:

160 [tex]cm^{3}[/tex]

Step-by-step explanation:

We know it is square based, so we know that the sides are the same.

Therefore the length is also 4.

4 * 4 * 10

=160

Answer:

y = -1/2x - 3 1/2    exact fractions

y = -0.5x - 3.5     exact decimals

Step-by-step explanation:

From the two points indicated on the graph

rise goes from -4  to -5 = -1

run goes from 1 to 3 = 2

m = slope = rise/run = -1/2

slope intercept form is

y = mx+b

to find "b" use either point

using (1, -4)

-4 = (-1/2)(1) + b

-4 = -1/2 + b

Add 1/2 to both sides

-3 1/2 = b

The equation is

y = -1/2x - 3 1/2     exact fractions

y = -0.5x - 3.5     exact decimals

Answer:

75

Step-by-step explanation:

22314 asas 5 => digit 3 dalam asas 10 menjadi :(3×5²) = 3×25 = 75

Answer:

7 1/4 cookies per minute

Step-by-step explanation:

29/4 = 7 1/4

Answer:

7.25

Step-by-step explanation:

29/4

Answer:

[tex]g(x) = |x-4|+6[/tex]

Step-by-step explanation:

shift 4 to the right --> x-4

shift 6 up --> +6

Answer:

the answer is 110 degrees because 50 plus 20 is 70 and a triangle is 180 degrees so you do 180 minus 70 which gives you 110 :)

Step-by-step explanation:

Answer:

9(9m + 3t) = 81m + 27t

Step-by-step explanation:

With brackets with more than one term inside multiplied by a number;

The rule of thumb to know is that with brackets, everything inside must be multiplied by everything outside;

So, in this case, the number 9 must be multiplied by each term inside the brackets:

9 × 9m = 81m

9 × 3t = 27t

So to expand, opening the brackets, you get:

81m + 27t

Answer:

D. y = 3·x² - 2·x + 11/12

Step-by-step explanation:

The coordinates of the focus of the parabola, f = (1/3, 2/3)

The directrix of the parabola, y = 1/2

The standard form of the equation of a parabola is (x - h)² = 4·p·(y - k)

The coordinates focus = (h, k + p)

The y-coordinates of the directrix, y = k - p

By comparison, we have;

h = 1/3...(1)

k + p = 2/3...(2)

k - p = 1/2...(3)

Adding equation (3) to equation (2) gives;

k + p + (k - p) = k + k + p - p = 2·k = 2/3 + 1/2 = 7/6

k = (7/6)/2 = 7/12

k = 7/12

From equation (2), we get;

p = 2/3 - k

∴ p = 2/3 - 7/12 = 1/12

p = 1/12

The equation of the parabola is therefore;

(x - 1/3)² = 4·(1/12)·(y - 7/12) = y/3 - 7/36

y = 3 × ((x - 1/3)² + 7/36) = 3 × ((x² - 2·x/3 + 1/9) + 7/36) = 3·x² - 2·x + 11/12

y = 3·x² - 2·x + 11/12.

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Answer:

times 2 ( x 2 )

Step-by-step explanation:

These two quadrilaterals are similar because figure A's sides are 20 times less than figure B's sides. Figure A's top base is 22 while figure B's top base is 44. To find the value of figure B's side, we multiply by 2. All the sides of figure A will be similar to the figure B if multiplied by 2.

Therefore, scale factor of figure A to figure B is multiply by 2.

hope this helps...

Answer:

Scale factor is 1 to 2

or given the actual question that you asked (a-b vs b-a)

2 to 1

Step-by-step explanation:

Answer:

c. 165.6 cm²

Step-by-step explanation:

We are given two sides of a triangle and an included angle. To find the area, we would apply the following formula:

Area = ½*b*c*Sin(A)

b = 25 cm

c = 25 cm

A = 32°

Area = ½*25*25*Sin(32)

Area = 165.59977

Area ≈ 165.6 cm² (nearest tenth)

The midpoint formula:

[tex] \large \boxed{( \frac{x_2 + x_1}{2} , \frac{y_2 + y_1}{2} )}[/tex]

From the graph, the point starts from (-3,2) and ends at (4,-1).

Substitute these points in the formula.

[tex] \large{( \frac{ - 3 + 4}{2} , \frac{2 - 1}{2}) = ( \frac{1}{2} , \frac{1}{2} )}[/tex]

Hence the midpoint is (1/2,1/2)

Answer

Answer:

56

Step-by-step explanation:

please I'm not sure about the answer above but I'll try to solve it and help you later

The range just means the y-output of the function, ie the y values.

You can see that the function curves up to y=2 and then curves back down, but doesn't go above y = 2.

So the second option is the correct one, because the y-values of the function go from infinity up to y=2, but not above y=2 hence the ≤ sign.

Answer:

FGAC ‎20 ‎JH ‎Н

Step-by-step explanation:

FGAC ‎20 ‎JH ‎Н

Answer:

4/3

Step-by-step explanation:

The formula is (y1-y2) /(x1-x2)

Answer:

slope = [tex]\frac{4}{3}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (2, 2) and (x₂, y₂ ) = (- 1, - 2)

m = [tex]\frac{-2-2}{-1-2}[/tex] = [tex]\frac{-4}{-3}[/tex] = [tex]\frac{4}{3}[/tex]

Answer:

$30

Step-by-step explanation:

100+ the twenty you got off is 120 and dvide 120/4=30   I am either making this way to easy or just dont understand lol

1) angle UWV

2) angle VWU

Answer:

4x +5

Step-by-step explanation:

f(x)= 10 – 2x

g(x) = 6x - 5

(f+g)(x) =10 – 2x + 6x - 5

Combine like terms

            = 4x +5

Answer:

( f + g )( x ) = 4 x + 5

Step-by-step explanation:

f ( x ) = 10 - 2 x

g ( x ) = 6 x - 5

( f + g )( x) = ( (10 - 2 x ) + (6 x -5) )

= 10 - 2x + 6 x - 5

combine like terms

= 2 x + 6 x + 10 - 5

= 4 x + 5

Answer:

93

Step-by-step explanation:

So, you basically basic math it, or calculator.

Answer

x is the smallest angle so 12 is the answer.

Step-by-step explanation:

x + 2x + 4x + 6x + 7x + 10x = 360 degree (sum of exterior angles of a hexagon)

30x = 360

x = 360/30

x = 12

the smallest exterior angle of hexagon is 12 degree.

The measure of the smallest exterior angle is 12 degrees.

Polygon is a plane figure that is described by a finite number of straight line segments connected to form a closed polygonal chain.

A hexagon is a six-sided polygon or 6-gon creating the outline of a cube.

The measures of the exterior angles of a hexagon are x°, 2x°, 4x°, 6x°, 7x°, and 10x°.

We need to find the smallest exterior angle which is x.

we know that the sum of the exterior angles of any polygon is always equal to 360.

x° + 2x° + 4x° + 6x° + 7x° + 10x° = 360

30x=360

Divide both sides by 30

x=360/30

x=12

Hence, the measure of the smallest exterior angle is 12 degrees.

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To learn more on Polygons click:

https://brainly.com/question/28276384

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Answer:

The third side is 3.6

Step-by-step explanation:

Incomplete question;

The parameter from the complete question can be summarized as follows:

[tex]Side\ 1 =2[/tex]

[tex]Side\ 2 =3[/tex]

Required

Determine the third side (hypotenuse)

Let the third side be x;

So:

[tex]x^2 = Side\ 1^2 + Side\ 2^2[/tex]

[tex]x^2 = 2^2 + 3^2[/tex]

[tex]x^2 = 4 + 9[/tex]

[tex]x^2 = 13[/tex]

Take square roots of both sides

[tex]x = 3.6[/tex]