Which angles of rotation will map the figure onto itself? Explain your reasoning
and/or show your work.

E = 2S is the equation that links the base's S number of sides to its F number of faces.

E = 2S

S is the number of sides on a base.

E equals the number of edges.

Triangle (1)

3 and S are the base side counts.

edges equal 6, hence the answer is E.

E = 2S

Table 2

Base has four sides, hence the response is S.

edge count = E (8 edges)

E = 2E

3rd Pentagon

S is equal to the five sides of the base.

The letter E is equivalent to 10 edges.

S = 2E

4) A hexagon

S is equal to the six sides of the base.

Edge count: 12 equals E.

E = 2S

Thus, it is shown that E = 2S.

The 30 sides of the pyramid foundation.

The answer is S since the base has 20 sides.

The number of edges is E = 2S = 20 x 2 = 40 edges.

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The arithmetic mean a n of the given terms a n₋₁ = r, a n₊₁=s is

[tex]a_{n}[/tex] = [tex](a_{n+1} - a_{n-1})/2[/tex].

a n₋₁ = r, a n₊₁=s is

[tex]a_{n}[/tex] = [tex](a_{n+1} - a_{n-1})/2[/tex]

The arithmetic mean is the most straightforward and widely used method of calculating a mean or average. It only requires adding up a group of figures, then dividing the result by the entire amount of figures in the series. Consider the numbers 34, 44, 56, and 78 as an example. It totals 212.

The mean or arithmetic average are other names for the arithmetic mean. It is determined by adding up each number in a particular data set, then dividing the result by the overall number of items in the data set. For uniformly distributed integers, the middle number serves as the arithmetic mean (AM).

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You have to show the picture of what your talking about. Please do so if you want someone to answer your question.

Using conversion, Beau can make 48 one-ounce bags of trail mix from the 3-pound trail mix he bought for the hike.

To know how much one-ounce bags of trail mix can he make from the 3-pound trail mix, convert first the amount of trail mix in pounds to ounce.

In mathematics, conversion is the process of changing the value of one form or unit to another. It can be changing ones unit of length, weight, volume or even currency to another.

Converting pounds to ounce,

1 pound = 16 ounces.

If Beau has 3 pounds of trail mix, equivalently, converting pounds to ounces, he has:

1 pound = 16 ounces

3 pounds = 3(16 ounces)

3 pounds = 48 ounces

If he wants to make one-ounce bag of trail mix from the 3-pound of trail mix (= 48 ounces), divide it by one ounce to get how many bags he can make.

number of one-ounce bag = 48 ounces/1 ounce

number of one-ounce bag = 48

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Using integer numbers, the values of the positions in this problem are given as follows:

1. 0.

2. 5.

3. -3.5.

Integer number are numbers that can have either positive or negative signal, but are whole numbers, meaning that they have no decimal part.

In the context of each problem, integer numbers may have different representations, and for this problem, we have that:

Hence:

Hence the values of the positions in this problem are given as follows:

1. 0.

2. 5.

3. -3.5.

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The solutions for 'u' are u ≤ -5 and u ≤ 1

Given the inequalities;

Let's solve for u in the expression

-3u ≤ 15  

Make 'u' the subject

-3u/3 ≤ 15/ -3

u ≤ -5

Let's solve for 'u' in the expression

2u - 1 ≤ 1

collect like terms

2u ≤ 1 + 1

Add like terms

2u ≤ 2

Make 'u' the subject

u ≤ 2/ 2

u ≤ 1

Thus, the solutions for 'u' are u ≤ -5 and u ≤ 1

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We create a number line with a range from 0 to 1.0 and divide it into 5 equal segments to demonstrate the equality between 0.200 and 1/5.

The visual representation of numbers on a straight line, either horizontally or vertically, is known as a number line. When numbers are written down on a number line, it is straightforward for humans to compare them and perform basic arithmetic operations on them. One might assume that a number line starts at zero (0). There are only negative numbers to the left of zero and only positive numbers to the right of zero. In other words, as we move to the right on a number line, the value of the numbers increases. This shows that the numbers on the right are more numerous than those on the left.

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The diameter of the ring, in kilometers, written in standard notation is 250000 kilometers

The given parameters are:

Diameter = 2.5* 105 kilometers

Rewrite properly as

Diameter = 2.5* 10^5 kilometers

Express 10^5 as 100000

So, we have:

Diameter = 2.5* 100000 kilometers

Evaluate the product

Diameter = 250000 kilometers

Hence, the diameter of the ring, in kilometers, written in standard notation is 250000 kilometers

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Answer:

m∠ FHC = 87°

Step-by-step explanation:

Hello!

Angle EHD and FHC are vertical angles, meaning they are non-adjacent angles formed by intersecting lines.

The two intersecting lines are EF and DC, and angles EHD and FHC are formed as non-adjacent angles.

Vertical Angles are congruent in measure.

Therefore, Angle FHC is also 87°.

Two expression with equal sign in between is equation. If Mayumi rides her bike around a park . each lap around the park is two/ three . Mayumi rides of total of three. Then  4 1/2 laps around the park mayumi ride.

Two expression with equal sign in between is called as Equation.

Mayumi rides her bike around a park . each lap around the park is two/ three . mayumi rides of total of three.  The number of laps around the park mayumi ride be x.

We convert this given data as a expression as given

2x/3=3

Apply cross multiplication.

2x=9

x=9/2,

We need to write answer as a whole number of laps plus a fraction of a lap.

x=4 1/2

Therefore 4 1/2 laps around the park mayumi ride.

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Answer: Mayumi Rides 4 whole laps, plus 1/2 of a lap.

Step-by-step explanation:

We can conclude that ΔADE ≅ ΔACB under AA condition.

So,

To prove that: ΔADE ≅ ΔACB

Therefore, ΔADE ≅ ΔACB under AA condition.

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The equation of line is y = (-2/3)x + 5

Given the points:

(x₁, y₁) = (0, 5)

(x₂, y₂) = ( 3, 3)

The slope-intercept form:

y = mx + b

Where, m is the slope and b is the y-intercept, that is (0, b)

The formula for slope:

m = (y₂ – y₁) / (x₂ – x₁)

We have given

x₁ = 0

x₂ = 3

y₁ = 5

y₂ =3

So,

m = (3 – 5) / (3 – 0) = -2/3

here, we have b = 5

Therefore we have the equation of the line as:

y = mx + b

That is the equation of line is y = (-2/3)x + 5

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Answer:10

Step-by-step explanation:

Answer:

2x5=10 . .............

Answer: D. -4

Step-by-step explanation:

-8 + -6 + -2 + 0 + -6 + -8 + 4 + -7 + -8 + 1= - 40

-40 divided by 10= -4

(You're dividing by 10 because there are 10 numbers that you added up)

The mean is -4.

As women's coat comes in sizes 4,6,8 , or 10 in black, brown, ivory, and cinnamon , possibility of selection of different coats is equal to 16.

As given in the question,

Availability of size number in women's coat = 4, 6, 8, or 10

⇒N(S) =4

Availability of color in women's coat = black, brown, ivory, and cinnamon

⇒ N(C) =4

Possibility of selection of different women's coats = N(S) × N (C)

                                                                              =4 × 4

                                                                              =16

Therefore, the possibility of selection of different coats is equal to 16  as per the availability of women's coat sizes and colors.

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Answer:

A

Step-by-step explanation:

40 x 12 = 480

Answer:

numbers like 9.58596638927, pi, square root of 2, or square root of 11

By elimination, the solution of the system of equations, 4x + 2y = 4 and 6x + 2y = 8, is (2 , -2).

A system of equations is a set of two or more equations which includes common variables. To solve system of equations, we must find the value of the unknown variables used in the equations that must satisfy all the equations.

There are three methods that can be used to solve system of equations.

1. Elimination

2. Substitution

3. Graphing

Using the elimination method, given two equations in x and y, a variable should be eliminated by adding/subtracting the two equations.

Subtracting the two equations will eliminate the variable y.

6x + 2y = 8     (equation 2)

4x + 2y = 4     (equation 1)

2x + 0y = 4

x = 2

Substitute the value of x to any of the two equations and solve for y.

6x + 2y = 8     (equation 2)

6(2) +2y = 8

2y = 8 - 12

2y = -4

y = -2

Hence, the solution of the system of equations is (2 , -2).

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Answer:

2√3 х^2 this solution

Step-by-step explanation:

I checked everything is correct

Answer:

2421 or 21

Step-by-step explanation:

Hello!

Consecutive odd integers are set of odd integers that come right after each other.

Let "C" be Caroline's age. Caroline's next older sibling would be C + 2, as odd integers come to every two numbers, and the next would be C + 4, and finally C + 6.

If we add up all the expressions, we should get 9696.

The solution to this question does not seem reasonable. I assume that the correct sum of the age should be 96, given 9696.

If this is the case, then Caroline's age would be 21, using the same general logic.

The solution to the given equation 3/7 divided by 11/21 = (3/7)x is x = 21/11.

Given the equation in the question;

3/7 divided by 11/21 = 3/7 x

3/7 ÷ 11/21 = (3/7)x

To divide two fractions, multiply the first fraction by the reciprocal of the second fraction.

3/7 ÷ 11/21 = (3/7)x

3/7 × 21/11 = (3/7)x

( 3 × 21 )/( 7 × 11 ) = (3/7)x

63/77 = (3/7)x

Remove the parenthesis

63/77 = (3/7) × x/1

63/77 = ( 3 × x )/( 7 × 1)

63/77 = 3x/7

Cross multiply

63 × 7 = 3x × 77

441 = 231x

231x = 441

Divide both sided by 231

231x/231 = 441/231

x = 441/231

x = 21/11

The solution to the given equation 3/7 divided by 11/21 = (3/7)x is x = 21/11.

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The daily rate of decay is approximately equal to 0.0347 days⁻¹.

According to the statement, we find that a substance is under a decay process, whose differential equation is introduced below:

dm(t) / dt = - k · m(t)       (1)

Where:

The half-life of the substance is the time needed for a substance to decrease its mass by half. The rate of decay can be found in terms of half-life:

k = (㏑ 2) / t'                   (2)

Then, the daily rate of decay of the substance is:

k = (㏑ 2) / (20 days)

k ≈ 0.0347 day⁻¹

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Answer:

Step-by-step explanation:

Given parking costs $7.75 and admission costs $27.25, you want an equation and its solution for the number of people (p) who can go to the amusement park for $89.50.

The equation relates the total of costs to the total of funds available. The cost will be the total of 7.75 for parking and 27.25p for admission for p people.

  7.75 +27.25p = 89.50

This 2-step equation is solved by subtracting 7.75, then dividing by the coefficient of p.

  7.75 +27.25p = 89.50 . . . . . equation

  27.25p = 81.75 . . . . . . . . . . . subtract 7.75

  p = 3 . . . . . . . . . . . . . . . . . . . divide by 27.25

3 people can go to the amusement park for $89.50.

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Answer:

r= 3C/h - z

Explanation:

divide each side to isolate the variable.

7-(-4) is 4 units from 7 in the negative direction.

The number line keeps going both ways. You can include 6, 7, and so on, all the way up to the hundreds, thousands, and beyond, because the set of natural numbers only extends to the right.

A number line is a diagram that shows numerical values along a straight line that can be drawn either horizontally or vertically. It's simple for us to compare and compute basic arithmetic operations on numbers when they are written down on a number line. A number line's origin is typically thought to be zero (zero). There are only positive numbers to the right of zero and only negative numbers to the left of zero.

therefore,

7 - (-4)

= 7 + 4

= 11

when we simplify the expression we get the answer as 11 units

the result is that 11 units is 4 units away from 7 in a negative direction.

Hence we get the complete sentence.

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Answer:

z = -0.5317073

Step-by-step explanation:

Get variable on left and all constants on right

-4.1z = 10.5 - 8.32

-4.1z = 2.18

Divide both sides by -4.1

z = -0.5317073

To check:

8.32 = 4.1(-0.5317073) + 10.5

What is the Area of Trapezoid?

The area of a trapezoid is the total space covered by its sides. An interesting point to be noted here is that if we know the length of all sides we can simply split the trapezoid into smaller polygons like triangles and rectangles, find their area, and add them up to get the area of the trapezoid. However, there is a direct formula that is used to find the area of a trapezoid if we know certain dimensions.

Area of Trapezoid Formula :

The area of a trapezoid can be calculated if the length of its parallel sides and the distance (height) between them is given.

The formula for the area of a trapezoid is expressed as,

A = 1/2 (a +b) h

where (A) is the area of a trapezoid, 'a' and 'b' are the bases (parallel sides), and 'h' is the height (the perpendicular distance between a and b)

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Answer: (24, -12)

because 14 + 9 is 24 ob. and -3 + -9 will be 3+9 with the - so it's -12