Hexagonal chess is played on a regular hexagonal board comprised of 92 small hexagons in three colors. The chess pieces are arranged so that a player can move any piece at the start of a game.

a. What is the sum of the measures of the interior angles of the chess board?

The given situation is an example of an Observational Study.

In observational studies, the impact of a risk factor, diagnostic test, treatment, or other intervention is observed without an attempt to alter who is or is not exposed to it. There are two categories of observational studies: cohort studies and case control studies.

Cohort study: Any group of people who are connected in some way constitutes a cohort for research purposes. For instance, a birth cohort is made up of all individuals born within a specific period of time. Researchers contrast the outcomes for cohort members who have been exposed to a specific variable with those for cohort members who have not.

Case control study: In this method, researchers choose individuals who already have a health issue (referred to as "cases") and a control group that is similar but free of the issue.

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Answer:

p-65=114

Step-by-step explanation:

In this equation, "p" is the amount of pencils in the box before he starts drawing. he removes 65 pencils from the box, leaving 114 in the box. What he needs with 65 pencils at once, I can't fathom.

Using a system of equations, the amounts of gems collected by each member is are given as follows:

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

For this problem, the variables are given as follows:

They collected a total of 182 gems, hence:

x + y + z + t + w = 182.

Alice collected 1 more than 3 times what Cecil did, hence:

y = 3x + 1.

Jaime collected 12 less than 3 times what Alice did, hence:

z = 3y - 12 = 3(3x + 1) - 12 = 9x - 9.

Amir collected 10 less than Cecil, hence:

t = x - 10.

Monte collected 5 more than Cecil, hence:

w = x + 5.

Replacing everything in the first equation, we can solve for x as follows:

x + y + z + t + w = 182.

x + 3x + 1 + 9x - 9 + x - 10 + x + 5 = 182.

15x = 195

x = 195/15

x = 13.

Hence the other variables are:

Thus the amounts of gems collected by each member is are given as follows:

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The expression that can be used to show a set of twenty book divided into 4 groups [tex]\frac{20}{5}[/tex]

Given,

The total number of books= 20

Number of books in each group= 4

We have to use division

Then, the expression used to represent a set of 20 books divided into four group =[tex]\frac{20}{5}[/tex]

So the result will be 4

Hence, the expression that can be used to show a set of twenty book divided into 4 groups is [tex]\frac{20}{5}[/tex]

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Let x be a rational number and y be an irrational number. This is the correct choice.

Allow xy=a.

Suppose an is a rational being.

A can be stated as q p since it is rational, where p and q are both integers.

Let x = n m, where n and m are both integers.

Then, xy=a

n \smy \s​ \s = \sq \sp \s​ \s .

When we cross multiply, we obtain,

⇒y= qm \spn \s​ \s .

Pn and qm are currently integers.

Consequently, qm pn is a rational number.

Y, however, is illogical.

Consequently, our assumption is unfounded.

Therefore, an irrational number is always the result of adding a non-zero rational number to an irrational number.

a number that cannot be written as the quotient of two integers and cannot be expressed as an infinite decimal with a series of consecutive digits repeating itself forever.

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The number shown on the number line could be related to the inexact irrational number √17.

In this problem we find the location of a point on a number line, which is related to an inexact irrational number, that is, an irrational number that is not equivalent to any rational number. The point is between two exact irrational numbers, that is, √16 = 4 and √25 = 5.

There are two options: (i) √17, (ii) √24. √24 is close to 5, but √17 is close to 4. Thus, the number shown on the number line could be related to the inexact irrational number √17.

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Answer:

B

Step-by-step explanation:

y - 15 = -3

add 15 to both sides to get:

y=12

im still learning that

Step-by-step explanation:

The value of the inverse function f⁻¹(8) is  [tex]\frac{3}{2}[/tex] .

An inverse function in mathematics is a function that "undoes" another function.

To calculate the inverse of the function  f (x) = 2 x + 5 we simply  write the function in the form y = 2x + 5 .

Now we solve the equation for x.

∴ y = 2x + 5

or, 2x = y-5

or, x = (y-5)/2

Hence the inverse of the function is given as:

f⁻¹ (x) = (x - 5 ) / 2

Now we have to find the value of f⁻¹ (8).

f⁻¹ (8) = (8-5) / 2

or, f⁻¹ (8) = 3 / 2

Hence the value of f⁻¹ (8) is 3 / 2 .

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Disclaimer: the complete question is:

If f (x) = 2 x + 5 and three-halves are inverse functions of each other and f(x)=2x+5, what is f-1(8)?

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Answer: B

Step-by-step explanation: On Edge 2022

Answer:

y = [tex]\frac{1}{2}[/tex] x - 3

Step-by-step explanation:

- 3x + 6y = - 18 ( isolate the term in y by adding 3x to both sides )

6y = 3x - 18 ( divide through by 6 )

y = [tex]\frac{1}{2}[/tex] x - 3

Using the concept of the slope of a linear function, we have that:

A linear function is modeled by:

y = mx + b

In which:

Given two points in the graph of a function, the slope is given by change in y divided by change in x, hence:

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Answer:

6

Step-by-step explanation:

The numerical length of KL = 10.

So,

Combine similar terms:

Take 2x off each side:

Add 11 for each side:

Therefore, the numerical length of KL = 10.

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Answer: 12.8x^2

Step-by-step explanation:

3.2x * 4x=

3.2 * x * 4 * x=

3.2 * 4 * x * x=

12.8 * x^2=12.8x^2

The relationship between the triangles are;

Δ ABC and Δ XYZ is related by ASA

Δ BAC and ΔRQP are related by SAS

The term congruency has to do with the fact that the triangles are similar. That is why another way that we could express congruent triangles is to call them similar triangles. These are the triangles that look alike in some ways. The triangles may be similar in the following ways;

1) Angle Angle Side

2) Side Side Side

3) Side Angle Side

4) Angle Side Angle

5) Angle Side Side

Having seen the various ways in which triangle could be similar we are asked to obtain the triangles that are similar by Angle Side Angle and  Side Angle Side.

A good look at the triangles as shown in the image attached to this answer would show us which of the triangles are similar on the basis of Angle Side Angle and  Side Angle Side.

We can see that;

Δ ABC and Δ XYZ is related by ASA

Δ BAC and ΔRQP are related by SAS

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The new coordinates of the image A' will be  (-5, -9).

Here, we are given a point on the cartesian plane- A (-5, 9)

It is reflected along the x axis to form a new point A'

Originally, we can see that the point A will be in the 2nd quadrant as x is negative and y is positive.

Now, when it is reflected across the x axis, the point will shift from the 2nd quadrant to the 3rd quadrant.

In the third quadrant, both x and y values are negative. Thus the coordinates of the reflected point A' will become (-5, -9).

Note that the absolute values of the point will not change when it is reflected. It is only the signs that change.

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Answer:

I kinda want to say it's C

Answer:

Step-by-step explanation:

9.625 rounded is 10.

10 x $3.40 = $34

$3.99 rounded to the nearest cent is $4.

$34 + 4 = $38, so Bruno spends about $38 total.

Answer:

h = V/B

Step-by-step explanation:

[tex]\sf V \div B = h\\Reverse\\h = V \div B[/tex]

Answer:

D. h = V/B

Step-by-step explanation:

"Solve...for h" means get h all by itself on one side of the equation.

V = Bh

Divide both sides by B.

V/B = h

Turn it around and you can see the answer in the choices. D. h = V/B is the correct answer.

32g = 1.12877oz or 32 grams is equivalent to 1.12877 ounces.

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.

A conversion factor is a number used to change one set of units to another, either by multiplying or dividing.

The sentence states an equality between units of weight: grams and ounces.

From there, we can say that we are asked how many ounces are there in 32 grams.

Converting grams to ounces, we must use the conversion

1 gram = 0.035274 ounces

32 grams = 32 (0.035274 ounces)

32 grams = 1.12877 ounces

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Answer:

96 cm

Step-by-step explanation:

14-10= 4.

So the base of the triangle is 4.

10*8=80

4*8*1/2=16

80+16 = 96

Answer:

32

Step-by-step explanation:

Answer:

Down below Explanation :) answer is [tex]x=-\frac{3-y}{2}[/tex]

Step-by-step explanation:

-6x+3y=9

Steps:

Subtract 3y From both sides.

-6x+3y-3y=9-3y

Simplify:

-6x=9-3y

Lastly; divide both sides by -6

[tex]\frac{-6x}{-6}=\frac{9}{-6}-\frac{3y}{-6}[/tex]

And your answer is

The correct relationship between the angles of the two triangles is as follows:

So, in an ABC triangle, A is at ordered pair negative 1, 3, B is at ordered pair 0, 1, and C is at ordered pair negative 3, 0.

Then,

Angle measurement BCA = Angle C prime A prime B measurement.

Therefore, the correct relationship between the angles of the two triangles is as follows:

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Answer:

n ≤ -1

Step-by-step explanation:

Inequality is a concept that refers to the unequal distribution of resources, opportunities, or status among individuals or groups. It can be measured in a number of ways, including income inequality, wealth inequality, and educational inequality.

For the Question:

Let's solve for 'n':

Given inequality:

[tex]\sf 9 + 8n \leq 1[/tex]

Subtract 9 from both sides:

[tex]\sf 9 + 8n -9 \leq 1 -9[/tex]

[tex]\sf 8n \leq -8[/tex]

Divide both sides by 8 (remember, since you're dividing by a negative number, the inequality sign flips):

[tex]\sf \dfrac{8n}{8} \leq \dfrac{-8}{8}[/tex]

n ≤ -1

So, the solution for 'n' that satisfies the inequality is n ≤ -1.

the expression can be negative under various circumstances.

An expression means to subtraction two numbers from a given number.

Let the numbers be a, b and c

Do, the expression will become:

a - b - c.

The expression can be negative if:

1. the value of b + c > a

For example: a = 4, b = 5 and c = 6

so, the expression will be

4 - 5 - 6 = - 7

2. The value can be negative if a - b < c

For example:

a = 2, b = 1 and c = 6

The expression will be:

2 - 1 - 6 = - 5

3. The value can be negative if a - c < b

For example:

a = 1, b = 6 and c = 2

The expression will be:

1 - 6 - 2 = - 7

Therefore, we get that the expression can be negative under various circumstances.

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Answer:

B

Step-by-step explanation:

it grows b

Answer: x=7

Step-by-step explanation: hope this helps!!!

Answer:

x=7

Step-by-step explanation:

Answer: Diego is correct, and X = 145

Step-by-step explanation:

The line that 35* and x* rest on must equal 180*. Elena cannot be right if we assume this, as 35 + 35 = 70. We must then move onto Diego's formula.

[tex]X + 35 = 180[/tex]

[tex]180 - 35 = X[/tex]

[tex]X = 145[/tex]

Solving this, we would subtract 35 from 180, leaving us with 145*. This must be correct as the solution would give us the total we need.