select all the true statements. if vertical angles are congruent, then two lines cut by a transversal are parallel. if two parallel lines are cut by a transversal, then corresponding angles are congruent. if two parallel lines are cut by a transversal, then alternate interior angles are congruent. points on a perpendicular bisector of a line segment are equidistant from the segment’s endpoints. points on a perpendicular bisector of a line segment are never equidistant from the segment’s endpoints.

Using the sample mean and the provided sample size, We can find the sample standard deviation by using the formula  [tex]\sqrt \frac {\sum {(x-\bar x)^{2}}}{n-1}[/tex] .

Sampling is the process of choosing a portion of a statistical population to estimate attributes of the entire population in statistics, quality control, and survey methods. Statisticians try to get samples that are typical of the population under consideration.

The arithmetic mean, also known as the arithmetic average or simply the mean or average, is the sum of a set of numbers divided by the total number of numbers in the set. The collection frequently consists of a series of findings from a survey, experiment, or observational study.

The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers. While a high standard deviation suggests that the values are dispersed throughout a wider range, a low standard deviation suggests that the values tend to be close to the established mean.

sample mean = [tex]\bar x[/tex]

sample size = n

sample standard deviation = [tex]\sqrt \frac {\sum {(x-\bar x)^{2}}}{n-1}[/tex]

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To simplify a complex fraction expression, first identify the numerator and denominator of each fraction.

A complex fraction is a fraction that contains one or more fractions in the numerator, denominator, or both. This type of fraction requires additional steps to simplify and can often be reduced to a simpler fraction or a whole number. Complex fractions are also known as compound fractions or nested fractions.

Then, factor each fraction into its simplest form by dividing each numerator and denominator by their greatest common factor. Finally, combine the fractions by multiplying the numerators and denominators. This will result in a simplified expression.

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The value of θ or the measurement m∠B of  is 69°.

What is an angle?

An angle is a figure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are in the plane where the rays are located. The meeting of two planes also creates angles. We refer to these as dihedral angles.

The hypotenuse of △ABC is AB = 14.

The base of △ABC is AC = 5.

The cosine is a trigonometry ratio and cosine of an angle is ratio of base to hypotenuse.

cos θ = Base/ hypotenuse

Putting Base =5 and hypotenuse = 14

cos θ = 5/14

Taking inverse of cosine on both sides:

θ = cos⁻¹(5/14)

θ = 69.0

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A negative number is not a real number which, squared, is negative.  Hence square root of -4 undefined

What is the square root?

The square root of a number is the factor that we can multiply by itself to get that number. The symbol for square root is √ ​.Finding the square root of a number is the opposite of squaring a number.

According to the given question:

A negative number is not a real number which, squared, is negative.

You can't get square a number and get a negative. If you square a negative number, it'll become positive, therefore you can't square root a negative number because it doesn't exist. Hence square root of -4 is undefined.

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Since 1 is a square of 1, or square of 1, we receive a new number when we multiply 1 by 1.Since a square number is a number multiplied by itself, 1 is likewise a square number.

Four of its sides are equal in length, making a square a two-dimensional shape. A square has four right angles and opposing sides that are parallel to one another. Some examples of square-shaped objects in daily life include paper napkins, chess boards, cheese slices, floor tiles, and so forth.

here

When you multiply any integer by itself,

the answer is a square number.

Let's multiply one by itself as an example: 1 * 1 = 1

so since 1 is a square of 1, or square of 1, we receive a new number when we multiply 1 by 1.

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The area of the given rectangle will decrease by 9 % .

What is a rectangle?

The rectangle is a geometrical figure in which opposite sides are equal.

Area of rectangle = length × width.

Perimeter of rectangle = 2( length + width ).

Area of rectangle is given by = Length ( L ) × Width ( W )

The length of a rectangle is increased by 30%

New length L' = 1.3L

width of the same rectangle is decreased by 30%

New width( W' ) = 0.70W

Now,

New area = L'W'

1.3L × 0.70W = 0.91LW = 0.91 Old area

Hence the percentage decrement

(Old area - 0.91 old area)/old area  × 100 = 9%.

Hence, The area of the given rectangle will decrease by 9 %

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Answer:

18 and 21

Step-by-step explanation:

We take those two angles as 6x and 7x

133⁰ + 188° + 6x + 7x = 360(Sum of angles of a quadrilateral)

321+13x=360

13x=360-321

13x=39

x=39/13

x=3

6x=6x3=18

7x=7x3=21

The number of units x that produces a maximum revenue with the expression given is x = 0.

To find the value of x that maximizes the revenue function R, we can take the derivative of R with respect to x and set it equal to 0. This will give us the critical point of the function.

The derivative of the function R with respect to x is:

R'(x) = 342x - 0.18x²

Setting this equal to 0, we get:

342x - 0.18x² = 0

Solving for x, we find that x = 0 or x = 1900.

However, we need to consider the constraints of the problem to determine which value of x is the optimal solution. If x is a number of units, then x cannot be negative. Therefore, the only valid solution is x = 0.

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The steps for solving an algebraic problem can be summarized as follows Identify the problem and what you need to find (the variable). Determine what information you have about the problem, including any equations or other relevant information. Develop a plan for how to approach the problem and solve the variable. Implement your plan and perform the necessary calculations to solve for the variable. Check your solution to make sure it makes sense in the context of the problem and that it satisfies the original equation or conditions.

There are several basic steps that can help you solve algebraic equations in grade 6:

Here's an example of how to use these steps to solve an equation:

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Answer:

221

Step-by-step explanation:

5 is the first term, then:

5 + 16 = 21

22 is the last term

5 + 21 = 26

6 + 20 = 26

7 + 19 = 26

.....

.....

12 + 14 = 26

and

13

There are 8 sum of 26 each and 13

Then:

8*26 + 13 = 221

If you write everything down, you can get 0,1,2,3 or 4 heads. The probabilities are: 1/16, 4/16, 6/16, 4/16, and 1/16. Notice, the probabilities add up to 16/16 = 1. You toss 4 fair coins.

What is probabilities?

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true.

An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes.

Statistics is the study of events that follow a probability distribution.

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Answer:0

Step-by-step explanation:y=1/2x

straight lines are of the y=mx+c

The c value is where the graph cuts the y axis or the y intercept

as there is no value there c=0

or y intercept =0

Answer:

There are 6 types of quadrilaterals

Step-by-step explanation:

6 types are: Parallelogram, Trapezium, Rhombus, Rectangle, Square, Kite

Multiply the numerator and denominator by the conjugate.

Exact Form:

−10−5√3

Decimal Form:

−18.66025403...

Answer:

5/6 = 0.83

multiply the decimal by 100 to get the answer in percentage = 83%

83% is what they made

100 - 83 = 17% this is what he missed

Answer:

adfftep explanation:

ADFWAD

Therefore , we can explain square roots to the child with the help of following explanation and examples.

A number's square root, which is the result of multiplication by itself, yields the original number. Some examples of exponents are squares and square roots. Imagine the number twenty five. Additionally, this can be expressed as expression of  5x5.

Here,

The square root is the same as the square in every way. You could think of it as the square's "root" or the number that was utilized to create the square.

The square root symbol is as follows:√

For example: √9 = √3*3 = 3

√25 = √5*5=5

√4 =  √2*2 = 2

are the square roots of the following numbers .

Here we can see it is very easy to calculate the square root

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The square has a 48 centimeter perimeter.

To find the perimeter of the square, we need to calculate its side length. The area of a rectangle is given by its length multiplied by its width, so we can use the given measurements of the rectangle to calculate its area: 25 cm x 16 cm = 400 cm². The area of a square is given by the square of its side length, so we can use the area of the rectangle to calculate the side length of the square: √400 cm² = 20 cm.

Thus, the perimeter of the square is equal to 4 times its side length, or 4 x 20 cm = 80 cm.

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The answer to your Question is 3:8

Answer:

width = 8 inches

Step-by-step explanation:

⭐ What is the formula for the perimeter of a rectangle?

We are given that the length is 14 inches longer than the width, and the perimeter of the rectangle is 60 inches.

So, let's substitute these values into the perimeter formula and solve for the width. Let w = width.

[tex]60 = 2(14 + w) + 2(w)[/tex]  Multiply the 2 into the parentheses

[tex]60 = 28 + 2w + 2w[/tex]       Add like terms (terms with the same variable)

[tex]60 = 28 + 4w[/tex]                Subtract 28 on both sides

[tex]32 = 4w[/tex]                        Divide both sides by 4 to isolate the variable

[tex]8 = w[/tex]

∴ The width is 8 inches.

The percent of 3 to 1 is:

Slope Ratio: 3:1 or 3 to 1

Percent Slope: 33%

There is a picture of what the slope is down below:

Therefore, The percent of 3 to 1 is:

Slope Ratio: 3:1 or 3 to 1

Percent Slope: 33%

In one (1) calendar year, a member may receive illness benefits for a maximum of 120 days. The total number of permitted compensable days for the next year cannot be increased by any unused fraction being carried forward.

Sickness benefits are paid for 91 days across two successive benefit periods and are equal to 70% of the average daily salary.

Enhanced Sickness Benefit: For male and female employees, respectively, this benefit is payable to insured people undergoing sterilization for 7 days and 14 days, and it is equal to their entire salary.

The member's daily Sickness Benefit allotment equals ninety percent (90%) of the credit for his or her average daily wage (ADSC). Up to 120 days can be received from the sickness benefit in a single (1) calendar year.

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A triangle's base and height are perpendicular to one other. In the same manner, if we know the triangle's area and height, we can calculate the triangle's base; conversely, if we know the triangle's area and base, we can calculate the triangle's height.

A triangle's height is always one of the triangle's sides. Drawn at an acute angle to the base must be a height that matches to the base. It is necessary to draw a height at a right angle to the base that matches to the base. Once we select a base, the associated height is represented by just one section.

A=1/2 x b x h

2A/h=b

or 2A/b=h

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Note the question could be as follow,

What is the relationship between the base and height of triangle?

Answer:

s (50) c (20) s (50) c (20) = 0

Step-by-step explanation:

Hope this helps

Answer:No answer

Step-by-step explanation: Simplify like terms first if possible

on LS=-X+10X=9X

9X=9X+5

We need to get Xs on one side to solve equation

We aim to have the Xs on the left side

we take 9X from both sides

9X-9X=9X-9X+5

0=5

No solution

4x+5y=20 in slope intercept form would be y= (-4/5)x + 4.

What do you mean by slope?

The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).

4x + 5y = -20

-4x            -4x

5y = -4x - 20

divide it all by 5

y = -4/5x - 4

Slope intercept form is y=mx+b. So you would first subtract 4x from both sides. This ends up being 5y= -4x +20. Then divide both sides by 5. This gets you y= (-4/5)x +4.

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To find the volume of a pyramid we need to multiply the area of its base by the length of its height and divide it by by three. This is why we divide the pyramid so as to obtain the desired result.

Formula to calculate the volume is ,

1/3 ( base area x height )

The base of a square pyramid is a square and the area of a square is found by the formula , side x side .

In order to identify a square pyramid we check for its base . If the apex of the pyramid is perpendicular to the center of the square, then it is a right square pyramid.

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C- is the probability distribution showing all possible values of the sample mean. D- p approaches 0.5

The sampling distribution mean is the physical to the population mean. A sampling distribution is a probability distribution of a statistic obtained from a larger number of samples drawn from a specific population. The sampling distribution of a given population is the distribution of frequencies of a range of different outcomes that could possibly occur for a statistic of a population.

Thus, the correct answer is C

The term "standard error" refers to the sampling standard deviation of the sample statistic or sample proportion. The population percentage can be accurately estimated using the sample proportion.

Thus, the correct answer is D

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The sampling distribution mean is the physical to the population mean. A sampling distribution is a probability distribution of a statistic obtained from a larger number of samples drawn from a specific population. The sampling distribution of a given population is the distribution of frequencies of a range of different outcomes that could possibly occur for a statistic of a population.