What are the 4 theorems to prove two triangles are congruent?

Answer:

i got 6.6, 2.9, and 50 but i don't think it's right

Step-by-step explanation:

The number met between the town are

mitten = 67,137

kittens = 50

cats = 1680

rats = 67,200

bags = 56

nags = 7

Browns = 8

From the given information it can be deduced that

John Brown, and seven daughters

Browns = 1 + 7 = 8

everyone had seven bags

number of bags = 8 * 7 = 56 bags

In every bag there were thirty cats

number of cats = 56 * 30 = 1680 cats

the number of kittens = 50

every cat had forty rats

number of rats = 1680 * 40 = 67,200 rats

all but the nags and bags wore mittens.

number of mittens = 67 200 - the nags (Brown's daughters) - the bags

number of mittens = 67 200 - 7 - 56 = 67 137

The number of mittens is 67,137

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The area of the figure is 75  + 25π/4 squared unit. The value of the blank is 75

(Consider the image I attached)

The area of the figure = Area of rectangle A + Area of square B + Area of sector C

The area of the figure = (L×W) + (L²) + (θ/360 × πr²)

Note: Area of sector = θ/360 × πr². The sector has an angle of 90° and a radius of 5

The area of the figure = (10×5) + (5²) + (90/360 × π×5²)

The area of the figure = 50 + 25 + 25π/4 = 75  + 25π/4 squared unit

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Answer:

x=2599200

Step-by-step explanation:

38000/x=100/6840

(38000/x)*x=(100/6840)*x       - we multiply both sides of the equation by x

38000=0.014619883040936*x       - we divide both sides of the equation by (0.014619883040936) to get x

38000/0.014619883040936=x

However, it’s possible to notice clouds moving vertically. That is, at one point you might see a cloud much lower slightly rise up further in the sky. This is due to convection, which is rising hot air from the ground moving upwards. This hot air can cause clouds to move upwards where the air is colder.

Answer:

Physical change

Step-by-step explanation:

This type of design is termed as Non-Equivalent Control Group Design

What is Experimental Mathematics?

The study of mathematical objects through computation in order to discover their properties and patterns is known as experimental mathematics. According to one definition, it is "that branch of mathematics that ultimately deals with the codification as well as transmission of insights inside the mathematical community by means of experimental (in the Galilean, Baconian, Aristotelian, as well as Kantian feeling) exploration of conjectures and much more informal beliefs as well as a careful analysis of the information acquired in this pursuit." "Mathematics is not really a deductive science—a that's cliché," said Paul Halmos. You wouldn't just list this same hypotheses and begin to reason when attempting to prove a theorem. You work through error, trial and error, experimenting, and conjecture.

Solution:

This type of design is termed as Non-Equivalent Control Group Design

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The curve that passes through the point (1,1) with a given slope is a line.

1. The equation of a line can be determined using the point-slope form of the equation, which is y - y1 = m(x - x1).

2. For the given point (1,1) and slope, the equation of the line is y - 1 = m(x - 1).

3. Substituting the given slope m for the equation, we get y - 1 = m(x - 1).

4. Simplifying the equation, we get y = mx - m + 1.

5. The equation of the line can also be written in the general form of the equation of a line, which is y = mx + b.

6. Substituting the given slope m and the y-intercept b = -m + 1, the equation of the line can be written as y = mx - m + 1.

7. The slope of the line can be determined by calculating the rise (change in y-coordinate) over the run (change in x-coordinate).

8. For the given point (1,1) and another point (x2, y2), the slope can be calculated using the formula m = (y2 - y1)/(x2 - x1).

9. For example, if the second point has coordinates (3, 4), the slope of the line can be calculated as m = (4 - 1)/(3 - 1) = 3/2.

10. The equation of the line can then be determined using the point-slope form of the equation, which is y - y1 = m(x

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The solution of which of the following equations is neither a fraction nor an integer

C. 5x-8=x-4

An assignment of values to the unknown variables that establishes the equality in the equation is a solution. In other terms, a solution is a value or set of values (one for each unknown) that, when used in place of the unknowns, transform the equation into an equality.

5x-8=x-4

4x=-12

x=-3

hence the integer is -3.

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Answer:

Step-by-step explanation:

f+5

Answer:

72 seconds I think I am sorry if it is wrong

Identifying Correlation helps in presenting solutions to be explored.

What is Correlation?

Correlation is a statistical metric (a number) that represents the magnitude and direction of a link between two or more variables. A correlation between variables, on the other hand, does not imply that a change in one variable is the cause of a change in the values of the other variable.

Solution:

Identifying Correlation helps in presenting solutions to be explored.

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A term denotes a mathematical object while a formula denotes a mathematical fact

A binomial is a polynomial that is the sum of two terms, each of which is a monomial.

A variable is a symbol and placeholder for any mathematical object.

A single mathematical expression is referred to as a term. It could be a single number (positive or negative), a single variable (a letter), or a combination of variables multiplied but never added or subtracted. Variables with a number in front of them are used in some terms. A coefficient is the number that appears in front of a term.

A variable in mathematics is a symbol and placeholder for any mathematical object. A variable could also specifically represent a number, a vector, a matrix, a function, a function's argument, a set, or an element of a set.

A binomial is a polynomial in algebra that is the sum of two terms, each of which is a monomial. After monomials, it is the most basic type of sparse polynomial.

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Based on the observation the appropriate domain of the function is 12.5.

A relation is a function if it has only One y-value for each x-value.

Given, a company manufactures and sells shirts.

The daily profit the company makes depends on how many shirts they sell.

The company sell x shirts can be found by function f(x)=7x-80

The given function is f(x)=7x-80

f(-7)=7(-7)-80=-49-80

=-129

The value is negative so it is not the answer.

f(8)=7(8)-80

=56-80=-24

The value is negative so it is not the answer.

f(12.5)=7(12.5)-80

=87.5-80

7.5

The company sells 12.5 shirts.

Hence, based on the observation the appropriate domain of the function is 12.5.

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Mario left 65 miles to reach his goal and m + 65 = 130 is the equation to show how many miles Mario has left to run this month to reach his goal

Two or more expressions with an Equal sign is called as Equation.

Given that the Mario set a goal to run 130 miles this month to prepare for a marathon.

He has run 65 miles in this month.

We need to find the equation to show how many miles Mario has left to run this month to reach his goal.

m+65=130

We can find the left out distance in miles.

Subtract 65 from both sides.

m=130-65

m=65

Hence, m + 65 = 130 is the equation to show how many miles Mario has left to run this month to reach his goal and Mario left 65 miles to reach his goal.

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Answer:

it's b

Step-by-step explanation:

1. The actual differences that researchers imply causality come from randomized experiments.

2.  That the sample selected represents the population.

3. Confidence level clearly stated.

Population values, also called parameters, are calculated from all values ​​in the entire population.

A representative sample is a subset of the population that attempts to accurately reflect the characteristics of the larger group. For example, in a classroom of her 30 students, 15 boys and 15 girls, you can create a representative sample of her 6 students, 3 boys and 3 girls.

Probable sampling is defined as a sampling technique in which the researcher selects samples based on the researcher's subjective judgment rather than at random. This is a less rigorous method. This sampling method relies heavily on the researcher's expertise. This is done through observation and is often used by researchers for qualitative research.

A confidence interval (CI) is the range of estimated values ​​for an unknown parameter. Confidence intervals are computed at the specified confidence level. A 95% confidence level is the most common, but other levels such as 90% and 99% are sometimes used. The confidence level represents the proportion of corresponding CIs over time that contain the true value of the parameter. For example, 95% of all intervals computed at the 95% level must contain the true value of the parameter.

Factors that affect the width of the CI include confidence level, sample size, and intra-sample variation. All other things being equal, the larger the sample, the narrower the confidence interval. Similarly, the greater the sample variability, the wider the confidence interval, and the higher the confidence level, the wider the confidence interval should be.

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By using function, it can be concluded that-

The predictor variables are bed, bath, floor

What is function?

A function from A to B is a rule that assigns to each element of A a unique element of B. A is called the domain of the function and B is called the codomain of the function.

There are different operations on functions like addition, subtraction, multiplication, division and composition of functions.

In a function y = f(x), x is the independent variable and y is the dependent variable.

The price of an apartment is dependent on the number of bedrooms, bathrooms and the floor of the apartment

So the required function is p = f(bed, bath, floor) where p is the price of the apartment

The predictor variables are bed, bath, floor

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3±2√3 much longer is the longer leg when in a right triangle, the hypotenuse is 2 cm longer than the longer leg, while one of the legs is 1 cm shorter than the other.

Given that,

In a right triangle, the hypotenuse is 2 cm longer than the longer leg, while one of the legs is 1 cm shorter than the other.

We have to find how much longer is the longer leg.

We know that,

Let the one side of the triangle be x

The other side we get x-1 and x+2

From Pythagoras theorem,

x²+(x-1)²=(x+2)²

x²+x²-2x+1=x²+4x+4

2x²-2x+1-x²-4x-4=0

x²-6x-3=0

To find the value of x we have a formula that is

x=-b±√(b²-4ac)/2a

Here, a=1, b=-6 c=-3

x=6±√(-6²-4(1)(-3))/2(1)

x=6±√36+12/2

x=6±√48/2

x=6±4√3/2

x=3±2√3
Therefore, 3±2√3 much longer is the longer leg when in a right triangle, the hypotenuse is 2 cm longer than the longer leg, while one of the legs is 1 cm shorter than the other.

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The equation of the function in vertex form is y = -(x + 5)² + 4

A quadratic equation is a second-order polynomial equation in a single variable x , ax2+bx+c=0. with a ≠ 0 .

Given that the quadratic function has roots at -3 and -7 and a vertex at (-5,4).

We need to find the equation of the function in vertex form

equation of the function in vertex form.

As per the information given in the question,

The given roots of the function are -3 and -7,

y = a (x + 3) (x + 7)

y = a (x² + 10x + 21)

y = a (x² + 10x + 25 − 4)

y = a (x² + 10x + 25) − 4a

y = a (x + 5)² − 4a

The vertex is (-5, 4),

So, a = -1.

y = -(x + 5)² + 4

Hence, y = -(x + 5)² + 4  is the equation of the function in vertex form

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The ladder is 13.15 feet long.

"Information available from the question"

In the question:

A ladder is placed against the side of a house.

The base of the ladder rests 2 feet from the house

and, the top of the ladder meets a window sill that is 13 feet up from the ground.

To find the how long is the ladder?

Now, According to the question:

Let's Know:

What is Pythagoras theorem?

Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle), algebraic notation,

a² + b² = c².

The set is making a right triangle, so using Pythagoras theorem,

base² + (wall length)² = (length of ladder)²

2²+13² = (length of ladder)²

169+4 = (length of ladder)²

173 = (length of ladder)²

(length of ladder) = √173

(length of ladder) = 13.15

Hence, The ladder is 13.15 feet long

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Answer:

173

Step-by-step explanation:

Did it

The statistical test in which the mean difference between two groups is compared to a distribution of differences between means is known as the t-test.

The one-way analysis of variance (ANOVA) is the suitable procedure in place of the t-test for a comparison of more than two group means. The ANOVA is interested in the locations of the distributions indicated by means as well since it has the same underlying assumptions as the t-test.

ANOVA is used to compare the means among three or more groups, while the Student's t-test is used to compare the means between two groups. First receives a shared P value in an ANOVA. The ANOVA test results with a significant P value for at least one pair where the mean difference was statistically significant.

From the above theory, the test specified above is termed as the t-test.

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By using regression, it can be calculated that-

The response variable is a dependent variable

Option a is correct

What is regression?

The process which is used to find a relationship between a dependent variable and one or more independent variables is called regression

In regression analysis, the variable which is to be predicted is called response variable.

Since response variable is the variable to be predicted, response variable is dependent on other variables

So response variable is a dependent variable

Option a is correct

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The unit cost of all kinds of apples is $1.75 per apple thus it will be a linear function and the slope will be the same.

A linear function can be used to depict a straight line on the coordinate plane.

A linear function has the formula f(x) = ax + b, where a and b are real numbers.

As per the given,

Login buys 4 pounds (lb) and pays $7:00.Lin buys 6 lb and pays $10.50. Chita buys 2 lb and pays 3:50.

Unit cost = $7/4 = $1.75 per apple

Unit cost = $10.5/6 = $1.75 per apple

Unit cost = $3.50/2 = $1.75 per apple

Since the unit cost is the same and the unit cost represents the slope thus the graph will be a linear line as given below.

Hence "Since all varieties of apples cost $1.75 each, the function will be linear and have the same slope.".

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The sample size would be required is 400.

What is standard deviation?

A measure of a group of values' variance or dispersion in statistics is called the standard deviation. When the standard deviation is low, the values are more likely to fall within a narrow range, also known as the expected value, whereas when the standard deviation is high, the values tend to be closer to the mean.

The lowercase Greek letter sigma, which stands for the population standard deviation, or the Latin letter s, which stands for the sample standard deviation, are most frequently used in mathematical equations and texts to represent standard deviation. Standard deviation is also sometimes referred to as SD.

suppose that in a random sample of size 100, the standard deviation of the sampling distribution of the sample proportion is 0.08.

Since we know the weights from the population, we can find the population mean.

μ = 0.08

if a researcher wanted to reduce the standard deviation to 0.04.

Hence, The sample size would be required is 400.

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If E is between D and F, then DE = DF - EF.

If BD divides ABC into two angles, ABD and DBC, then mABC = mABC mDBC.

1. Given: E is between D and F

Prove: DE = DF - EF.

Since ,E is between D and F Given

D, E, and F are collinear points, and E is on ¯DF Definition of between

        Statements          Reasons

2.If BD divides ABC into two angles, ABD and DBC, then mABC = mABC -   mDBC.

Given: BD divides ABC into two angles, ABD and DBC

Prove: mABD = mABC - mDBC.

 Statements                                  Reasons

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The surface area of that part of the plane 6x+10y+z=9 that lies inside the elliptic cylinder [tex]x^{2}/49 + y^{2}/9 =1\\[/tex] is 21 [tex]\pi[/tex] [tex]\sqrt{137\\[/tex].

Given:

6x + 10y + z = 9  ..... (1)

[tex]x^{2}/49 + y^{2}/9 =1\\[/tex] ..... (2)

Equation (1) can also be written as:

z = 9 - 6x - 10y ...... (3)

The surface area is given by the equation:

SA = ∫∫[tex]\sqrt{((df/dx)^2) + (df/dy)^2 + 1} )dA[/tex]

[tex]\sqrt{df}/dx = -6[/tex]

[tex]\sqrt{df}/dy = -10[/tex]

Now, substitute the known values in equation (4).

SA = ∫∫[tex]\sqrt{(-6)^2 + (-10)^2 + 1} dA[/tex]

SA =[tex]\sqrt{137}[/tex]  ∫∫dA

Now the area enclosed by an ellipse is given by:

[tex]x^{2}/49 + y^{2}/9 =1\\x^{2}/a^2 + y^2/b^2=1\\[/tex]

By comparing the above equation:

a = 7

b = 3

The area is given by:

SA = [tex]\sqrt{137}[/tex] [tex]\pi[/tex] (7 x 3)

SA = 21 [tex]\pi[/tex] [tex]\sqrt{137\\[/tex]

The surface area of an elliptic cylinder is 21 [tex]\pi[/tex] [tex]\sqrt{137\\[/tex].

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Answer:

[tex]5x \geq 15\\x\geq 3[/tex]

Step-by-step explanation:

5 times x must be greater than or equal to 15, thus the inequality is

[tex]5x \geq 15[/tex]

To solve, pretend the [tex]\geq \\[/tex] is an = and solve, putting back the [tex]\geq[/tex] for the final answer

[tex]5x \geq 15\\5x = 15\\5x/5 = 15/5\\x = 3 \\x \geq 3[/tex]

Answer:

y=-9

Step-by-step explanation:

The required explanation of null hypothesis and alternate hypothesis for given question is below.

Hypothesis testing is a type of measurable derivation that utilizes information from an example to make inferences about a populace boundary or a populace likelihood circulation. Initial, a speculative supposition that is made about the boundary or dissemination.

Connection is a factual measure that communicates the degree to which two factors are directly related (meaning they change together at a consistent rate).

It's a typical device for portraying basic connections without saying something about circumstances and logical results.

As indicated by the inquiry,

A gathering of researcher haphazardly chose 20 Piknits from the ocean bottom and estimated their particular loads in grams.

Likewise, They were curious as to whether the weight of the Piknits can be utilized to foresee the quantity of Gogles.

From the given data,

Null hypothesis : H0 : There is no direct connection between the heaviness of piknits and the quantity of gogles

Alternative hypothesis : Ha: There is a direct connection between the heaviness of piknits and the quantity of gogles

Choice 4 is right about Null hypothesis and Alternative hypothesis.

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Answer:

y - 14 = -0.5(x + 9)