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solve the problem ~​

SAS, ASA and SSA, AAS are postulates that helps us determine if two triangles are congruent.

SAS stands for Side-Angle-Side, ASA stands for Angle-Side-Angle, SSA stands for Side-Side-angle, AAS stands for Angle-Angle-Side.

Two figures are congruent if they are of the same shape and size.

The difference lies in which to use them, ASA refers to any two angles and the included side, whereas AAS refers to the two corresponding angles and the non-included side.

According to ASA congruence, two triangles are congruent if they have an equal side contained between corresponding equal angles.

The ASA rule states that if the vertices of two triangles are in one-to-one correspondence such that two angles and the side opposite to one of them in one triangle are equal to the corresponding angles and the non-included side of the second triangle, then th e triangles are congruent.

SAS rules states that two triangles are congruent, if two sides and an included angle of one triangle is equal top the two sides and an included angle of the other triangle, then the triangles are said to have SAS concurrency.

The SSA congruence rule states that if two sides and an angle not included between them are respectively equal to two sides and an angle of the other then the two triangles are equal.

AAS rule states that when two angles and a non-included side of a triangle are equal to the corresponding angles and sides of another triangle, then the triangles are said to be congruent.

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Answer:

l = 194999.45

Step-by-step explanation:

I'm going to assume that you meant 3.14 by 3,14.

336,765 = 3.14 × 0.55 × (l + 0.55)

336,765 ÷ (3.14 × 0.55) = l + 0.55

(336,765 ÷ (3.14 × 0.55)) - 0.55 = l

l = 194999.45

A short math prayer. using the A.CT.S prayer can be written as: M - ajestic, A - doration, T - hanksgiving, H - onor

Composition that is often in poetry and uses groups of letters to construct words, phrases, or the alphabet (such as the first or last letters of the lines). The message is often spelled out using the initial letters of each line, although they can appear elsewhere.

Another option is to create one by placing letters at the end of each line or at various locations inside each line. In a sense, this produces "code." The word's first letters are still uppercase.

A short math prayer. using the A.CT.S prayer can be written as:

M - ajestic,

A - doration,

T - hanksgiving,

H - onor

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The best description about the sampling distribution of means for the student's sample is mu x = 45, sigma x = 3.75, shape of distribution unknown.

Sampling distribution is defined as the probability distribution of a statistical measure which is got by the repeated sampling of a specific population.

Given that,

μ = 45 minutes and σ = 15 minutes

Sampling distribution of means for the student's sample is :

μₓ = μ = 45

σₓ = σ / √n, where n is the sample size.

σₓ = 15 / √(16) = 15 / 4 = 3.75

Now since the sample size 16 which is less than 30, shape of the distribution is unknown.

Hence the sampling distribution is, μₓ = 45, σₓ = 3.75, and the shape of distribution is unknown.

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This is a translation of 2 units to the left and 5 units up, so the correct option is the first one.,

Remember that a vertical translation of N units is:

g(x) = f(x) + N

if N < 0 the translation is down.

if N > 0 the translation is up.

And a horizontal translation of N units is:

g(x) = f(x + N)

If N > 0 the translation is to the right.

if N < 0 the translation is to the left.

Here we have the transformation:

f(x) = x²

g(x) = (x + 2)² + 5

So this is a translation of 2 units to the left and 5 units up.

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The speed of the object is 12121 m per week.

What does it mean to do speed?

The object is moving at a speed of 2 centimeters every 7 seconds.

We need to find the speed in m per week.

2 cm = 0.02 m

1 week = 604800 s

7 s =  \(1.65 * 10^{-6} week\)

Speed = distance/time

So,

\(v = \frac{0.02 m}{1.65 * 10^{-6 } week}\)

\(v = 12121.21 m/ week\)

or v = 12121 m/ week

So, the speed of the object is 12121 m per week.

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There is only 1 power of 7 contained in 10.

Students use powers of numbers to solve this problem and learn what is occurring to the numbers as a result.

Students also learn how to divide a seemingly vast and challenging equation into smaller, more accessible components. The pupils should understand that raising 7 to a power only produces a finite number of unit digits. Furthermore, as the power of 7 rises, these particular numbers "circle round." 7, 9, 3, and 1 make up this cycle.

The digit in the tens place is the same.

The total number of times we multiply a number is known as its exponent or power. For instance, 2 to the power 3 denotes a 3x3 multiplication of 2.

The largest power of 7 that is less than 10 is 7^1 = 7, therefore there is only 1 power of 7 contained in 10.

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There is only 1 power of 7 contained in 10.

Students use powers of numbers to solve this problem and learn what is occurring to the numbers as a result.

Students also learn how to divide a seemingly vast and challenging equation into smaller, more accessible components. The pupils should understand that raising 7 to a power only produces a finite number of unit digits. Furthermore, as the power of 7 rises, these particular numbers "circle round." 7, 9, 3, and 1 make up this cycle.

The digit in the tens place is the same.

The total number of times we multiply a number is known as its exponent or power. For instance, 2 to the power 3 denotes a 3x3 multiplication of 2.

The largest power of 7 that is less than 10 is 7^1 = 7, therefore there is only 1 power of 7 contained in 10.

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Answer:

y = -6x^2 + 15x -5

Step-by-step explanation:

equation step 1 for parabola

y2-y1 /x2-x1

= 1 - 4 / 0 - - 1

= -3 / 1

y = -3

We try again different points  

y2-y1 / x2-x1

= 7 - 1 / 2 - 0

= 6 / 2

y = 3

we can see that one side is descending and 1 side is ascending

The start of the parabola is 0,1 as x = 0 and crosses the line.

we try again

y2-y1 /x2-x1

7-1 / 2-0

= 6 / 2

y = 3

You should know that a parabola is determined by 3 points, so unless your points happen to be collinear, they will determine a parabola. A straight forward, if not always the easiest way would be to take the general equation

y = ax^2 + bx + c

plug in each point, eg.y = y1   and x = x1   eg) y = y2 and x = y2   eg) y = y3 x=x3

Top equation re-used last see at end.

4 = a(-1)^2  + b(-1 ) + c  = a+b+c=4

1  = a(0)^2 +b(0) + c = c =1

7 = a(2)^2 + b(2) + c = 4a+2b=7

a= -1-0 = -1   b = -1-0 = -1  and 4-1 = 3

-a +-b = 3

2nd set of equations

4a-0a = 4a

2b-0b = 2b

7-1 = 6

4a +2b=6  and previous

-a +-b = 3  here we can multiply by -2 to get 2b equality to 1st equation

2a + 2b = -6

4a + 2b = 6

2a = -12

2a = -12 / 2

a = -6

plug a

4(-6) + 2b = 6

-24 + 2b = 6

2b = 6 +24

2b = 30

b = 15

then put a + b+ c into top equation

(-6) + (15) + c = 4

9 + 0  = 4

9 -9 = 4 -9   cancel

c = -5

Then put into first equation as c and complete equation

To find that;

y = -6x^2 + 15x -5   =   is our equation of the parabola.

This is how to solve your two linear equations in three unknowns.

The equation of parabola passing through (-1, 4), (0, 1), and (2, 7) is y = 2x² - x + 1.

To find equation of parabola that passes through the given points, we use the general-form of quadratic equation: y = ax² + bx + c.

Since we have three points, we substitute the coordinates of each point into the equation to create a system of equations. Solve for a, b, and c:

Substitute (-1, 4), We get,

4 = a(-1)² + b(-1) + c,

4 = a - b + c,

Next, Substitute (0, 1):

1 = a(0)² + b(0) + c

1 = c

Next, Substitute (2, 7):

7 = a(2)² + b(2) + c

7 = 4a + 2b + c

Now, we have a system of equations:

a - b + c = 4          ...equation(1)

c = 1                      ...equation(2)

4a + 2b + c = 7     ...equation(3)

From equation(2), we know that c = 1. Substituting this into equation(1) and 3, we get,

a - b + 1 = 4

4a + 2b + 1 = 7

Solve equation(1) for a - b:

We get, a - b = 3,

Solve equation(3) for 4a + 2b:

4a + 2b = 6

Now we have a system-of-equations as :

a - b = 3

4a + 2b = 6

Solving the system for "a" and "b", We get,

a = 2; b = -1

Now we can write the equation of the parabola:

y = ax² + bx + c  ⇒  y = 2x² - x + 1,

Therefore, the required equation of parabola is y = 2x² - x + 1.

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The ability to order items in a sequence, such as longest to shortest, is known as Seriation.

Seriation is a cognitive skill that involves arranging objects, events, or ideas in a particular order or sequence. It is a crucial aspect of cognitive development and is typically acquired during early childhood. Seriation is the ability to mentally order objects along a quantitative dimension, such as size, weight, or length.

Seriation involves comparing and ordering items based on specific criteria. For example, if given a group of objects of different lengths, a child who has developed seriation skills will be able to arrange the objects in order from shortest to longest. Similarly, if given a group of numbers, a child who has developed seriation skills will be able to arrange them in order from smallest to largest.

Seriation is an important cognitive skill that is used in various areas of life, including academic, professional, and personal domains. It allows individuals to organize information and ideas in a logical and meaningful way, which can facilitate more efficient processing and understanding of complex concepts.

Overall, seriation is a fundamental cognitive skill that plays a crucial role in various aspects of life, including problem-solving, decision-making, and organization. It is an essential skill that supports the development of higher-order thinking skills, such as analysis, evaluation, and synthesis.

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Answer:

x = 10 cm, y = 5 cm gives a minimum area of 300 cm^2.

Step-by-step explanation:

V= x^2y = 500

Surface area A = x^2 + 4xy.

From the first equation y = 500/x^2

So substituting for y in the equation for the surface area:

A = x^2 + 4x * 500/x^2

A = x^2 + 2000/x

Finding the derivative:

dA/dx = 2x - 2000x^-2

dA/dx = 2x - 2000/x^2

This = 0 for a minimum/maximum value of A, so

2x - 2000/x^2  = 0

2x^3 - 2000 = 0

x^3 = 2000/ 2 = 1000

x = 10

Second derivative is  2 + 4000/x^3

when x = 10  this is positive so x = 10 gives a minimum value of A.

So y =  500/x^2

= 500/100

= 5.

Answer:

I think x=3.9

Step-by-step explanation:

I think the midline is the bottom value divided by 2 so that means 61/2=30.5. then 30.5-11=19.5. then 19.5/5=3.9

The set A that satisfies the given conditions is A = {1, 4}.Given the sets C = {0, 1, 2, 4} and B = {1, 3, 4, 5}, we need to determine the set A such that C - A = {0, 2} and B - A = {3}.

To find the set A, we need to determine which elements are present in C but not in A, as well as which elements are present in B but not in A.

From C - A = {0, 2}, we can deduce that A must contain the elements 1 and 4 because 0 and 2 are not present in C. Therefore, A = {1, 4}.

Similarly, from B - A = {3}, we can deduce that A must not contain the element 3. Therefore, A = {1, 4}.

Thus, the set A that satisfies the given conditions is A = {1, 4}.

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Answer:

{x=2,y=2

Step-by-step explanation:

Equation 1:

Multiply both sides of the equation by a coefficient

{ 4(2x-y)=2*4

-5x+4y=-2

Apply Multiplicative Distribution Law

{8x-4y=2*4,-5x+4y=-2

8x-4y+(-5x+4y)=8+(-2)

Remove parentheses

8x-4y-5x+4y=8-2

Cancel one variable

8x-5x=8-2

Combine like terms

3x=8-2

Calculate the sum or difference

3x=6

Divide both sides of the equation by the coefficient of the variable

x=6/3

Calculate the product or quotient

x=2

Equation two:

{-5+4y=-2, x=2

-5*2+4y=-2

Calculate the product or quotient

-10+4y =-2

Reduce the greatest common factor (GCF) on both sides of the equation

-5+2y=-1

Rearrange unknown terms to the left side of the equation

2y=-1+5

Calculate the sum or difference

2y=4

Divide both sides of the equation by the coefficient of the variable

y=4/2

y=2

Hope this helps!!

The value stored in the variable x after the execution of the following code snippet will be b) 2.

The right-click context menu option or a combination of hotkeys can be used to add code snippets, which are compact chunks of reusable code, to a code file. Although try-finally and if-else blocks, for example, are frequently used code blocks found in code snippets, you can also use them to add whole classes or methods.

Learn more about using the templates tool to create reusable emails. Applications and web pages use snippets. Snippets are made to be reusable and to add functionality, like connecting various parts of a program.

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The distance from Earth to the moon, 384,400 kilometers, can be expressed in scientific notation as \(3.844 \times 10^5\) kilometers, or as A. \(3.844 \times 10^5\) kilometers. This is a standard way to express large numbers in science and mathematics.

The distance from Earth to the moon is 384,400 kilometers. Scientific notation is a convenient way to express large or small numbers, especially in scientific and mathematical calculations. It involves writing a number in the form of \(a \times 10^n\), where "a" is a number between 1 and 10, and "n" is an integer that determines the magnitude of the number.

To express 384,400 kilometers in scientific notation, we need to move the decimal point so that we have a number between 1 and 10. We can do this by dividing the number by 10 until we get a number between 1 and 10.

To get from 384,400 to a number between 1 and 10, we need to divide by 100,000:

384,400 kilometers = \(3.844 \times 10^5\) kilometers

This is the standard form for expressing large numbers in scientific notation, where the number is expressed as the product of a decimal number between 1 and 10 and a power of 10 that indicates the number of places the decimal point has been moved.

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The equation that shows the relationship between x, the number of minutes, and y, the price, is y = 0.15x. In this equation, y represents the price and x represents the number of minutes.

The equation implies that the price (y) is directly proportional to the number of minutes (x), with a proportionality constant of 0.15.

This means that for every unit increase in the number of minutes, the price will increase by 0.15 units. Similarly, for every unit decrease in the number of minutes, the price will decrease by 0.15 units.

The equation y = 0.15x represents a linear relationship between the price and the number of minutes. It indicates that the price changes linearly with respect to the number of minutes. This type of relationship is useful in scenarios such as calculating the cost of a service based on the duration.

It's important to note that the other equations x = 0.154, x = 9y, and y = 9x do not represent a direct relationship between the number of minutes and the price. Instead, they indicate different mathematical relationships or conversions between the two variables.

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Answer:

20%

Step-by-step explanation:

12 / 60 = 0.2

0.2 x 100 = 20

20%

(% = Part / Whole × 100)

The selling price of the game is (d) $111.80

The given parameters are:

Discount = 30%

Selling price = $86.00

Since the item is sold less, then the original price would be more.

So, we have:

Price = Selling price * (1 + Discount)

This gives

Price = $86.00 * (1 + 30%)

Evaluate

Price = $111.80

Hence, the selling price is (d) $111.80

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The cartesian equation of the curve \(r=2 \hspace{0.1cm} csc \hspace{0.1cm} \theta\) is \(y=2\).

A Cartesian equation is essential in mathematics. It corresponds to a mathematical formula that expresses the connection between elements as a function of their positions on a plane known as Cartesian.

A two-dimensional coordinate scheme called the Cartesian plane employs a horizontal x-axis and an upward y-axis to identify locations in space.

Given that, \(r=2 \hspace{0.1cm} csc \hspace{0.1cm} \theta\).

So, \(csc\hspace{0.1cm}\theta=cosec \hspace{0.1cm}\theta\).

The equation becomes as follows:

\(r=2cosec\hspace{0.1cm} \theta\)

By using the trigonometric equation \(cosec\hspace{0.1cm} \theta=\frac{1}{sin\hspace{0.1cm}\theta}\), we get

\(r= \frac{2}{sin \hspace{0.1cm} \theta}\)

Multiplying both sides by \(sin\hspace{0.1cm}\theta\), we get

\(r \hspace{0.1cm}sin\hspace{0.1cm}\theta =2\hspace{0.1cm}\frac{sin\hspace{0.1cm}\theta}{sin\hspace{0.1cm}\theta}\)

\(rsin\hspace{0.1cm}\theta=2\)

By the parametric equations \(x=rcos\hspace{0.1cm}\theta\) and \(y=rsin\hspace{0.1cm}\theta\), we get

\(y=2\)

It is a horizantal line.

Hence, the cartesian equation of the curve \(r=2 \hspace{0.1cm} csc \hspace{0.1cm} \theta\) is \(y=2\).

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The cartesian equation for the curve is: y = 2 This is a horizontal line passing through the point (0,2).

To find a Cartesian equation for the curve given by the polar equation r = 2 csc(θ), we will convert the polar coordinates (r, θ) into Cartesian coordinates (x, y) using the following relationships:

x = r * cos(θ)
y = r * sin(θ)

Step 1: Express r in terms of θ
r = 2 csc(θ)

Step 2: Since csc(θ) = 1 / sin(θ), rewrite the equation as
r = 2 / sin(θ)

Step 3: Express x and y in terms of r and θ
x = r * cos(θ)
y = r * sin(θ)

Step 4: Substitute r from Step 2 into the y equation
y = (2 / sin(θ)) * sin(θ)

Step 5: Simplify the equation
y = 2

The Cartesian equation for the given polar equation is y = 2, which represents a horizontal line passing through the point (0, 2).

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Answer:

[6.26,6.29]U[6.31,6.34

Step-by-step explanation:

6.26

6.27

6.28

6.29

6.31

6.32

6.33

6.34

So in interval form [6.26,6.29]U[6.31,6.34]

The expected number of airplanes circling the airport, waiting in queue for clearance to land, if this new radar system were to be used is zero.

The new radar system is being considered as a means of reducing congestion, which implies that there is currently an issue with congestion at the airport. One way to reduce congestion is to process planes at a faster rate, which is exactly what the new radar system aims to do.

The statement "planes can be processed at a constant rate of 15 per hour (i.e., the variance is zero)" indicates that the system is able to process planes at a consistent rate of 15 per hour, with no variation in this rate. This means that there should be no planes waiting in queue for clearance to land, as they can all be processed at the constant rate of 15 per hour. Therefore, the expected number of airplanes circling the airport and waiting in queue for clearance to land is zero.

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Rainfall decreases as latitude increases between thirty and sixty degrees latitude is the best description of the rainfall trend.

At thirty degrees latitude, the Intertropical Convergence Zone (ITCZ) is located, which is a band of low pressure that circles the Earth near the equator.

This zone experiences high precipitation due to the rising and falling of air masses caused by the warm equatorial waters. As we move away from the equator towards sixty degrees latitude, the ITCZ shifts northward and the land and sea temperatures decrease, resulting in less precipitation and less humidity.

This trend is known as the latitudinal rainfall gradient, which states that precipitation decreases as latitude increases. This can be observed in the subtropical regions such as the Mediterranean, the western United States, and the southern parts of Africa, among others.

Also, the trade winds blowing from east to west towards the equator, which are prevailing winds in the tropics, push the clouds and precipitation towards the equator, this is why the equatorial regions receive more rainfall than the regions located away from the equator.

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wait do you want it step by step or just the answer?

the answer is 400

The assumption being made in the calculation is that the two gauges are independent, which is not justified since both gauges are subject to the same potential cause of failure. The probability of 0.0001 is likely too low.

The assumption made in this calculation is about the failure of one gauge is independent of the failure of the other gauge. This assumption is probably not justified in the present case because the two gauges are connected to the same electric cables, and if a fire destroys the cables, both gauges will fail simultaneously.

The probability of 0.0001 is likely to be too low because the assumption of independence is violated, and the probability of both gauges failing simultaneously is likely to be higher than the product of their individual failure probabilities.

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Answer:

Step-by-step explanation:

You want to know how to determine the y-intercepts of a rational function, and their possible number.

A rational function f(x) is the ratio of two polynomial functions p(x) and q(x):

  f(x) = p(x)/q(x)

As such, both numerator and denominator have single function values for any value of the independent variable. The y-intercept of f(x) is ...

  f(0) = p(0)/q(0)

The values of p(0) and q(0) are simply the constant terms in those respective functions.

The simple way to find the y-intercept is to look at the ratio of the constant terms in the polynomial functions making up the rational function. If that is defined, there is one y-intercept. If it is undefined (q(0)=0), then there are no y-intercepts.

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Joanne's plan pays $2400 for her July losses, as she is responsible for 20% of the covered expenses during that month.

Joanne's health insurance plan with a $1000 deductible, 80% coinsurance, and a $5000 out-of-pocket cap requires her to pay for her medical expenses until she reaches the deductible.

After reaching the deductible, she is responsible for 20% of the covered expenses, up to the out-of-pocket cap. The plan pays the remaining percentage of covered expenses.

To calculate how much the plan pays for Joanne's July losses, we need to consider her deductible, coinsurance, and out-of-pocket cap.

In March, Joanne incurs $1000 in covered medical expenses.

Since this amount is equal to her deductible, she is responsible for paying the full amount out of pocket.

In July, Joanne incurs $3000 in covered expenses. Since she has already met her deductible, the coinsurance comes into play.

According to the plan's coinsurance rate of 80%,

Joanne is responsible for 20% of the covered expenses.

Therefore, Joanne is responsible for paying 20% of $3000, which is $600.

The plan will pay the remaining 80% of the covered expenses, which is $2400.

In December, Joanne incurs $30,000 in covered expenses. Since she has already met her deductible and reached her out-of-pocket cap, the plan pays 100% of the covered expenses.

Therefore, the plan will pay the full $30,000 for her December losses.

To summarize, Joanne's plan pays $2400 for her July losses, as she is responsible for 20% of the covered expenses during that month.

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Answer:

y= -1/2x

Step-by-step explanation: