Given: CA bisects angle BAD and AD congruent to AB
Prove: Triangle ABC is congruent to Triangle ADC

A technique called simple random sampling involves choosing a random group of individuals from a predetermined population.

A selection of participants from a population is chosen at random by the researcher using simple random sampling, a sort of probability sampling.

Every person in the population has the same chance of being chosen.

Then, data are gathered from as much of this randomly selected subgroup as possible.

A straightforward random sample, where each participant has an equal chance of being selected, selects a small, random portion of the entire population to represent the entire data set.

Using techniques like lotteries or random draws, researchers can generate a straightforward random sample.

Therefore, a technique called simple random sampling involves choosing a random group of individuals from a predetermined population.

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Answer:

(-4, 8)

Step-by-step explanation:

y = -1.5x + 2

y = 5x + 28

y + 1.5x = 2

y - 5x = 28

6.5x = -26

x = -4

y = 5(-4) + 28

y = -20 + 28

y = 8

For the given coordinates the area of the triangle will be 248.5 square units.

An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.

It is given that,triangle TABLE has vertices M(-7,-1) A(5,6) L(2,-3)

x₁,y₁=(-7,-1)

x₂,y₂=(5,6)

x₃,y₃=(2,-3)

We must utilize the triangle's vertices to calculate the area of the triangle in order to obtain the equation,

S=1/2[-7(6-(-3)+5(-3-(-1)+2(-1-(6)]

S=248.5

Thus, for the given coordinates the area of the triangle will be 248.5 square units.

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It is possible that someone else collecting a different sample from the same population and measuring the same variable would calculate the same sample statistic, but it is not guaranteed.

Statistical measures that are derived from samples of data rather than the complete population are called sample statistics. A population parameter, such the mean or standard deviation, is estimated using this method. Depending on the type of data and the research issue being examined, sample statistics can be estimated using a variety of formulae and techniques. For instance, to get the sample mean, multiply the sum of all the observations in the sample by the total number of observations. The sample standard deviation is calculated by taking the square root of the sum of the squared differences between each observation and the sample mean. In research studies and surveys, sample statistics are frequently utilized to draw conclusions about the population.

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Answer:

68

Step-by-step explanation:

Answer: 68

Step-by-step explanation: To find how many child tickets they sold that day, we need to set up this proportion:

[tex]\frac{4}{1}[/tex] = [tex]\frac{?}{17}[/tex]

So, now we cross multiply, so 1 x 17 = 17, and 4 x 17 = 68. I hope this helped someone!

Answer:

8

Step-by-step explanation:

8x + 9 = 73 becauss ir is a square

8x = 64

x = 8

Answer:

Step-by-step explanation:

In square QRST, ST = 8x + 9 and QR = 73, what is x?

in the attached figure you can see that the measurement of ST and QR are the same, it is a square, therefore 4 equal sides, we can solve with an equation

8x + 9 = 73

8x = 73 - 9

8x = 64

x = 64 : 8

x = 8 units  (your answer)

-----------------------------

check

8 x 8 + 9 = 73

64 + 9 = 73

73 = 73

the answer is good

Answer: A

Step-by-step explanation: its ironic that i just had a quiz with this question on it but i got a 95 and i got to see the answers i got wrong and i got this one right.

Answer:7

Step-by-step explanation:

Answer: 3(x-1)

Step-by-step explanation:

3 (x-1)

The  number in which the value of the digit in the thousand place as  one-tenth the value of the digit in the ten-thousand place is  44,000.

In 44000, the value of each place is 1/10 the value of the place before it as you move to the right in the place value chart. As a result of moving one place to the left, the value of the digit in the number 44,000's ten thousands place is 10 times greater than that of the digit in the thousands place.

In mathematics, place value refers to a digit's location within a number. A number has a slot for each digit. The placement of each digit will be enlarged when we represent the number in general form.

These positions begin at the unit place, often known as the individual's position. Units, tens, hundreds, thousands, ten thousand, one hundred thousand, and so on are the place values of a number's digits from right to left.

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Answer:

Below

Step-by-step explanation:

(3y + 2l )z + (4y + 5l) p = 38y+37 l     <=======given   ( y = eyes , l = legs)

z 2l + p5l = 37 l       <===separating out the' l ' part

2z + 5p = 37

3y z + 4y p = 38y     <====== taking out the 'y' part

3z  + 4 p = 38     Solve the two underlined simultaneous equations

                  multiply first one by - 1.5   then add to second one to get:

-3z -7.5p = - 55.5   <=====  solve for p

     -3.5 p = - 17.5

           p = 5     then   z = 6

The labeling and the graph are shown in the attached image.

The equals sign is used in equations to indicate the equality of two expressions in a formula. Equations are statements in mathematics that have two algebraic expressions on either side of the equals (=) sign. It shows that the expressions printed on the left and right sides have an equal relationship.

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Answer:

A

Step-by-step explanation:

You said fast so no explanation

Answer:

The plant was able to produce 2515 computer chips in 3 months

Step-by-step explanation:

You just have to sustitute

each month

f(x)= 5(x) + 2500

3 months

f(3) = 5(3) +2500    

f(3) = 2515

Hope it helps u

There are total amount of 108 quarters and 18 dimes in a jar.

Total refers to a whole or full amount, and the verb "to total" means to combine two numbers or to destroy anything. In mathematics, you add integers to get the total; the outcome is the total. The result of adding 8 and 8 is 16.

There are six times more quarters than dimes in a jar of coins.

If x represents the dimes, then the number of quarters will be 6*x if there are 28.80 in total.

A dime is worth 10 cents. In terms of money, we have 10 times as many dime.

A quarter is equal to 25 cents. We have 6 times as many quarters, which is 150 times (6 x 25).

10x +150x = 28.80

160x = 28.80

x = 0.18 that is for coins it will be 10x

10*0.18

18 dimes

similarly

6 times dimes is equal to quarters that is 6*18

108 quarters are there.

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After dividing 451 by 51, we get a quotient of 008 and a remainder of 43.

One of the four fundamental arithmetic operations, or how numbers are combined to create new numbers, is division.

The other operations are multiplication, addition, and subtraction.

On a fundamental level, counting the instances in which one number is included within another is one interpretation of the division of two natural numbers.

It's not necessary for this number to be an integer.

For instance, if 20 apples are distributed equally among 4 persons, each person will get 5 of them.

So, we have 451/51.

Now calculate as follows:

451/51

Quotient = 008

Remainder = 43

(Refer to the image attached below)

Therefore, after dividing 451 by 51, we get a quotient of 008 and a remainder of 43.

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Answer:

1) No correlation

2) Weak positive correlation

3) Strong negative correlation

The total cost of the Television is $ 1201.68.

The governments collect a consumption tax known as a sales tax on purchasing goods and services. It is always expressed as a percentage of the Purchase cost of goods and services. Here

Here we have

Alexandra bought a television set for $ 1105 in Newyork  

The rate of sales tax = 8.75%

Therefore,

The total cost of Television = Cost of Television + sales tax  

As we know sales tax = 8.75%

=> tax on Television = 8.75% of 1105  

= [tex]\frac{8.75}{100} \times 1105[/tex]

= 0.0875 × 1105

= 96.68

The total cost of Television = 1105 + 96.68

= 1201.68

Therefore,

The total cost of the Television is $ 1201.68.

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Answer:

Step-by-step explanation:

Answer:

x>−4

Step-by-step explanation:

−8<x−4

Swap sides so that all variable terms are on the left hand side. This changes the sign direction.

x−4>−8

Add 4 to both sides.

x>−8+4

Add −8 and 4 to get −4.

x>−4

Answer: 99 is your answer bro

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Answer:

∠EGC

Step-by-step explanation:

Just like for the other problem, you're looking for an angle that's opposite the one you're given and is the same size as the one you're given (meaning they're congruent). If you use you hands to cover the parts of the line AD, you can see how ∠FGB and ∠EGC are opposite of each other and are congruent..

h(x) has the following formula: 9/2 cos[4/3 (x+/2)] + 1/2

Trigonometry is a discipline of mathematics that examines certain functions of angles and how to use them in computations. There are six frequent uses for an angle in trigonometry. Sine, cosine, tangent, cotangent, secant, and cosecant.

The graph is sent as

Two point (-π/2 , 5) , (π/4 , -4)

amplitude is A = 9/2

Period  = π + π/2 = 3π/2

B = 2π/3π/2 = 4/3

Phase shift = - π/2  (π/2 to left)

midpoint y= 0.5

equation of cosine will be

9/2 cos[ 4/3 (x+π/2) ] + 1/2

Therefore h(x) = 9/2 cos[ 4/3 (x+π/2) ] + 1/2

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LN = 4 units, the numerical length of \overline{LN}.

A mathematical statement that has a "equal to" symbol between two expressions with equal values is called an equation. as in 3x + 5 Equals 15, for instance.

Equations come in a variety of forms, including linear, quadratic, cubic, etc.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. We have LHS = RHS (left hand side = right hand side) in every mathematical equation.

To determine the value of an unknown variable that represents an unknown quantity, equations can be solved. The statement is not an equation if there is no "equal to" symbol in it.

According to our question-

M being on LN, then

LN equals LM plus MN, therefore

4x = 3 + x ( remove x from both sides ) ( subtract x from both sides )

3x Equals 3 ( divide both sides by 3 ) ( divide both sides by 3 )

x = 1

Then

LN = 3 + x = 3 + 1 = 4

Hence, LN = 4 units, the numerical length of \overline{LN}.

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Answer:

27

Step-by-step explanation:

There are 27 oranges :)

Answer: 27 oranges.

Step-by-step explanation:

5 * 5 = 2020 divided by 1 = 20 If there are 5 apples with an apple: orange ratio of 4.6 there are 27 oranges.

Based on the table and equation given:Gymnastics is less expensive when the classes is 1.Ice-skating is less expensive when the classes is 3 or 4.

For 1 class, substitute x = 1 into y = 18x + 20:

y = 18(1) + 20

y = $38

For 2 class, substitute x = 2 into y = 18x + 20:

y = 18(2) + 20

y = $56

For 3 class, substitute x = 3 into y = 18x + 20:

y = 18(3) + 20

y = $74

For 4 class, substitute x = 4 into the equation y = 18x + 20:

y = 18(4) + 20

y = $92

From the above, we can conclude that, Gymnastics is less expensive when the classes is 1.

Ice-skating is less expensive when the classes is 3 or 4.

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answer:

see explanation.

step-by-step explanation:

for all the x values, subtract 1 and for all y values, subtract 3. the end result should be more left and more down than the original shape. hope that helps!

Answer:

t-(-1,-3)     y-(-4,1)    m-(-4,-3)   q-(-3,-3)

Step-by-step explanation:

becuaes you subtrace on on each xvariable and you subtracte 3 on every y varibale