In the diagram AB = CD and CD = BC find BC

The sequence's numbers are all multiples of 30. Every number can be divided by 30.

If two integers are divided equally, leaving no remainder, then we say that one integer divides the other (we sometimes say, "with no remainder," but that is not technically correct). Mathematicians express this more explicitly as follows: If a and b are integers (with a not zero), then a divides b if c is an integer such that b = ac. Sequence: 1 51, 2 52,....., n 5n,....n 5n=n(n 4 1)=n(n1)(n1)(n+1)(n 2 +1)

At n=1, n 5, n=0, n=1, 2, 3, etc. Not attainable

Atn=2,n 5 −n=30 ∴ The sequence's numbers are all multiples of 30. Every number can be divided by 30.

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Step-by-step explanation:

I don't see any statements either.

anyway, the only thing that can be said about the 2 lines is that they are crossing each other at one point.

the lines are not parallel, they are not perpendicular (90° to each other), they are not identical.

nothing can be said about a specific point on the line of intercepts with the x- and y-axis.

they are also not parallel and not perpendicular to any of the x- or y-axis.

Answer:

Step-by-step explanation:

(7m - 2) the two would instantly become a negative so the answer would be 7m + -2.

same goes for (9m - 5) the five will become a negative and the answer would be 9m + -5.

Same also goes for (6n - 1) the one would become a negative so the answer would be 6n + -1. Your welcome!!!!!!!!!

Answer:

4

Step-by-step explanation:

Length time width times high , 8x8=16 square rooted equals 4

Cube rolled = 50 times

1 or 2 came up = 19 times

In percentage, that is >>>

So, 1 or 2 occured 38% of the times where it should occur around 20% of the times.

Looking at the answer choice, third option (C) is right.

To answer this question, first we need to properly understand the definition of median and mean, and also understand what it means to be "roughly symmetrical".

Let's start with the definition of median.

"the median is the value separating the higher half from the lower half of a data sample"

If we have an odd amount of elements in our dataset, the median is literally the middle element of our set.

Example:

We have four elements below 3, and four elements above 3, therefore, the median of this dataset is 3.

If we have an even amount of elements, the median is the mean between the two elements in the middle.

Example:

The elements in the middle are 1 and 2. This means our median is

1.5.

Now, let's understand the mean.

By definition, The Arithmetic Mean is the average of the numbers: a calculated "central" value of a set of numbers, given by the sum of all elements divided by the amount of elements.

Examples:

Now that we know what mean and median exactly are, let's try to understand what it means to be "roughly symmetrical".

When talking about histograms, Close to symmetric means the data are roughly the same in height and location on either side of the center of the histogram.

As the histogram gets closer to symmetric, the mean approaches the middle values, to be more specific, If the histogram is close to symmetric, then the mean and median are close to each other.

Since the statement says "roughly symmetrical" this is the only thing we can claim. If we have more values to the right in our roughly symmetrical distribution, the mean will be a little bit bigger than then median, and if we have more values to the left in our roughly symmetrical distribution, the mean will be a little bit smaller than then median.

The measure of x is found as 22 for the given vertically opposite angles.

For the given question;

5x + 4 = 114 (As both lines intersecting and vertical angles are formed).

Solving the equation;

5x = 114 - 4

5x = 110

x = 22

Thus, the measure of x is found as 22.

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Answer: 4x^2 + 2x + 3

Step-by-step explanation: long division method :)

The number of passes that john has attempted this year is 500500500 passes

To solve this exercise the percentage formula and the procedure to be applied is as follows:

n= (% * nt) / 100

Where

Information about the problem:

Using the percentage formulate and isolating the total of the number portion (nt), we get:

n= (% * nt) / 100

nt = (n*100) / %

nt = (350350350* 100) / 70

nt = 500500500

Percentage is defined as the number that represents a ratio of a total that is divided by 100 equal parts. It is represented by the symbol %.

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Answer:

a. x + 4

b. (x + 6)(x + 4) = x^2 + 10x + 24, so a = 10 and b = 24.

Answer: See explanation

Step-by-step explanation:

For questions 1 - 4, it's asking you to plug in numbers into the original functions.

1. f(-2): You would plug -2 into f(x) = 2x^2 - 3x, getting

2(-2)^2 - 3(-2)

2(4) - (-6)

8 + 6 = 14

f(-2) = 14

2. f(x) - g(x): You're basically just subtracting the two functions

(2x^2 - 3x) - (2 - 5x)

2x^2 - 3x - 2 + 5x

Combine like terms

2x^2 + 2x - 2

3. You're multiplying them so (2x^2 - 3x)(2 - 5x)

4. f(g(x)): It's like f(-2), but instead of -2, you plug in the function of g(x)

So in 2x^2 - 3x, x would equal 2 - 5x:

2(2 - 5x)^2 - 3(2 - 5x)

And then simplify that.

For questions 5 - 6, it's asking for shifting from the parent function. Parent function is always f(x) or g(x) or whatever variable it is.

5. f(x - 8) + 9: The 9 is the y value shift, meaning the parent function is shifted up 9 units. For -8, think of what x needs to be for (x - 8) to be 0. If that number is positive, function shifts right; if negative, shift left. In this case, x needs to be 8 in order for (x - 8) to be 0. Therefore, f(x) is shifted right 8 units.

6. -3f(x) - 2: From the previous question, we now know that -2 means f(x) is shifted down 2 units. When you have 3f(x), you're multiplying the entire function by 3, so it's called a vertical stretch of 3. The negative means it's reflected over the x-axis since the y value is the opposite of what it used to be.

The upper fence and the lower fence are known as the upper limits and lower limits respectively. The upper fence and lower fence can be computed below

Part a

[tex]150-3.50x=130-3x\\\\20=0.50x\\\\x=40[/tex]

Part b

[tex]150-3.50(40)=10[/tex]

A possible solution for the equation is -5 ± √17/2.

The term quadratic equation is a term that cold be used to be able to describe a polynomial of degree 2. A polynomial of degree 2 is one in which the highest power of the algebraic terms present in the equation is 2.

We can rewrite the equation as;

x^2 + 5x + 2 = 0

Now what we need to do is to solve the quadratic equation and obtain its value.

By solving the quadratic equation as it have been shown in the question above, e can see that one of the solutions of the equation is; negative 5 plus or minus the square root of 17 divided by two.

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Answer:

a3 is your simplified answer.

Step-by-step explanation:

a5 divided by a2 is a3/1 which is a3.

Answer:

Step-by-step explanation:

a^3

Answer:

Step-by-step explanation:

10 hours. 80-20 is 60, which means he needs 60 more dollars. he makes 6 an hour, and 6x10 equals 60(what he needs) and that is your answer.

Answer:

3 cups to 2 cups

Step-by-step explanation:

6 divided by 2 = 3

4 divided by 2 = 2

and that equals 3 to 2 cups

the perimeter of triangle is equal to the sum of all the side of the triangle,

The perimeter of given triangle is x+y+9+3

Solve for x and y,

Apply pythagoras theorem in triangle ADC,

Now, in triangle ADB

Apply pythagoras,

Compare the value of AD from both the equation,

Now, in triangle ABC

Add the equation

Substitute x=6 in the above equation,

So, the value of the other side of triangle are 6, 10.39

Perimeter of triangle =sum of all sides of triangle

ANSWER : Perimeter is 28.39

Natural number: No, because when you divide -202/45 you do not get a integer.

Integer: No, for the reason given before.

Whole number: No, for the reason given before (it is not an integer)

Real number: Yes, because real numbers include negative fractions.

Irrational number: No, because you can write the number as a fraction of two integers.

You would find the number -202/45 in the set of the real numbers.

Answer: -3

Step-by-step explanation:

[tex](3-1*4-1) \div 2-2=\\\\(3-4-1)\div2-2=\\\\(-2)\div2-2=\\\\-1-2=\\\\-3[/tex]

By considering the climate of the North Pole, Alaska, the change in the Temperature, is 13°F and 14 °F on the 1st and last day of the month respectively.

Alaska experiences an average low temperature of 9°F (-13°C) and an average high temperature of 22°F (-5°C) in January. You should be able to see the little sun that is shining (just for 5 to 6 hours per day on average) since it is clear for roughly 60% of the days.

Alaska's typical February temperature ranges from a low of 12°F (-11°C) to a high of 26°F (-3°C). There is a little bit more cloud cover (approximately 50% of days) and roughly 8 hours of sunlight per day, which both contribute to this rise in temperatures.

Change in Temperature:

On 1st day of January , the Change in temperature = Highest Temperature - lowest temperature = 22°F - 9°F = 13°F

On the 1st day of February, and the last day of January, the Change in temperature = Highest Temperature -  lowest temperature = 26°F -  12°F = 14 °F.

Claus needs to pack a lot for the vacation, as it is at the North Pole, Alaska, Considering the climate of the North Pole. She has to pack a lot winter clothes, lots of animal food, and sanitary.

The hardest part will take care of the animals, The majority of animals only require a warm, secure, and protected area to live in addition to enough food, drink, and exercise. Animals require care and attention to stay safe, happy, and healthy. They require wholesome food, pure water, and a cozy place to sleep. The majority of animals need frequent exercise to keep healthy.

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For 4 years, Deirdre paid $2 in dues.

Deirdre paid each year for three years = 3 × 10 = 30.

Let's consider x as the number of years,

As Deirdre paid $2 for x years the value she paid will be 2x,

Deirdre paid = $2x (in x years)

Deirdre has paid $10 for three years each, a total of $38 in dues. So the final equation will be,

38 = 30 + 2x

38 - 30 = 2x

8 = 2x

x = 4

Thus, Deirdre has paid $2 in dues for 4 years.

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Answer:

it depends on the question

Usually if it a triangle with 2 angles and an x

you will add the 2 angles and rearrange to give the answer

Step-by-step explanation:

Hope this helps!!!

Answer:

A right triangle has one angle measuring 90 degrees. The side opposite this angle is known as the hypotenuse (another name for the longest side). The length of the hypotenuse can be discovered using Pythagoras's theorem, but to discover the other two sides, sine and cosine must be used. These are trigonometric functions of an angle.

In the diagram below, one of the angles is represented by the Greek letter θ. (pronounced "the - ta"). Side a is known as the "opposite" side and side b is called the "adjacent" side because of their positions relative to the angle θ.

The vertical lines "||" around the words below mean "length of."

So sine, cosine and tangent are defined as follows:

Step-by-step explanation:

So sine, cosine and tangent are defined as follows:

sine θ = |opposite side| / |hypotenuse|

cosine θ = |adjacent side| / |hypotenuse|

19

Step-by-step explanation:

35*44

5555

75*69

*1235

Answer:

probability of getting 2 = 1/6

probability of getting an odd number=3/6=1/2

probability of getting number less than 5  = 4/6=2/3

multiply probabilities:

1/6x1/2x2/3

=2/36

=1/18

Answer:

10 minutes

Step-by-step explanation:

if 70 words = 1minute

862 words will be 862÷70=12.31 minutes

1,562 words will be 1562÷70=22.31 minutes

time needed to finish will be 22.31-12.31= 10 minutes

So the total time needed to finish will be 10 minutes

After using Arithmetic we'll get - Total of her paycheck $250

What is Arithmetic ?

The study of the characteristics of the standard operations on numbers, including addition, subtraction, multiplication, division, exponentiation, and root extraction, constitutes the fundamental subject of arithmetic. Giuseppe Peano, an Italian mathematician, formalised arithmetic in the 19th century with the help of his Peano axioms, which are still crucial to the modern study of mathematical logic. There are only a few artefacts from the early history of mathematics that may have shown how addition and subtraction were first thought of. The best-known of them is the disputedly interpreted Ishango bone from central Africa, which dates from between 20,000 and 18,000 BC.

The Amount Karen spent:

She lends sister = $21

Buys Groceries = $71

Pays Gym membership = $85

After spending this much she left with $73

The paycheck she receive = 21 +  71 + 85 + 73

                                             = $250

Hence , her paycheck was $250

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