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The angle 4 is 105°. From alternative interior angle the angle 5 is 105°.

Given that,

In the picture we can see,

The angle 4 is 105°.

We have to find the angle 5.

The parallel lines,

If a transversal divides two straight lines,

When the two alternate angles are equal, two straight lines become parallel.

The two straight lines are parallel if the pair of internal angles on the same side of traversals is supplementary.

The two straight lines are parallel if the pair of corresponding angles is equal.

The alternative interior angle are always equal.

The angle 4=angle 5

105°=angle 5

The angle 5 =105°.

Therefore, The angle 5 is 105°.

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Answer:

FOR red one = 1/26

FOR black three = 1/26

FOR six of hearts = 1/52

Step-by-step explanation:

TECHNICALLY EVERY CARD WOULD BE 1/52 BUT SINCE THERE R TWO DIFFERENT TYPES OF BLACKS AND REDS THE FIRST TWO ARE 1/26

HOPE I HELPED

PLS MARK BRAINLIEST  

DESPERATELY TRYING TO LEVEL UP

✌ -ZYLYNN JADE ARDENNE

JUST A RANDOM GIRL WANTING TO HELP PEOPLE!

                     PEACE!

The question is incomplete. The complete question is :

Discuss your responses to the first question with your group. Then, complete each of the following statements with all, some, or none. Sketch 1–2 examples to illustrate each completed statement.

A. ________________ of these pairs of identical triangles can be composed into a rectangle.

B. ________________ of these pairs of identical triangles can be composed into a parallelogram.

Solution :

A. None

None of the identical triangles provided in the sketch can be composed into a rectangle, it can be formed into a square.  A rectangle is a quadrilateral with four sides having opposite side equal in length. The two adjacent sides of a rectangle are different in size. Thus a rectangle cannot be a square.

B. All

All of the figures provided in the sketch can formed a parallelogram. Two identical triangles can always be composed into a parallelogram by the segments that connects the opposite vertices.

Answer:

we 1st can get the weight of rat by

1 rat and 1 cat + 1 dog and rat = 30

2 rat + 1 cat + 1 dog = 30

Then 1 rat and cat measure 24 so

2 rat + 24 =30

2 rat + 24 =30 1 rat = 3 kg

2 rat + 24 =30 1 rat = 3 kg 1 cat + 1 rat = 10

2 rat + 24 =30 1 rat = 3 kg 1 cat + 1 rat = 101 cat + 3kg = 10

2 rat + 24 =30 1 rat = 3 kg 1 cat + 1 rat = 101 cat + 3kg = 101 cat = 7kg and

2 rat + 24 =30 1 rat = 3 kg 1 cat + 1 rat = 101 cat + 3kg = 101 cat = 7kg and 1 dog + 1 rat = 20 kg

2 rat + 24 =30 1 rat = 3 kg 1 cat + 1 rat = 101 cat + 3kg = 101 cat = 7kg and 1 dog + 1 rat = 20 kg 1 dog + 3kg = 20 kg

2 rat + 24 =30 1 rat = 3 kg 1 cat + 1 rat = 101 cat + 3kg = 101 cat = 7kg and 1 dog + 1 rat = 20 kg 1 dog + 3kg = 20 kg 1 dog = 17kg

so we get the weight of each now we r going to sum them 1 rat + 1 cat + 1 dog = x

1 rat + 1 cat + 1 dog = x 3 kg + 7 kg + 17 kg = x

1 rat + 1 cat + 1 dog = x 3 kg + 7 kg + 17 kg = x 27 kg = x ..... is the mass of 3 of them

Answer:

2.25%

Step-by-step explanation:

hope dis help

Answer:

2.25%

Step-by-step explanation:

Answer:

Step-by-step explanation:

a

6000 cartons of 4 1/4 square ft. can be stored in this warehouse, area of 25500 square ft.

We know that a mixed fraction can be transformed into improper fraction in this way,

a b/c = (a * c + b)/c

Total space in warehouse is 25500 square ft.

One carton has a space of 4 1/4 square ft. that is = 4 1/4 = (4 * 4 + 1)/4 = 17/4 = 4.25 square ft.

So the number of cartons can be stored in the warehouse space is given by

= (Area of the warehouse space)/(Area of One carton)

= 25500/4.25

= 6000

Hence 6000 cartons can be stored in this space.

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Answer: 80°

Step-by-step explanation: divide 160° in half

Answer:

22

Step-by-step explanation:

The matrix I - A(A^T) is the projection matrix that projects vectors onto the orthogonal complement of the range of matrix A, effectively removing any components lying within the range of A.

To prove this, let's consider a vector x in the column space (range) of matrix A. Then there exists a vector y such that Ax = Ay. The projection matrix onto the orthogonal complement of the range of A, denoted Pᵤ, is defined as Pᵤ = I - A(A^T).

Now, let's apply the projection matrix Pᵤ to vector x. We have Pᵤx = (I - A(A^T))x. Using matrix multiplication, this simplifies to Pᵤx = x - A(A^T)x.

Since Ax = Ay, we can substitute Ay for Ax in the equation above, resulting in Pᵤx = x - Ay. Rearranging, we have Pᵤx = x - Ax, which is the definition of the orthogonal complement.

Therefore, Pᵤx is equal to the projection of vector x onto the orthogonal complement of the range of A, proving that I - A(A^T) is the projection matrix onto the orthogonal complement of range A.

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Answer:

\(\boxed{m=7.5}\)

Step-by-step explanation:

Hey there!

Cross multiply the given info

60 = 8m

Divide both sides by 8

m = 7.5

Hope this helps :)

The correct option is the fourth one, the slope and y-intercept are different.

Here we have the linear equation:

3x - 5y = 4

We know that it is dilated by a scale factor of 5/3, so let's find the dilation.

We can rewrite the linear equation as:

-5y = 4 - 3x

y =  (3/5)x - 4/5

Now let's apply the dilation:

y = (5/3)*[ (3/5)x - 4/5]

y = x - 4/3

Then we can see that the slope and the y-intercept are different, the correct option is 4.

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Answer:

Sometimes true. It may be true at times if x or y equal each other, but if they do not equal each other it is not true

Step-by-step explanation:

We are given two expressions:  x -3 and y  - 3

Here x and y are two different variables.

These expressions are equal, when the value of x and the value of y are equal.

x - 3 = y -3 if x = y.

Therefore, the two expressions have the same value in sometimes.

That is, when x = y, then the value of two expressions are the same.

Example.

If x = 2 and y = 2, then

x - 3 = y - 3

2 - 3 = 2 - 3

-1 = -1

If they have different values, for x =  2 and y = 3

x - 3 = y - 3

2 - 3 = 3 -3

-1 = 0

Which is not true.

Therefore, the answer is sometimes.

Answer:

18225

Step-by-step explanation:

16200*0.025*5=2025

2025+16200 = 18225

Answer:

\(Area = 2288.754m^2\)

Step-by-step explanation:

The given parameters can be represented as:

\(A = 52m\)

\(B=90m\)

\(\theta = 102^{\circ}\)

Required

Determine the area of the garden

Provided that \(\theta\) is between A and B, the area is:

\(Area = \frac{1}{2}AB sin(\theta)\)

Substitute values for A, B and \(\theta\)

\(Area = \frac{1}{2}AB sin(\theta)\)

\(Area = \frac{1}{2} * 52 * 90 * sin(102)\)

\(Area = \frac{1}{2} * 52 * 90 * 0.9781\)

\(Area = \frac{52 * 90 * 0.9781}{2}\)

\(Area = \frac{4577.508}{2}\)

\(Area = 2288.754\)

Hence, the area of the garden is \(2288.754m^2\)

When a previous result is found to be an error and a corrected result is obtained, it is important to appropriately handle and document the old result. Here are some steps to consider:

1. Acknowledge the error: Clearly identify and acknowledge that the previous result was incorrect. It is important to be transparent and honest about the mistake.

2. Retract or correct the old result: Communicate the error and provide the corrected result. This can be done through formal channels, such as retracting a publication or notifying relevant parties about the correction. Make sure the corrected information reaches the appropriate audience.

3. Provide an explanation: Offer an explanation of why the error occurred. Was it a calculation mistake, data entry error, or any other factor that led to the incorrect result? Providing an explanation can help prevent similar errors in the future and maintain trust in the accuracy of your work.

4. Update relevant documentation: Update any reports, documents, or records that include the old result. Ensure that the corrected result is reflected in all relevant materials to avoid confusion and provide accurate information to others who may refer to those documents.

5. Learn from the mistake: Take the opportunity to learn from the error and implement measures to prevent similar mistakes in the future. This may include double-checking calculations, implementing quality control processes, or seeking feedback and review from colleagues.

By acknowledging the error, correcting the result, and taking steps to prevent similar mistakes in the future, you can maintain integrity and trust in your work.

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A standard normal random variable has a 0.3814 percent chance of falling between 0.3 and 3.2, according to the z table.

The probability is calculated by dividing the total number of outcomes by the total number of events.

Odds and probability are two different concepts.

Divide the probability of an event occurring by the probability that it won't happen to calculate chances.

The four main types of probability that mathematicians study are axiomatic, classical, empirical, and subjective.

So, the probability that a standard normal random variable will occur with a probability ranging from 0.3 to 3.2 must therefore be calculated.

First, a mean and standard deviation are introduced for a standard normal random variable.

The probability that a standard normal random variable will fall between 0.3 and 3.2 needs to be calculated.

Therefore, it should be more likely that:

P(0.3<z<3.2)=P(z<3.2)−P(z<0.3)

Using the usual value of z:

P(0.3<z<3.2)=0.9993−0.6179

Justify by saying:

P(0.3<z<3.2)=0.3814

Therefore, a standard normal random variable has a 0.3814 percent chance of falling between 0.3 and 3.2, according to the z table.

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The committee can best catalog the data so it can be used to make meaningful changes by using a database management system (DBMS).

A database management system (DBMS) is a system that enables users to create, read, update, and delete data in a database. The DBMS is a tool that handles all data-related tasks. Organizations employ a DBMS to keep data organized and easy to access and manage.

DBMS provides a set of computerized tools for managing all types of data. A DBMS allows end-users to extract and analyze data from a database.

The committee can use a database management system to ensure that data is organized and easily retrievable. They can employ a DBMS to streamline data entry and report production for high-quality output.

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Answer:

31 years

Step-by-step explanation:

65000*(1.07) ^31 is around $529000

however, 65000*(1.07) ^30 is around $491000

so you would need 31 years to gain more than $500,000.

It will take approximately 30 years to reach $500,000 in savings with an investment that earns an average of 7% per year.

To determine the number of years it will take to reach $500,000 in savings with an investment that earns an average of 7% per year, we can use the given investment model equation: y = 65000(1.07)ˣ.

We need to find the value of x, which represents the number of years.

Setting y = $500,000, we can solve for x:

500,000 = 65,000(1.07)ˣ

500,000/65,000 = (1.07)ˣ

100/13 = (1.07)ˣ

To solve for x, we take the logarithm of both sides:

ln 100/13 = ln (1.07)ˣ

ln 100/13 = x ln (1.07)

x = (ln 100/13)/(ln (1.07))

x = 30

Therefore, it will take approximately 30 years to reach $500,000 in savings with an investment that earns an average of 7% per year.

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Answer:

1/2x+10=1/4x+54

We simplify the equation to the form, which is simple to understand  

1/2x+10=1/4x+54

We move all terms containing x to the left and all other terms to the right.  

+2x-4x=+54-10

We simplify left and right side of the equation.  

-2x=+44

We divide both sides of the equation by -2 to get x.  

x=-22

Answer:

The result can be shown in multiple forms.

Exact Form: 4√3 = √48

Step-by-step explanation:

Answer: (1) C. 65 + 28H < 250

(2) 6

Step-by-step explanation:

Here is the correct question:

Anand needs to hire a plumber. He's considering a plumber that charges an initial fee of $65 along with an

hourly rate of $28. The plumber only charges for a whole number of hours. Anand would like to spend no more than $250, and he wonders how many hours of work he can afford.

Let H represent the whole number of hours that the plumber works.

1) Which inequality describes this scenario?

Choose 1 answer:

A. 28 + 65H < 250

B. 28 + 65H > 250

C. 65 + 28H < 250

D. 65 +28H > 250

2) What is the largest whole number of hours that Anand can afford?​

Since the initial fee charged by the plumber is $65 and an hourly rate of $28, and Anand would like to spend no more than $250. This means that the addition of the initial fee plus the hourly fee based on number of hours worked will have to be less than $250. This can be mathematically expressed as:

= 65 + 28H < 250

That means option C is the correct answer.

Option B and D are incorrect because the greater sign was used but Anand doesn't want to spend more than $250 but the options denoted that he spent more than $250 which isn't correct.

2)'The largest whole number of hours that Anand can afford goes thus:

65 + 28H < 250

28H < 250 - 65

28H < 185

H < 185/28

H < 6.6

Therefore, the largest whole number of hours that Anand can afford is 6.

Answer: The Answer is 65+28H < 250 and the largest amount of hours is 6

Step-by-step explanation:

To show that quadrilateral ABCD is a parallelogram, we need to show that both pairs of opposite sides are parallel. Additionally, we could also show that both pairs of opposite angles are congruent or that the diagonals bisect each other.

To show that quadrilateral ABCD is a parallelogram, you need at least one of the following pieces of information:

1. Both pairs of opposite sides are parallel (AB || CD and BC || AD).
2. Both pairs of opposite sides are congruent (AB ≅ CD and BC ≅ AD).
3. One pair of opposite sides are both parallel and congruent (e.g., AB || CD and AB ≅ CD).
4. Both pairs of opposite angles are congruent (angle A ≅ angle C and angle B ≅ angle D).
5. The diagonals bisect each other (AC and BD intersect at their midpoints).

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Answer:

It will add 20

Step-by-step explanation:

If the mean is 50, we can make the guess that maybe there are 10 children with all 50. If we add 20 then the mean becomes 70.

Answer:

I don't know

Step-by-step explanation:

You gave me the wrong answer on study island.

The scatter plot of the data given is:

To find it we have to plot each of the points given in the table. In here the horizontal axis is the price and the y axis the numner of items sold.

Comparing this with the plots given we conclude that the answer is D.

Answer:

-7, -1

This should be correct