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Which method and additional information would prove ΔONP and ΔMNL similar by the AA similarity postulate?



Use a rigid transformation to prove that ∠OPN ≅ ∠MLN.


Use rigid and nonrigid transformations to prove segment PN over segment MN = segment LN over segment ON.


Use a rigid transformation to prove that ∠NPO ≅ ∠LNM.


Use rigid and nonrigid transformations to prove segment LN over segment ON = segment PN over segment MN

Answers

Answer 1

We have proved that segment LN over segment ON = segment PN over segment MN using rigid and nonrigid transformations.

To prove ΔONP and ΔMNL similar by the AA similarity postulate, we need to prove that the two triangles have two pairs of corresponding angles that are congruent (AA postulate).

Here, ∠OPN ≅ ∠MLN is given. Therefore, we just need to find another pair of congruent corresponding angles. Using the following method and additional information, we can prove that ΔONP and ΔMNL are similar by the AA similarity postulate:1. Use rigid transformations to prove that ∠NPO ≅ ∠LNM, as given in question.2.

Now, we can prove that ΔONP and ΔMNL are similar by the AA similarity postulate, as they have two pairs of corresponding angles that are congruent:∠OPN ≅ ∠MLN∠NPO ≅ ∠LNMUsing rigid transformations, we can also prove that segment LN over segment ON = segment PN over segment MN as follows:3.

Apply a translation to triangle ΔMNL such that point L coincides with point O. This is a nonrigid transformation.4. Since a translation is a rigid transformation, it preserves segment ratios.

Therefore, we can write: segment LN over segment ON = segment LP over segment OP5. Using the fact that points L and O coincide, we can write: segment LP over segment OP = segment PN over segment PO6. Now, we can use a second translation to transform triangle ΔONP such that point P coincides with point M. This is also a nonrigid transformation.7.

Again, since a translation is a rigid transformation, it preserves segment ratios.

Therefore, we can write: segment PN over segment PO = segment MO over segment NO8. Using the fact that points P and M coincide, we can write: segment MO over segment NO = segment MN over segment ON

Therefore, we have proved that segment LN over segment ON = segment PN over segment MN using rigid and nonrigid transformations.

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Related Questions

Please Help Me!!!!!!!!!!

Thank you !!!!!!!!!!!!11

Answers

The proportional equation that is on the graph can be written as:

y = 0.83*x

How to find the graphed proportional equation?

Remember that a general proportional equation is written as:

y = k*x

Where k is the constant of proportionality.

To find the value of the constant of proportionality, we need to identify one point that lies on its graph. For example, we could use the point (0.6, 0.5)

Where x = 0.6

y = 0.5

Replacing that in the general proportional equation we will get:

0.5 = k*0.6

0.5/0.6 = k

0.83 = k

Then the proportional equation is:

y = 0.83*x

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How do I change my UCS icon from 3D to 2D in Autocad?

Answers

In AutoCAD, you can change the UCS icon from 3D to 2D by following these steps:

Type "UCSICON" in the command line and press Enter.In the UCS Icon dialog box, select "2D Wireframe" from the drop-down menu.Click OK to close the dialog box and apply the change.

What is Autocad?

AutoCAD is a commercial computer-aided design and drafting software application.

Alternatively, you can also change the UCS icon to 2D by typing "UCSICON" in the command line, then pressing the F6 key. This will toggle the UCS icon between 2D and 3D.

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a farmer planted 320 acres of one variety of wheat and one160 acres of a second variety. He also planted 40 acres of milo, and he has 440 acres that will lie fallow (not be planted) this year. What percent of his land di he plant in wheat? Round to the nearest percent

Answers

Percent of land planted with wheat  is 50% of total land.

What is percentage?

A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word per cent means per 100. It is represented by the symbol “%”.

Given,

a farmer planted

320 acres of one variety of wheat

160 acres of a second variety of wheat.

He also planted 40 acres of milo,

and he has 440 acres that will lie fallow

Total land farmer has = 320 + 160 + 40 + 440 = 960 acres

Land planted with wheat = 320 + 160 = 480 acres

Percentage of land with wheat

= (land planted with wheat/ total land)× 100

= 480/960 × 100

= 0.5 × 100

= 50%

Hence, 50% of total land is planted with wheat.

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I have no idea about this.
Can anyone suggest any approach?

Answers

Answer:

Step-by-step explanation:

translate

Try drawing it out, the first part about abc means that it does not have three equal sides and they are whole numbers

How do you solve complex fractions?

Answers

To solve complex fractions there are two methods -

1 - Divide the numerator by the denominator by multiplying the numerator by the reciprocal of the denominator and then simplify further if necessary.

2 - Multiply the numerator and denominator of the overall complex fractions and then simplify further if necessary.

What is a complex fraction?

A rational expression with a fraction in the numerator, denominator, or both is referred to as a complex fraction.

There are two ways to solve a complex fraction -

method 1 : Take an example - (1/3-1/4)/(1/8+1/2)

step1; If necessary, combine the denominator and numerator into a single fraction.

Add the numerator -

=1/3-1/4

=(4-3)/12

=1/12

Add the denominator -

=1/8+1/2

=(1+4)/8

=5/8

Combine back to form a complex fraction -

=(1/12)/(5/8)

Step 2: Multiply the numerator by the denominator's reciprocal, then divide the result by the denominator.

Step 3: Simplify the rational expression if necessary.

=(1/12)×(8/5)

=8/60

=2/15

Method 2: Take an example - [(2x+1)/(x^2-25)]/[(4x^2-1)/(x-5)]

Step 1 - Divide the LCD of the smaller fractions by the numerator and denominator of the total complex fractions.

(x^2-25)=(x+5)(x-5)

The denominator of the denominator’s fraction  has the following factor -

(x-5)

Using the highest exponent and combining all the other factors, we arrive at the LCD shown below for all the little fractions -

(x+5)(x-5)

By multiplying the LCD by the numerator and denominator -

=[{(2x+1)/(x+5)(x-5)}×(x+5)(x-5)]/[{(2x+1)(2x-1)/(x-5)}×(x+5)(x-5)]

=(2x+1)/(2x+1)(2x-1)(x+5)

Step 2 - Simplify the rational expression if necessary.

=(2x+1)/(2x+1)(2x-1)(x+5)

=1/(2x-1)(x+5)

Therefore, there are two methods to solve complex fractions.

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The total price of a shirt and a cap is $12. If the price of the shirt was doubled and the price of the cap was three times its original price, the total price of a shirt and a cap would be $26. The following system of equations models this scenario: x + y = 12 2x + 3y = 26 What is the price of each shirt and cap? The price of a shirt is $7, and the price of a cap is $5. The price of a shirt is $8, and the price of a cap is $4. The price of a shirt is $9, and the price of a cap is $3. The price of a shirt is $10, and the price of a cap is $2.

Answers

Answer:

x = price of shirt = $10

y = price of cap = $2

Step-by-step explanation:

x = price of shirt

y = price of cap

(1)  x+y = 12

(2)  2x+3y = 26

x = 12-y  substitute this into equation 2

2(12-y) + 3y = 26

24 - 2y + 3y = 26

y = 26-24 = 2  substitute this into equation 1

x+2 = 12

x = 12-2 = 10

Answer:

x = price of shirt = $10y = price of cap = $2

Anyone who genius apin math? Help me, ty

Answers

Answer: B -3

Step-by-step explanation

-3/4 my teacher would say rise over run, run means x axes and rise is y axes to get 2 to 8 you need 6 if you times -3/4 by 2 you would get -6/8 6 is x +2 from (5,2) you would get 8 so (m,8) then -8 +5 is -3 creating (-3,8)

select all expressions that are equivalent to -3/4( 32 - 4f)

24 - 3f
3f - 24
-24 + 3f
8 - f
3(-8 +f)

Answers

Answer:

-24 + 3f

3f - 24.

3(-8 + f)

Step-by-step explanation:

-3/4( 32 - 4f)

= -3/4 * 32 - 3/4 * -4f

= -3*8 + 3f

= -24 + 3f.

= 3f - 24

= 3(-8 + f)

Find the missing values in the radio table. Then write the equivalent ratio

3. 6

4. 24

Answers

A ratio remains the same if both antecedent and consequent are multiplied or divided by the same non-zero number.

How to find the missing number?

Step by step explanation:

i.e., a/b = pa/pb = q a/q b ,p ,q ≠0

From the given table we can see that:

For the second column

Since, 6*0.5=3

So, multiply 10 by same number

10*0.5=5

For third column:

since 24=10*5

So, multiply 6 by same number

5*6=30

Hence, the missing values are 30,5

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Place the numbers in order from least to greatest.
= -1050 = 25 = 80 = -800

Answers

Answer:

-1050 = -800 = 25 = 80

Step-by-step explanation:

-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10

1) look at the your numbers and find the negatives. they always are the SMALLEST.

2) as you can see on the line above, there's the middle and from there negative numbers go to the left and positive numbers go to the right.

3) the bigger negative numbers are the smaller they are, super confusing ik

Is the meaning of 9?

Answers

The number 9 is a numerical digit used in many numeral systems. It is the highest single-digit number and has no specific meaning in and of itself.

Write about meaning of 9.

The meaning of 9 may vary depending on the context in which it is used. For example, in mathematics, 9 is a composite number, meaning it can be divided by numbers other than itself and 1. In numerology, the number 9 is considered to be a powerful, spiritual number and is often associated with universal love, selflessness, and completion. In other cultures, 9 may hold different meanings or symbolism.

If we check the single digit series we will find the 9 is the 10[tex]th[/tex] and last digit in single digit series.

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Complete question is: What is the meaning of 9?

How would you graph y =- 1 2x 2?

Answers

Your response should be the first point on your graph because x = 0 on the y-axis.

What is graphs?

Mathematicians use graphs to logically convey facts or values using visual representations or charts. A graph point will typically reflect a relationship between two or more things. Nodes, or vertices, and edges make form a graph, a non-linear data structure. Glue together the nodes, often referred to as vertices.

that a line's equation is y = mx + b, where m is its slope and b is its y-intercept. Your initial point should be at -2 on the y-axis to start. Go up 1 and over 2 for your next point because your slope is 1/2 (rise/run). Continue along like this, and your points will become clear.

The x values you have can also be plugged in to determine your y-values. Your first point is that y = 1/2(2) - 2 = 1 - 2 = -1. (2,-1). This ought should appear on your graph as well.

Your response should be the first point on your graph because x = 0 on the y-axis.

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The area of the South China Sea i 6. 963 × 106 km2. The area of the Artic Ocean i 1. 4056 × 107 km2. Find the total area. Write the final anwer in cientific notation with the correct number of ignificant digit

Answers

So the total area of the South China Sea and the Arctic Ocean is 2.10286 x 107 km2

To find the total area of the South China Sea and the Arctic Ocean, you would add their individual areas together.

The formula for finding the total area is:

Total Area = Area of South China Sea + Area of Arctic Ocean

By applying this formula we get:

Total Area = 6.963 × 106 km2 + 1.4056 × 107 km2

Total Area = 2.10286 x 107 km2

So the total area of the South China Sea and the Arctic Ocean is 2.10286 x 107 km2. The final answer is correct and has correct number of significant digits as per the given figures.

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Three college students are planning to share a 3-bedroom, batth apartment near the campus. The rent is
$1,475 per month. The three bedrooms measure 12 by 10, 10 by 112 and 12 by 126 im. How
could they family divide the cast of the ent? Explain your reasoning

Answers

The required rent is divided by the family as  $456,  $456, and $574.56.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
Total rent = $ 1475
The total area of the place =  12× 10 + 10×11.2 + 12 × 12.6 = 383.2 units

Now,
Rent per square units = 1475/ 383.2 = $3.8
Now,
rent of bedroom with measure 12 by 10 = 12 × 10 × 3.8 = $456
rent of bedroom with measure 10 by 11.2 = 10 × 11.2 × 3.8 =  $456
rent of bedroom with measure 12 by 12.6 = 12 × 12.6 × 3.8 = $574.56

Thus, the required rent is divided by the family as  $456,  $456, and $574.56.

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What is the table of 13 to 15?

Answers

Therefore , the solution of the given problem of table comes out to be  15 to 20 table are given as follows :  14,28,42,56,70,84,98,112,126 and 140

Describe a table.

A statistical list is a collection of numbers that shows the outcomes of a computation with numerous inputs. Data is made up of descriptions and numbers and is arranged in rows and columns. The table and indeed the pattern of 10 are easily recalled. In numerical order, the numbers are 2, 4, 6, 8, 10, 12, 14, 16, 18, then 20. Value mapping is used to show how multiple data pieces are related to one another. Any science class can benefit from including the values table.

Here,

Given :

=> 13,26,39,52,65,78,91,104,117 and 130

=> 14,28,42,56,70,84,98,112,126 and 140

=> 15,30,45,60,75,90,105,120,135 and 150

Therefore , the solution of the given problem of tables comes out to be  13 to 15 table are given as follows :  14,28,42,56,70,84,98,112,126 and 140

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please help me answer this question!

Answers

3,-2


Rotation 270 degrees = (x,y) - (y,-x)

A mirror is placed 35 feet from the base of a waterfall by a hiker. The hiker walks backwards until they are 7.5 feet from the mirror. Determine how tall the waterfall is if the hiker is 6 feet tall.

45 ft
38 ft
28 ft
24 ft

Answers

Answer:

Step-by-step explanation:

The answer is 28 ft

The following rule describes the relationship between x and y.
Rule: Multiply x by 4 to get y.
Complete the table for the given rule.
X Y
0 __
1 __
2 __

Answers

................ ................................ 

chapter 7.1.6 puzzle core connections algebra

Answers

The exponential function is y = 1200(1.04)^t and the investment amount after 16 years is $2247.58.

What is exponential function?

The formula for an exponential function is f(x) = a^x, where x is a variable and a is a constant that serves as the function's base and must be bigger than 0.

Jayden invests $1,200 in a savings account. Each year, the value increases by 4%.

Let t = time in years

Let y = amount of money invested in savings account

Start with $1200 and each year add 4% interest to the amount in the bank.

1st year: Interest = 1200 × (0.04) = $48

This is added to the previous amount -

= $1200 + $1200 × (0.04)

= $1200 (1+0.04)

= $1200 (1.04)

= $1248

2nd year: Previous amount + interest on the previous amount

= $1248 (1+0.06)

= $1248 (1.06)

= $1297.92

So, the exponential formula becomes -

y = 1200(1.04)^t

Now, to find the value of investment after 16 years, substitute t = 16.

y = 1200(1.04)^t

y = 1200(1.04)^16

y = 1200(1.87298125)

y =$2247.58

Therefore, the value of investment after 16 years is $2247.58.

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Hello! I have an inverse function question I don’t understand. Please help!!!

Answers

Refer to the attached image.

Happy Paws charges $18.00 plus $4.50 per hour to keep a dog during the day. Woof Watchers charges $12.00 plus $5.75 per hour. Complete the equation and solve it to find for how many hours the total cost of the services is equal. Use the variable h to represent the number of hours. The equation is . The total cost of the services will be equal at hours.

HELP ME PLEASE!

Answers

Answer:

This is just a basic mathematical function in which 18.00$ is the starting cost of Happy Paws service and they charge 4.50$ an hour, and we can represent this with [tex]18.00$ + 4.50h = C[/tex].

C is the total cost and h represents the number of hours that took place.

Now looking at Woof Watchers, the starting cost is 12.00$ and they charge 5.75$ an hour, we can also represent this with the equation [tex]12.00 +5.75h=C[/tex].

Now we can figure out the answer the long way or the short way.

The short way is a lot more simple, so I will use that.

The short way is plugging these equations into a graphing calculator.

After that, the number of hours they both babysit to have equal total costs is 4.8 hours or 4 hours and 48 minutes, and the total cost for both services after 4.8 hours will be approximately 40$ or to be exact, 39.60$

Help on b please! Thanks

Answers

Answer: he could've gotten a 60

Step-by-step explanation:

if you follow the line up from 50 on paper 1, it fits onto a 60 for paper 2

How do you say table of 4?

Answers

A table can be read from top to bottom or left to right. When reading a table across a row, you should read the data from left to right.

what is sequence ?

In mathematics, a sequence is a list of items that is in a particular order (or events). It has members and is comparable to a set (also called elements, or terms). The amount of ordered elements determines how long the sequence is (potentially infinite). The four basic types of sequences that you should be knowledgeable about are arithmetic sequences, geometric sequences, quadratic sequences, and special sequences. A number sequence is a collection of integers connected by a pattern. If you understand the rule, you can determine the subsequent numbers in the sequence. In this case, there is a 6 difference between each number. As a result, the rule for this sequence is to add 6 each time.

given

A table can be read from top to bottom or left to right. When reading a table across a row, you should read the data from left to right.

There are four black animals in total in the Cats and Dogs Table (2 + 2 = 4). The numbers in the row directly to the right of the term "Black" are those, as you can see.

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17+44
[tex]10 + 51[/tex]
What is the solution ​

Answers

Answer :

17+44 = 61

10+51= 61

linda saves 25 dollar evry month in her saving account she took out 100 dollars

Answers

The number of months that it would take for Linda to replenish the amount she took out is 4 months.

How to find the number of months ?

The number of months it would take Linda to make back the $ 100 that she took from her savings account will depend on the amount that she saves every month.

This amount is $ 25 per month.

The number of months it would take for Linda to replenish the $ 25 would therefore be:

= Amount taken out of account / Amount saved per month

= 100 / 25

= 4 months

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Rest of the qyestion is:

How many months will it take Linda to replenish the amount she took out of her savings account ?

A building company ued 24 worker to prepare a building ite. The ite meaured 30 acre and the work wa completed in 10 day. The company i aked to prepare another ite meaured 45 acre. Thi work ha to be completed in 15 day. Calculate the leat amount of worker the company hould employ for thi work

Answers

6 Need to increase the number of workers.

Now, According to the question:

A building company used 24 worker to prepare a building site.

The site measured 30 acre and the work was completed in 10 day.

The company is asked to prepare another site measured 45 acre.

This work has to be completed in 15 days.

To find the least amount of worker the company should employs for this work.

=> 30 ÷ 10 = 3 Daily worked of 24 workers.

=>3 ÷ 24 = 1/8 Daily worked of 1 worker.

=> 45 ÷ 12 = 15/4 The amount of work that the project needs to complete each day

=> 15/4 ÷ 1/8 = 30 Number of workers needed.

=> 30 - 24 =  6 Need to increase the number of workers.

Hence, 6 Need to increase the number of workers.

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may i get some help with this

Answers

The value of x is that will ensure that quadrilateral VWXY is parallelogram is 0.25.

What is Quadrilateral?

•A polygon called a quadrilateral has four sides, four angles, and four vertices. Parallelograms, Squares, Rectangles, and Rhombuses are the different types of quadrilaterals. Parallelograms also include squares, rectangles, and rhombi.

• All quadrilaterals have a few characteristics. Parallelograms characteristics are each of them has four vertices, each side has four sides, 360 degrees is the sum of all interior angles and two diagonals are present.

•There are regular and irregular quadrilaterals. An ordinary quadrilateral must have four equal sides, four equal angles, and diagonals that cross one another. Only the square can fulfill each of these requirements of a quadrilateral.

As we know that the opposite angles of a parallelogram are equal

hence 10x + 27 = 2x + 29

8x = 2

x = 0.25

Hence, the angles are 29.5

Let the value of angle v and x be a

Now using angle sum property of a parallelogram

29.5 +29.5 + a + a = 360

2a = 301

a = 150.5

hence angle V is 150.5

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Please help me answer this question.

Verify the identity for trigonometric function attached. Thanks

Answers

Step-by-step explanation:

[tex] \frac{ \cot(x) - 1 }{ \cot(x) + 1} \\ \cot(x) = \frac{1}{ \tan(x) } \\ (\frac{1}{ \tan(x) } - 1) \div ( \frac{1}{ \tan(x) + 1} ) \\ multiply \: though \: by \: \tan(x) \\ \tan(x) \times ( \frac{1}{ \tan(x) } - 1 ) \div \tan(x) \times ( \frac{1}{ \tan(x) } + 1) \\ = 1 - \tan(x) \div 1 + \tan(x) \\ \frac{ \cot(x) - 1}{ \cot(x) + 1 } = \frac{1 - \tan(x) }{1 + \tan(x) } [/tex]

Find the equation of the line

Answers

The equation of the line is y = -3x + 16

What is the equation of a line?

The general equation of a line is expressed as;

y = mx + c

Given that;

y is a point on the y-axism is the slope of the linex is a point on the x -axisc is the intercept of the line on the y-axis

From the diagram shown, the coordinates of the line is expressed as;

(3, 7) and (2.5, 3)

The intercept. c = -3

Substitute the values

7 = -3(3) + c

expand the bracket

7 = -9 + c

collect like terms

c = 7 + 9

c = 16

The equation of the line is then given as;

y = -3x + 16

Hence, the equation is y = -3x + 16

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Can the sides of a triangle have lengths 3 6 and 7?

Answers

Answer:

No

Step-by-step explanation:

3+6 is 9 which is greater than 7 so no it can not be a triangle

Answer:

For three lengths to form a triangle, the sum of two of the sides has to be more than the length of the third line. 3,6,8 or 3,6,7 will form triangles.

Step-by-step explanation:

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Scientists involved in the project have already finished mapping, or "sequencing," DNA molecules, showing the location of genes. Now that the sequencing is finished, researchers have begun the long process of analyzing the results to find out how these genes function. To scientists, this analysis is like Europe's discovery of the New World.Scientists' findings so far are both surprising and promising. One of the unexpected findings is that it turns out people have far fewer genes than scientists thought. Before the project, the scientific world had assumed that there were 100,000 genes in the human body responsible for not only physical characteristics like hair and eye color but also certain behaviors and aptitudes. However, there are in fact only 34,000 genes. This means that there is more at work than just genes in determining why one person commits a crime and another is good at music or sports.Another interesting finding is that although groups of people around the world may look different, they are actually very similar genetically. For instance, there is only a very small number of genes accountable for the difference in skin color.Some of the most hopeful research coming out of the project relates to the study of disease. When the project first began, the medical world knew of about 100 human disease genes. Because of the project, scientists have identified more than 1400 disease genes so far for such conditions as diabetes, Alzheimer's, and certain forms of colon and breast cancer. By studying how these genes work, medical researchers can try to improve treatments. This could include developing more effective medicines as well as manipulating the genes themselves to cure or even prevent illness. Since scientists have already mapped the genomes of other organisms, including the mouse, rat, and fruit fly, they can now compare these to the human genome to learn how different organisms evolve, react to disease, and respond to environmental pollutants.Read the following sentence from "The Human Genome Project.""This means that there is more at work than just genes in determining why one person commits a crime and another is good at music or sports."What is the most likely reason that the author included this sentence in the text?1.to explore the origin of one's musical and athletic ability2.to introduce the study of human behavior and crime3.to clarify the significance of the project's findings4.to argue that genetics do not play a role in human behavior the graph shown below expresses a redical function that can be written in the form f(x)= a(x+k)^1/n + c. what does the graph tell the value of a in this function? Now think of something else you would like to know about the two health care systems. compose a new research question about the topic, and then answer the questions below. was the source you found for the first research question us based or uk based? try to find a source from the other country for the answer to your second research question. Studies about logging in forests would almost certainly touch on _____. Which answer correctly compares the primary transcript in the nucleus of a eukaryotic cell with the functional mRNA You would like to see only the last 15 lines of /home/user/log file on your linux machine. Which command line interface (cli) command would you use? Why is it accurate to say that a fish has a more complex immune system than a jellyfish? Plants known as Angiosperms first appeared in the Cretaceous and are characterized as having ____________. One attitude shift in the united states is that people are beginning ___________ at an earlier age Sally is responsible for allocating the resources given to the team by the organization, including pay raises. What is she? Which of the five cs concerns aligning the work with others and keeping the team on track? Basil was reading about a new attack that forces the system to abandon a higher cryptographic security mode of operation and instead fall back to an older and less secure mode. What type of attack is this