Polygon ABCD is defined by the points A(-4, 2), B(-2, 4), C(1, 3), and D(2, 2). Match the coordinates of the points of the transformed polygons to their correct values. the coordinates of D′ if polygon ABCD rotates 90° counterclockwise to create A′B′C′D′ (-2, 2) the coordinates of C″ if polygon ABCD rotates 90° clockwise to create A″B″C″D″ (4, -2) the coordinates of A′′′ if polygon ABCD rotates 180° clockwise to create A′′′B′′′C′′′D′′′ (3, -1) the coordinates of B″ if polygon ABCD rotates 270° counterclockwise to create A″B″C″D″ (4, 2)

Polygon ABCD Is Defined By The Points A(-4, 2), B(-2, 4), C(1, 3), And D(2, 2). Match The Coordinates
Polygon ABCD Is Defined By The Points A(-4, 2), B(-2, 4), C(1, 3), And D(2, 2). Match The Coordinates

Answers

Answer 1

Answer:

The coordinates of D′ if polygon ABCD rotates 90° counterclockwise to create A′B′C′D′ is at (-2, 2)

The coordinates of C″ if polygon ABCD rotates 90° clockwise to create A″B″C″D″ is at (3, -1)

The coordinates of A′′′ if polygon ABCD rotates 180° clockwise to create A′′′B′′′C′′′D′′′ is at (4, -2)

The coordinates of B″ if polygon ABCD rotates 270° counterclockwise to create A″B″C″D″ is at (4, 2)

Step-by-step explanation:

A transformation is the movement of a point from its initial position to a new position. If a shape is transformed, all its points are also transformed. Types of transformation are reflection, rotation, dilation and translation.

Given Polygon ABCD is defined by the points A(-4, 2), B(-2, 4), C(1, 3), and D(2, 2).

If a point X(x, y) is rotated 90° counterclockwise, the new location X' is at (-y, x)

If a point X(x, y) is rotated 90° clockwise, the new location X' is at (y, -x)

If a point X(x, y) is rotated 180° clockwise, the new location X' is at (-x, -y)

If a point X(x, y) is rotated 270° counterclockwise, the new location X' is at (y, -x)

The coordinates of D′ if polygon ABCD rotates 90° counterclockwise to create A′B′C′D′ is at (-2, 2)

The coordinates of C″ if polygon ABCD rotates 90° clockwise to create A″B″C″D″ is at (3, -1)

The coordinates of A′′′ if polygon ABCD rotates 180° clockwise to create A′′′B′′′C′′′D′′′ is at (4, -2)

The coordinates of B″ if polygon ABCD rotates 270° counterclockwise to create A″B″C″D″ is at (4, 2)

Answer 2

Answer:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.

If a point A(x, y) is rotated 90° counterclockwise, the new point is at A'(-y, x).

If a point A(x, y) is rotated 90° clockwise, the new point is at A'(y, -x). If a point A(x, y) is rotated 180° counterclockwise, the new point is at A'(-x, -y).

If a point A(x, y) is rotated 270° counterclockwise, the new point is at A'(y, -x).

Polygon ABCD is defined by the points A(-4, 2), B(-2, 4), C(1, 3), and D(2, 2).

The coordinates of D′ if polygon ABCD rotates 90° counterclockwise to create A′B′C′D′ is D'(-2, 2)

The coordinates of C″ if polygon ABCD rotates 90° clockwise to create A″B″C″D″ is C"(3, -1).

The coordinates of A′′′ if polygon ABCD rotates 180° clockwise to create A′′′B′′′C′′′D′′′ is A''"(4, -2)

The coordinates of B″ if polygon ABCD rotates 270° counterclockwise to create A″B″C″D″ is B"(4, 2)


Related Questions

25. Solve for x.
[tex] \frac{x}{20} = \frac{1}{5} [/tex]
HELP as fast as you can if possible plz. thank you.​

Answers

Answer:

x = 4

Step-by-step explanation:

x * 5 = 20 * 1

x = 4

Answer:

[tex]\boxed{x=4}[/tex]

Step-by-step explanation:

Hey there!

Well to solve for x we need to cross multiply,

x/20 = 1/5

5x = 20

Divide both sides by 5

x = 4

Hope this helps :)

when a number is divided by 37, the quotient is 57, and the remainder is 29. what is the number

Answers

Answer:

Step-by-step explanation:

Hello, it means that the number is

57 * 37 + 29 = 2138

Thank you

15 Points and Brainliest :)

Answers

Answer:

Step-by-step explanation:

Hello, please consider the following.

Option A. First week we got $200.

Week 2, we got $200+$50=$250

Week 3, we got $250+$50=$300

Week 4, we got $300+$50=$350

Week 5, we got $350+$50=$400

Week 6, we got $400+$50=$450

[tex]\begin{array}{c |c |c |c |c |c |c|}Week & 1 & 2 & 3 & 4 & 5 & 6\\----&---&---&---&---&---&---\\Amount &200 &250 &300 &350 & 400 &450\end{array}[/tex]

Option B. First week we got $200.

Week 2, we got $200+$200*10%=$200+$20=$220

Week 3, we got $220(1+10%)=$220(1.10)=$242

Week 4, we got $242(1.10)=$266.2

Week 5, we got $266.2(1.10)=$292.82

Week 6, we got $292.82(1.10)=$322.102

[tex]\begin{array}{c |c |c |c |c |c |c|}Week & 1 & 2 & 3 & 4 & 5 & 6\\----&---&---&---&---&---&---\\Amount &200 &220 &242 &266.2 & 292.82 &322.102\end{array}[/tex]

Thank you.

2x + 5 = 22.
how can I write it in a scenario?

Answers

Answer:

Alexis sold 22 lemon cups, 5 of the cups she sold were large and the rest were small, how many small cups did she sell?

If line ℓ is parallel to plane P, how many planes containing line ℓ can be drawn parallel to plane P?

Answers

Answer:

One

Step-by-step explanation:

Only one plane containing line ℓ can be drawn parallel to plane P

The sum of 3 consecutive odd numbers is 183. What is the second number in this sequence?

Answers

Answer:

61

Step-by-step explanation:

x+x+1+x+2 = 183

3x+3 = 183

3x = 180

x = 60

Second number = x+1 = 61

Each serving of a pancake recipe calls for 1/4 cup of flour. How many servings can be made with 2 cups of flour?

Answers

Answer:

The correct answer is 8 servings of pancakes.

Step-by-step explanation:

If each serving of pancakes calls for 1/4 cup of flour, to find how many servings can be made with 2 cups of flour, we should divide 2 cups by 1/4 cup.

To do this, we can first convert 1/4 to a decimal by dividing the numerator by the denominator.  

1/4 = 0.25

Next, we can go ahead with the division.

2 / 0.25 = 8

Therefore, 8 servings of pancakes can be made with 2 cups of flour.

Hope this helps!

(-root3a-a)²
please solve this send answer quickly
As soon as possible ​

Answers

Answer:

The expression (-root3·a - a)², can be simplified into the form a² × (4 + 2·√3)

Step-by-step explanation:

The given expression can be written as follows;

(-root3·a - a)² = (-√3·a - a)²

Which can be expanded to give;

(-√3·a - a) × (-√3·a - a) = 3·a² + 2·√3·a² +a²

We collect like terms to get;

3·a² + 2·√3·a² +a² =  3·a² +a²+ 2·√3·a² = 4·a² + 2·√3·a²

We factorize out the common coefficients of the terms  to have;

4·a² + 2·√3·a² = a² × (4 + 2·√3)

Which gives the initial expression (-root3·a - a)², to presented in the form a² × (4 + 2·√3).

The function f(x) = -(x - 3)2 + 9 can be used to represent the area of a rectangle with a perimeter of 12 units, as a
function of the length of the rectangle, x. What is the maximum area of the rectangle?
3 square units
6 square units
9 square units
12 square units

Answers

Answer:

  9 square units

Step-by-step explanation:

The function f(x) describes a parabola opening downward, with a vertex at (3, 9). The maximum value of f(x) is found at the vertex, where it is f(3) = 9.

The maximum area is 9 square units.

Answer:

9 c

Step-by-step explanation:

If 2x/3−x/10=17/10, then x = ?

Answers

Answer:

x=3

Step-by-step explanation:

2x/3−x/10=17/10

Multiply each side by 30 to get rid of the fractions

30( 2x/3−x/10)=(17/10)*30

Distribute

20x -3x = 51

Combine like terms

17x = 51

Divide by 17

17x/17 = 51/17

x=3

Please please please please help

Answers

Answer:

[tex]10 {x}^{2} + ( - 18)[/tex]

Step-by-step explanation:

Inserting fx into gx we get

[tex]5(2 {x}^{2} - 5) + 7[/tex]

Which then becomes

[tex]10 {x}^{2} - 25 + 7[/tex]

And finally the answer is

[tex]10 {x}^{2} - 18[/tex]

Given: x - 7 > -2.



Choose the solution set.

A{x | x R, x > 14}
B{x | x R, x > -5}
C{x | x R, x > 5}
D{x | x R, x > -9}

Answers

Answer:

x > 5 (Choice C)

Step-by-step explanation:

x - 7 > -2

add 7 on both sides

x > 5

Answer:

x > 5 (Choice C)

Step-by-step explanation:

x - 7 > -2

add 7 on both sides

x > 5

Which explanation can be used to derive the formula for the circumference of a circle? Will give brainliest!
A) Find the length of the diameter and double this length. Multiply this length by ​π​ and set equal the to the circumference. Substitute the diameter for 2 times radius.
B) Find the difference between the length of the circumference and diameter. Set up an equation showing the relationship of the circumference to diameter to the difference. Rearrange the equation to solve for the circumference. Substitute the diameter with 2 times the radius.
C) Find the ratio of the diameter to the area of the circle. Use this ratio to set up an equation to show this ratio equaling ​π​. Substitute the area with 3 times the circumference. Then rearrange the equation to equal to the circumference.
D) First find the relationship of the circumference to its diameter by finding that the length of the diameter wraps around the length of the circumference approximately ​π​ times. Use this relationship to write an equation showing the ratio of circumference to diameter equaling ​π​ . Then rearrange the equation to solve for the circumference. Substitute the diameter for 2 times the radius.

Answers

Answer:

D. First find the relationship of the circumference to its diameter by finding that the length of the diameter wraps around the length of the circumference approximately ​π​ times. Use this relationship to write an equation showing the ratio of circumference to diameter equaling ​π​ . Then rearrange the equation to solve for the circumference. Substitute the diameter for 2 times the radius.



Step-by-step explanation:

Please answer this question now

Answers

Answer:

414.48 cm²

Step-by-step explanation:

The following data were obtained from the question:

Pi (π) = 3.14

Slant height (l) = 16 cm

Diameter (d) = 12 cm

Surface Area (SA) =....?

Next, we shall determine the radius.

This can be obtained as follow:

Diameter (d) = 12 cm

Radius (r) =..?

Radius (r) = diameter (d) /2

r = d/2

r = 12/2

r = 6 cm

Finally, we shall determine the surface area of the cone as follow:

Pi (π) = 3.14

Slant height (l) = 16 cm

Radius (r) = 6 cm

Surface Area (SA) =....?

SA = πr² + πrl

SA = (3.14 × 6²) + (3.14 × 6 × 16)

SA = (3.14 × 36) + 301.44

SA = 113.04 + 301.44

SA = 414.48 cm²

Therefore, the surface area of the cone is 414.48 cm²

Which Mean Absolute Deviation represents more consistency? 15.2 or 10.9

Answers

Answer:

10.9

Step-by-step Explanation:

The Mean Absolute Deviation of a given data set tells us how far apart, on average, each data value is to the mean of the data set.

The smaller the Mean Absolute Deviation of a given data set is, the closer each data value is to the mean. This also implies less variability of the data set.

Invariably, the smaller the M.A.D, which connotes less variability, the more consistent the data set is.

Therefore, a M.A.D of 10.9 represents more consistency than a M.A.D of 15.2

Please help!
Suppose that [tex]\alpha[/tex] is inversely proportional to [tex]\beta[/tex]. If [tex]\alpha=4[/tex] when [tex]\beta=9[/tex], find [tex]\alpha[/tex] when [tex]\beta=-72[/tex]

Answers

Answer:

The answer is

[tex] \alpha = - \frac{1}{2} [/tex]

Step-by-step explanation:

From the question

[tex]\alpha[/tex] is inversely proportional to [tex]\beta[/tex] is written as

[tex] \alpha = \frac{k}{ \beta } [/tex]

where k is the constant of proportionality

When

[tex]\alpha[/tex] = 4[tex]\beta[/tex] = 9

Substituting the values into the formula

we have

[tex]4 = \frac{k}{9} [/tex]

cross multiply

k = 4 × 9

k = 36

So the formula for the variation is

[tex] \alpha = \frac{36}{ \beta } [/tex]

when

[tex]\beta[/tex] = - 72

That's

[tex] \alpha = \frac{36}{ - 72} [/tex]

Simplify

We have the final answer as

[tex] \alpha = - \frac{ 1}{2} [/tex]

Hope this helps you

What is the value of x in the equation 3x-4y=65, when y=4?
x=13 1/4
x=21 2/3
x =23
x = 27

Answers

Hello there! :)

Answer:

[tex]\huge\boxed{x = 27}[/tex]

Given the equation:

3x - 4y = 65 where y = 4

Substitute in 4 for "y":

3x - 4(4) = 65

Simplify:

3x - 16 = 65

Add 16 to both sides:

3x - 16 + 16 = 65 + 16

3x = 81

Divide both sides by 3:

3x/3 = 81/3

x = 27.

Answer: x = 27

Explanation:

3x - 4y = 65
3x - 4(4) = 65
3x - 16 = 65
3x = 65 + 16
3x = 81
x = 81/3
x = 27

find square root of: 91+9, 47+2, 19+125, 9+0

Answers

Answer:

√(91+9)

=√100

= 10

√(47+2)

=√49

= 7

√(19+125)

=√144

= 12

√(9+0)

=√9

=3

10, 7, 12 and 3 is the square root to all of those :)

What is a simpler form of the expression? -3(-4y+3)+7y please explain, i don’t understand it.

Answers

Answer:

19y - 9

Step-by-step explanation:

We can use the acronym PEMDAS. First, we need to calculate -3(-4y+3) by distributing. This is -3 * (-4y) + (-3) * 3 = 12y - 9 so the expression becomes 12y - 9 + 7y. Next, we need to combine like terms. 12y and +7y are like terms since they both have y so combining them gives us 12y + 7y = 19y. -9 stays by itself since there are no other constants so the final answer is 19y - 9.

Answer:

Hey, it's really very easy to simplify .

I will write step by step.

Given:

= -3 (-4y + 3) +7y

Now, let's Distribute:

= (-3) (-4y) + (-3) (3) + 7y

= 12y + -9 + 7y

Now, Combine Like Terms:

= 12y + -9 + 7y

= (12y + 7y) + (-9)

= 19y + -9

Therefore, 19y + -9 is the answer.

41 =12d-7 d= Math is not my strong suit. I love to read and write but I can not do math without a little bit of help.

Answers

Answer:

[tex]\huge\boxed{d = 4 }[/tex]

Step-by-step explanation:

41 = 12d - 7

Adding 7 to both sides

41+7 = 12d

48 = 12 d

Dividing both sides by 12

4 = d

OR

d = 4

Answer:

[tex]\large \boxed{{d=4}}[/tex]

Step-by-step explanation:

[tex]41 =12d-7[/tex]

Add 7 on both sides.

[tex]41 +7=12d-7+7[/tex]

[tex]48=12d[/tex]

Divide both sides by 12.

[tex]\displaystyle \frac{48}{12} =\frac{12d}{12}[/tex]

[tex]4=d[/tex]

A blue print for a house has a scale of 1:10. A wall in the blueprint is 8in. What is the length of the actual wall?

6.67. inches
80 feet
969 feet
6.67 feet

Answers

Answer:

80 feet

Step-by-step explanation:

1 inch represents 10 feet

Then 8 inches represent = 8 × 10

= 80 feet

Help please!!!! Thank you

Answers

Answer:

E) 15pi/2

Step-by-step explanation:

The total circle area is pi*r^2. r = 6. so the total area is 6^2pi, or 36pi.

However, we are dealing with 75/360 of a circle, or 5/24 of a circle. 5/24 * 36pi = 15pi/2.

BRAINLIEST, 5 STARS AND THANKS IF ANSWERED BOTH CORRECTLY. 1. What is the 8th term of the following geometric sequence? -8, 24, -72, 216.. A. 52, 488 B. 5,832 C. 17,496 D. -17,496 ---------- 2. What is the 6th term of the following geometric sequence? 2, -14, 98, -686... A. 33,614 B. -33,614 C. 235,298 D. -235,298

Answers

Answer:

C; B

Step-by-step explanation:

The direct/explicit formula for a geometric sequence is the following:

[tex]a_n=a(r)^{n-1}[/tex]

Where aₙ represents the term n, a represents the initial value, and r represents the common ratio.

Therefore, to find the nth term, we just need to find the initial value and the common ratio.

1)

-8, 24, -72, 216...

The common ratio is the ratio between each consecutive term. Do two to confirm that they are indeed the same. Thus:

[tex]r=24/-8=-3\\r=-72/24\stackrel{\checkmark}{=}-3[/tex]

So, the common ratio is -3. And the initial value is -8. Thus, putting them into our equation:

[tex]a_n=-8(-3)^{n-1}[/tex]

Thus, the eighth term will be:

[tex]a_8=-8(-3)^{8-1}\\a_8=-8(-3)^7\\a_8=17496[/tex]

C

2)

Again, find the common ratio.

2, -14, 98, -686...

[tex]-14/2=-7\\98/-14\stackrel{\checkmark}{=}-7[/tex]

The common ratio is -7. The initial value is 2. Thus:

[tex]a_n=2(-7)^{n-1}[/tex]

And the sixth term will be:

[tex]a_6=2(-7)^{6-1}\\a_6=2(-7)^5\\a_6=-33614[/tex]

B

How many more festivals had 18 to 23 countries represented than 0 to 5 countries represented?

Answers

Answer:

3

Step-by-step explanation:

Here, by reading the histogram, we will provide answer for the question asked.

We want to know how many more festivals had 18 to 23 countries represented than 0 to 5 countries.

Checking the histogram, we can see the 0-5 countries having a value of 1, while the 18-23 has a value of 4.

So, the number of more countries will be simply 4-1 = 3

Answer:

3

Step-by-step explanation:

PLS ANSWER I WILL GIVE YOU BRAINLIST AND A THANK YOU!!

Answers

Answer:

x=45

Step-by-step explanation:

2x+45+x=180

Combine 2x and x to get 3x.

3x+45=180

Subtract 45 from both sides.

3x=180−45

Subtract 45 from 180 to get 135.

3x=135

Divide both sides by 3.

x=135/3

Divide 135 by 3

x=45

Match each system of linear equations with the correct number of solutions

Answers

Answer:

Hey there!

The first equation has no solutions, as it is parallel lines.

The second equation has infinitely many solutions, as it is basically the same line, and the two lines intersect at infinite points.

The third equation is just one solution.

Let me know if this helps :)

Answer:

1 - No solution

2 - Infinitely many solutions

3 - One solution

Step-by-step explanation:

Hey there!

Well to find if there is no solution, one solution, or infinitely many we need to look at the slope and y intercept.

1) - No solution

This is no solution because both slopes are the same meaning they are parallel meaning they have no solution.

2) - Infinitely many solutions

We need to convert into slope-intercept.

y = -x + 4

y = -x + 4

Since both slopes and y-intercepts are the same they overlap meaning they have infinite solutions.

3) - One solution

Slope-intercept,

y = -3x + 11

y = -1/3x + 1/3

Because both slopes are y-intercepts are different they have only one solution.

Hope this helps :)

The value of which of these expressions is closest to e?

Answers

Answer:

b

Step-by-step explanation:

PLEASE HELP DO TODAY IN A FRW MINUTESSS

Answers

Answer: See below

Explanation:

1a.
-4 • 1 = 8(y-5)
-4 = 8y - 40
-8y = -40 + 4
-8y = -36
Y = -36/-8
Y = 9/2

1b.
3c - 6 = -6 + 9(c+9)
3c - 6 = -6 + 9c + 81
3c - 9c = 75 + 6
-6c = 81
C = 81/-6
C = 27/-2

2a.
6(p-2) = -2 + 3
6p - 12 = 1
6p = 13
P = 13/6

2b.

3x - 4 = -3 + 4(x - 3)
3x - 4 = -3 + 4x - 12
3x - 4x = -15 + 4
-x = -11
X = 11

Suppose the population of a country is 100 people: 40 work full-time, 20 work half-time but would prefer to work full-time, 10 are looking for a job, 10 would like to work but are so discouraged they have given up looking, 10 are not interested in working because they are full-time students, and 10 are retired. What is the number of unemployed

Answers

Answer:

10

Step-by-step explanation:

Those people who are actively seeking for a job are counted as unemployed. Underemployment is not considered as unemployment. Those who have given up looking for jobs are also not considered as unemployed as well. Hence there are 10 unemployed people.

What is the rule for the transformation from triangle EFG to triangle E'F'G'?

Answers

Answer:

The rule of the transformation is 6 units up and 3 units to the right [tex]T_{(3, \ 6)}[/tex] and an horizontal dilation of 2 as well as a vertical dilation of 4.

Step-by-step explanation:

The given coordinates of EFG and E'F'G' from the chart are;

E(3, 2)

F(9, 5)

G(9, 2)

E'(6, 8)

F'(18, 20)

G'(18, 8)

Therefore, we have, given that the y-coordinates of E and G are the same, the length of segment EG = 9 - 3 = 6 units

Similarly, given that the x-coordinates of F and G are the same, the length of segment FG = 5 - 2 = 3 units

The length of segment FE =  [tex]l = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}[/tex] which gives;

Length from E(3, 2) to F(9, 5) = [tex]l = \sqrt{\left (5-2 \right )^{2}+\left (9-3 \right )^{2}} = 3 \cdot \sqrt{5}[/tex]

For similarly oriented E'F'G', we have;

E'G' = 18 - 6 = 12

F'G' = 20 - 8 = 12

E'F' = 12·√2

Therefore, the transformation is 6 units up and 3 units to the right and an horizontal dilation of 2 as well as a vertical dilation of 4.

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Here, he can compare the attributes of various makes and models, find information about the prices of various option packages, and learn the manufacturer's suggested retail prices for different cars. After deciding on the car he wants to buy, Frank visits the local showroom and negotiates with the salesperson for the model and options package he wants. Because Frank is so informed about prices, he is able to make a deal that is several hundred dollars less than the salesperson's best offer. Frank's car-buying experience illustrates which reason consumers shop online?A) convenienceB) communicationC) customizationD) choiceE) control Insert 2 sets of parentheses to make each sentence true: 2 x 14 9 17 14 = 7 (2 x 14) 9 (17 14) = 7 2 x (14 9) + ( 17 14) = 7 (2 x 14) (9 17) 14 = 7 2 x (14 9) (17 14) = 7 which specialized UNO agency is responsible for Kaskin, Inc., stock has a beta of 1.2 and Quinn, Inc., stock has a beta of 0.6. Which of the following statements is most accurate? The equilibrium expected rate of return is higher for Kaskin than for Quinn. The stock of Kaskin has more total risk than Quinn. The stock of Quinn has more systematic risk than that of Kaskin. Hey market sales six cans of food for every seven boxes of food the market sold a total of 26 cans and boxes today how many of each kind did the market sale Work out the mean for the data set below: 3, 5, 4, 3, 5, 6 Give your answer as a fraction. answer Valley Companys adjusted trial balance on August 31, its fiscal year-end, follows. It categorizes the following accounts as selling expenses: sales salaries expense, rent expenseselling space, store supplies expense, and advertising expense. It categorizes the remaining expenses as general and administrative.Debit CreditMerchandise inventory (ending) $43,500 Other (noninventory) assets 174,000 Total liabilities $50,243 Common stock 58,556 Retained earnings 83,482 Dividends 8,000 Sales 297,540 Sales discounts 4,552 Sales returns and allowances 19,638 Cost of goods sold 114,570 Sales salaries expense 40,763 Rent expenseSelling space 13,984 Store supplies expense 3,570 Advertising expense 25,291 Office salaries expense 37,193 Rent expenseOffice space 3,570 Office supplies expense 1,190 Totals $ 489,821 $489,821 Beginning merchandise inventory was $35,105. Supplementary records of merchandising activities for the year ended August 31 reveal the following itemized costs.Invoice cost of merchandise purchases $127,890Purchases discounts received 2,686Purchases returns and allowances 6,139Costs of transportation-in 3,900Required:1. Compute the companys net sales for the year.2. Compute the companys total cost of merchandise purchased for the year.3. Prepare a multiple-step income statement that includes separate categories for net sales, cost of goods sold, selling expenses, and general and administrative expenses.4. Prepare a single-step income statement that includes these expense categories: cost of goods sold, selling expenses, and general and administrative expenses. ASAP! TEST IS TIMED!!!!!!!!!!!!Which behaviors were typical of McCarthyism? Select three options.asking forceful and threatening questionsallowing people to hold any opinion about governmentforcing people out of their jobs if they were accused of supporting communismquestioning the loyalty of government workers if they agreed with communist ideasblocking people from wearing red because that meant they supported communism 11.Area of Triangle is 18 cm sq. and Sum of Base and Altitude is 12 cm. The Base and Altitude are:(1 Point)4,84cm,8cm8,48cm,4cm6,66cm,6cm10,210cm,2cm Question 13 of 25Which of the following is a correct name for a side of the given angle?DEA. Point EB. EDC. DED. Point D 10201 soldiers have queued up for an attack such that the number of queues is equal to number of the soldiers in each queue. Find number of soldiers in queue. an object is +2 m from the reference point. the object starts from rest it travels for 3 seconds and has a final position of -16 m. what is the acceleration of the object? Read the excerpts from The Royal House of Thebes Which universal theme is best represented in the excerpt?