A polygon ABCD is inscribed in a circle. Find m angle D A B.

A Polygon ABCD Is Inscribed In A Circle. Find M Angle D A B.

Answers

Answer 1

Answer: [tex]\Large\boxed{\angle DAB=62^\circ}[/tex]

Concept:

Here, we need to know about the idea of a cyclic quadrilateral.

In a cyclic quadrilateral, the sum of either pair of opposite angles is supplementary, which means they add up to 180°.

Please refer to the attachment below for a graphical explanation

Solve:

Given information

∠DAB = 2x + 4

∠ABC = 4y + 4

∠BCD = 4x + 2

∠CDA = 3y + 8

Derived formula from the concept

∠DAB + ∠BCD = 180°

∠ABC + ∠CDA = 180° (Not Important)

Substitute values into the formula that includes ∠DAB

∠DAB + ∠BCD = 180°

(2x + 4) + (4x + 2) = 180

Combine like terms

2x + 4 + 4x + 2 = 180

2x + 4x + 4 + 2 = 180

6x + 6 = 180

Subtract 6 on both sides

6x + 6 - 6 = 180 - 6

6x = 174

Divide 6 on both sides

6x / 6 = 174 / 6

x = 29

Substitute values into the angle expression of ∠DAB

∠DAB = 2x + 4

∠DAB = 2 (29) + 4

∠DAB = 58 + 4

[tex]\Large\boxed{\angle DAB=62^\circ}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

A Polygon ABCD Is Inscribed In A Circle. Find M Angle D A B.

Related Questions

the area of a piece of land is 4.08km^2. it is bought at a piece of $6000 per square km. calculate the total cost of the land, giving our answer to the nearest $100

Answers

Answer:

22480.000

Step-by-step explanation:

Cost of 1km²=6000

So,

Cost of 4.08km²=6000x4.08

=22480.000

I don't know what nearest $100 means tho maybe nearest hundredth but I'm not sure.

The total cost nearest 100 is = $22500.

What is area?

Modern mathematics heavily relies on the concept of area. The area is the quantity that shows the amount of space occupied by a two-dimensional figure or shape or planar lamina in the plane. Simply put, the area is the amount of cloth or other material with the specified thickness needed to build a model of the form or the quantity of paint required to cover the shape's surface in a single layer, or "coat," of paint.

According to the given Information:

Cost of 1km2 = 6000

So,

Cost of 4.08km2 = 6000 * 4.08

                              =  22480.000

Rounding off to 100;

Cost = 22500.00

Hence,

Total cost of the land nearest 100 is = $22500.

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I need help finding the quotient of this equation in simplified form.

Answers

by breaking it down u can write it as

15p^-4/_20p^-12 * q^-6/q^-3

15/-20=-3/4

using law of indices we have

-3/4p^-4+12 * q^-6+3

-3/4p^8q^-3

the answer is the first own

HELPPPP (x-y)^3-(y-x)^2

Answers

Answer:

(x-y)(x-y)(x-y)= x²-yx+x²-yx-yx+y²-yx+y²

2x²-4yx+2y²

(y-x)(y-x)= y²-yx-yx+x²

y²-2yx+x²

-(y²-2yx+x²) = -y²+2yx-x²

2x²-4yx+2y²-y²+2yx-x²= x²-2yx+y²

or

(x−y−1)(x−y)² ≡ x³−x²+3xy²+2xy−y³−y²−3yx³

True or false? the patient should be given a receipt for payments on account even if the account is not paid in full.

Answers

Answer:

Step-by-step explanation:

true

Answer:

False because the account isn't full

What percent of zachary's pay do his deductions comprise? round your answer to the nearest whole percent.

Answers

The percentage of Zachary's pay due to his deductions comprise exists 18.724%.

How to estimate the deduction percentage for Zachary?

Zachary exists supposed to earn a paycheck of $20,160.00 but instead, he acquires a lesser amount of money due to deductions. The money he acquires after deductions exists at $16,385.31.

Money deducted = Original paycheck amount - deductions

= $20,160.00 - $16,385.31

= $3,774.69.

So Zachary obtains a deduction of $3,774.69.

To estimate the percent of deductions in terms of his pay we divide the deduction cost with the original paycheck amount and multiply it by 100 to transform it into a percentage.

Deduction % = ($3,774.69 / $20,160.00) [tex]*[/tex] 100

= 0.1872366 [tex]*[/tex] 100

= 18.72366%

We obtain the deduction percentage as 18.724%.

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(3x^{4} +3x^{3}+5x^{2})-(x^{4}-6x^{3}+5x^{2} )

Answers

Answer: x^{3}(2x+9)

Step-by-step explanation:

Eliminate redundant parentheses:

(3x^{4}+3x^{3}+5x^{2})-1(x^{4}-6x^{3}+5x^{2})

3x^{4}+3x^{3}+5x^{2}-1(x^{4}-6x^{3}+5x^{2})

Distribute:

^{4}+3x^{3}+5x^{2}{-1(x^{4}-6x^{3}+5x^{2})}

3x^{4}+3x^{3}+5x^{2}

Combine like terms UNTIL YOU FIND ONE FACTOR

35 Points + Brainest

Answers

Answer:

5/12a + 1/3b

Step-by-step explanation:

2/3a + 1/6b + (-1/6a) + 3/18b + (-1/12a)

[2/3a + (-1/6a) + (-1/12a)] + [3/18b + 1/6b]

5/12a + 1/3b

What are the parentheses doing in this sentence? Javier (in spite of his reservations) decided to go to the house party. Choose 1 answer: Choose 1 answer: (Choice A) A Showing a comment the writer is making (Choice B) B Showing an interruption in dialogue

Answers

The parentheses role in the sentence of Javier (in spite of his reservations) decided to go to the house party is that it shows a comment the writer is making.

What is parentheses?

The parentheses is known to be a kind of a word or phrase that is said to be often inserted as a form of an explanation or what we call an afterthought into what the writer is meaning to say or portray.

Note that the statement is not grammatically complete without the use of it hence it is often used in writing and marked off by the use of brackets, dashes, or commas.

Therefore, The parentheses role in the sentence of Javier (in spite of his reservations) decided to go to the house party is that it shows a comment the writer is making.

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You have $30 to buy muffins. However, at the shop you can buy 1 muffin for $4. (a) Write an inequality from the above information. (b) Solve this inequality to find the number of muffins you can buy. (c) How much money will you have left over?​

Answers

Answer:

Let m be the number of muffins.

a) 4m <= 30

b) m <= 7.5, so the maximum number of muffins to buy is 7.

c) $4 × 7 = $28, so $2 will be left over.

In the expansion of (3a + 4b)8, which of the following are possible variable terms? Explain your reasoning.


a2b3; a7b; ab8; b8; a4b4; a6b2; a3b4; a8

pls help

Answers

The terms b⁸, a⁶ · b², a⁴ · b⁴, a⁷ · b and a⁸ are part of the expansion of (3 · a + 4 · b)⁸.

How to find the missing terms of a power polynomials

In this case, we have to expand a power binomial by means of the Pascal's triangle, which offers a useful and quick resource to expand expressions of this kind, now we proceed to present the result of this approach:

(3 · a + 4 · b)⁸ = 6 561 · a⁸ + 69 984 · a⁷ · b + 326 592 · a⁶ · b² + 870 912 · a⁵ · b³ + 1 451 520 · a⁴ · b⁴ + 1 548 288 · a³ · b⁵ + 1 032 192 · a² · b⁶ + 393 216 · a · b⁷ + 65 536 · b⁸

Such combinations of products between variables a and b are also supported by the theorem of the binomial. Finally, the terms b⁸, a⁶ · b², a⁴ · b⁴, a⁷ · b and a⁸ are part of the expansion of (3 · a + 4 · b)⁸.

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Consider this equation.

Use the graph to find the approximate solutions to this equations

Answers

The equation be 2(x-2)-5=√x+3-1 then the graphical solution of the equations exists approximately x = 3 and x = 6.

What is the solution of the equation?

The solution of an equation creates that equation true.

The equation of can be simplified, therefore:

2(x-2)-5=√x+3-1

simplifying the above equation, we get

2x -9 =√x+2

4 x²-37x + 79 = 0

The graphical solution of the equations exists at approximately x = 3 and

x = 6

In ending, the solution of an equation makes the equation true.

Therefore, the graphical solution of the equations exists approximately x = 3 and x = 6

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Use the laplace transform to solve the given initial-value problem. y'' − 6y' 13y = 0, y(0) = 0, y'(0) = −9

Answers

The Laplace transformation of given equation is [tex]y=-\frac{9}{2}e^{3t}\sin \left(2t\right)[/tex].

According to the statement

we have given that the equation and we have to find the Laplace transformation of that equation.

So, For this purpose, we know that the

Laplace transformation is an integral transform that converts a function of a real variable to a function of a complex variables.

And the given equation is

y'' − 6y' + 13y = 0, y(0) = 0, y'(0) = −9

To convert into the Laplace transformation

firstly find the single derivative of given equation in the Laplace transformation and put y = -9 in this.

And now find second derivative of given equation in the Laplace transformation.

And and put y = 0 in the given equation.

After the Laplace transformation give value as a Laplace transformation is [tex]y=-\frac{9}{2}e^{3t}\sin \left(2t\right)[/tex].

So, The Laplace transformation of given equation is [tex]y=-\frac{9}{2}e^{3t}\sin \left(2t\right)[/tex].

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In quadrilateral qrst, angle r s t measures (5x 15)°. angle tqr measures (4x 3)°. circle p is inscribed with quadrilateral q r s t. what is the measure of angle rst?

Answers

The measure of the angle rst is [tex]105^{o}[/tex].

What is the inscribed quadrilateral theorem?

According to the theorem, a quadrilateral can be inscribed by a circle if and only if its opposing angles are supplementary. A quadrilateral that may be encircled by a circle is known as a cyclic quadrilateral.

The sum opposite angles of a quadrilateral is 180 degrees.

We can see that the angles rst and angle tqr are opposite angles of quadrilateral qrst, hence supplementary angles.

Therefore,

<RST + <TQR = 180

5x+15 + 4x+ 3 = 180

9x + 18 = 180

9x = 180 - 18

9x = 162

x = 162/9

x = 18

Since <RST = 5x+15

<RST = 5(18) + 15

<RST = 90 + 15

<RST = 105degrees

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Una estrategia de cálculo mental con
números decimales consiste en buscar
parejas de números cuya suma sea un
número entero. Aplica esta estrategia para
calcular mentalmente:
a. 15,75 + 1,2 + 0,25
b. (–1,8) + 2,45 + (–0,20)
c. 3,5 + 11,8 + 12,5
d. 7,38 – 1,5 + 2,62

Answers

Esta estrategia se puede aplicar sumando  15,75 + 0,25, –1,8 + –0,20, 3,5 + 12,5 y 2,62 + 7,38 antes de sumar el tercer número dado en cada caso.

¿En qué consiste está estrategia?

La estrategia propuesta consiste en sumar dos números decimales que den como resultado un número entero antes de sumar el tercer número decima. Por ejemplo si teneos  1,4 + 0,6  + 1,2, se debe sumar primero 1,4 + 0,6 lo que es igual a 2 antes de sumar el 1,2.

¿Por qué utilizar esta estrategia?

Este estrategia es beneficiosa porque facilita sumar números decimales.

¿Cómo aplicar está estrategia?15,75 + 1,2 + 0,25 = 16 (0,25+15,75) + 1,2 = 17,2 (–1,8) + 2,45 + (–0,20) = -2 (-1,8-0,20) + 2,45 = 0,453,5 + 11,8 + 12,5 = 16 (12,5+3,5) +11,8 = 27.87,38 – 1,5 + 2,62 = 10 (7,38+2,62) + 2,62 = 12,62

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I need help with this question

Answers

Answer:

2.72 / 16 x 28 = $4.76

Step-by-step explanation:

Since they give you $2.72 for 16 ounces you put in:

2.72 / 16 x 28 = $___

Then you just solve it to get $4.76:

2.72 / 16 = 0.17

0.17 x 28 = 4.76

A student is constructing a pair of perpendicular lines using a compass and ruler. Here are her first steps:

Step 1: The student draws her first line and labels it l. She marks a point A (not on the first line) for the second line to pass through.

Step 2: She puts the compass point on A and draws an arc that intersects l at two points. She labels the points B and C.

Step 3: Without changing the compass setting, she puts the compass point on B and draws a large arc.

What should be her next step?

Answers

The next step she should take is to use her ruler to join the given point to the point where the arcs intersect.

Steps in constructing perpendicular linesPlace your compass on the given point Draw an arc across the line on each side of the given point. Do not adjust the compass width when drawing the second arcFrom each arc on the line, draw another arc on the opposite side of the line from the given point. The two new arcs will intersect.Use your ruler to join the given point to the point where the arcs intersect.Use your compass and ruler to draw a perpendicular line from each given point to the line segment

From this, we can deduce that her next step is to use her ruler to join the given point to the point where the arcs intersect

Thus, the next step she should take is to use her ruler to join the given point to the point where the arcs intersect.

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math related!!!! What are the restrictions on the variable
in the quotient

Answers

Letter A yng tamang sagot

See my explanation in the pic

Help me for this easy question which is no for me!!!!

Answers

Answer:

4c=12

c=3

Step-by-step explanation:

Since 4c's make up one 12, it is safe to assume that 4c=12. This results in c=3 once simplified.

Answer:

4c = 12.

Step-by-step explanation:

There are 4 of the same objects marked c.

Is there anyone who help me in my math work

Answers

Answer:

LCM=72

Step-by-step explanation:

l.c.m by prime factorization

a)18,24

factor of 18=2*3*3

factor of 24=2*2*2*3

common and remaining factor=2*3*3*2*2= 72

Quick algebra 1 question for 10 points!


Only answer if you know the answer, quick shout-out to tariqareesha2 and MrBrainly, tysm for the help!

Answers

Answer:

B) x-intercept: (6, 0)

   y-intercept: (0, 7)

Step-by-step explanation:

Given equation: [tex]7x + 6y = 42[/tex]

What are the x- and y-intercepts?

The x-intercept is the point where the line intersects the x-axis. In short, it is when y = 0 — [tex](x, y) \Rightarrow (x, 0)[/tex]. The y-intercept is where the line intersects the y-axis, which is when x = 0 — [tex](x, y) \Rightarrow (0, y)[/tex].

Find the x-intercept (by substituting 0 for y):

[tex]\\\implies 7x + 6y = 42\\\\\implies 7x + 6(0) = 42\\\\\implies 7x = 42\\\\\implies \dfrac{7x}{7}=\dfrac{42}{7}\\\\\implies \boxed{x=6}[/tex]

Coordinate: [tex](6, 0)[/tex]

Find the y-intercept (by substituting 0 for x):

[tex]\\\implies 7x + 6y = 42\\\\\implies 7(0) + 6y = 42\\\\\implies 6y = 42\\\\\implies \dfrac{6y}{6}=\dfrac{42}{6}\\\\\implies \boxed{y=7}[/tex]

Coordinate: [tex](0, 7)[/tex]

A man gets Rs. 40 for everyday he works, but is fined Rs. 10 for everyday he is absent If he got Rs. 700 at the end of 30 days. How many days he was absent from the work?​

Answers

Answer:

50 days

Step-by-step explanation:

40×300=1200

1200-700

500

so 1 day is 10 . 50 days is 500

The number of days he was absent from work will be 50 days

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that a man gets Rs. 40 for every day he works, but is fined Rs. 10 for every day he is absent If he got Rs. 700 at the end of 30 days.

The number of days he was absent from work will be calculated as below:-

40×300 = 1200

             = 1200-700

             = 500

1 day is 10 then 50 days is 500. Therefore, the number of days he was absent from work will be 50 days

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Eight and one-half foot-pounds of work is required to compress a spring 4 inches from its natural length. Find the work required to compress the spring an additional one-half inch. (Round your answer to two decimal places.) ft-lb

Answers

Using proportions, it is found that the work required to compress the spring an additional one-half inch is of 1.0625 ft-lb.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

For 4 inches, 8.5 ft-lb of work is needed, hence for a single inch the amount needed is:

8.5/4  = 2.125.

Hence for half an inch, the amount if:

0.5 x 2.125 = 1.0625 ft-lb.

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complete the remainder of the table for the given function rule.

Answers

Answer:

following the (x,y) coordinate system,

(0,4) ; (1,1) ; (2,-2)

Step-by-step explanation:

youre given the value of the x variable in the table, so all you need to do is substitute x and follow pedmas!! hope this helps<3

Use a right-hand sum with 4
intervals to approximate the area
under f(x) = 4 - x² between
x = 0 and x = 2.

Answers

Answer:

17 / 4

Step-by-step explanation:

To find the right sum, you need to....

Step #1: Find Δx

Step #2: Find [tex]x_k[/tex]

Step #3 Make the right-hand sum equation: ∑[tex]^n_{k=1}f(x_k)[/tex]Δx

Step #4: Solve the right-hand sum equation

Select the correct answer. What is the value of the limit lim x 2 (x^2+3x+1/x^3+x+1) ? A. B. 1 C. D.

Answers

So by direct evaluation we can see that the limit when x tends to 2 is equal to 1.

How to get the value of the limit?

Here we want to get the limit:

[tex]\lim_{x \to \ 2} \frac{x^2 + 3x + 1}{x^3 + x + 1}[/tex]

First, we can try to evaluate directly in x = 2 and see if it does not generate any problem, we will get:

[tex]\lim_{x \to \ 2} \frac{x^2 + 3x + 1}{x^3 + x + 1} = \frac{2^2 + 3*2 + 1}{2^3 + 2 + 1} = 1[/tex]

So by direct evaluation we can see that the limit when x tends to 2 is equal to 1.

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a. A number is doubled and then increased by 2, the result is equal to 14 more than
5 times the number. What is the number?

Answers

Answer:

OK

Let x=the number

2x=double the number

2x+5=the doubled number increased by 5

And we are told that this equals -47

sooooo

2x+5=-47 subtract 5 from each side2x=-47-5=-52

2x=-52

x=-26------the number

CK

2*(-26)=-52

-52 increased by 5=-52+5=-47

-47=-47

Hope this helps- Clara ☆*: .。. o(≧▽≦)o .。.:*☆

Step-by-step explanation:

❄ Hi there,

let us start by letting the number be r. The problem tells us that r is doubled and then increased by 2.

This is what it looks like –

[tex]\triangleright \ \sf{2r+2}[/tex]

Also the result is 14 more than 5r.

We end up with an equation that looks like this –

[tex]\triangleright \ \sf{2r+2=14+5r}[/tex]

To find the number we should solve the equation for r –

[tex]\large\begin{gathered} \sf{2r+2=14+5r} . \ Solve \ for \ r: \\ \sf{2r-5r+2=14}\\ \\ \sf{-3r+2=14}\\\sf{-3r=14-2}\\\sf{-3r=12}\\\sf{-r=4}\\\sf{r=-4}\end{gathered}[/tex]

Find using appropriate Properties:
6/7 x -2/3 + 3/5 + 5/8 x -6/7

Answers

The simplified form of the expression is given as 83x/56 -(97/105)

Finding the value of unknown variables

Alphabets are usually represented as unknown variables in a equation or expression.

Given the following expression shown below

6/7 x -2/3 + 3/5 + 5/8 x -6/7

Collect the like terms to have;

6/7 x+ 5/8 x  -2/3 + 3/5 -6/7

Simplify

48x+35x/56 - (70-63 + 90)/105

The final expression will be given as;

83x/56 -(97/105)

Hence the simplified form of the expression is given as 83x/56 -(97/105)

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Find the explicit form of the arithmetic function of p if the first term is 12 and the common difference is 2. Then find the seventh term.

Answers

The explicit form of the arithmetic function as described is; f(p) = 2(p-1) + 12. and the seventh term is; 24.

What is the seventh term of the arithmetic function?

Since it follows from the task content, that the first term is 12 and the common difference is 2.

It therefore follows from convention that the explicit function is; f(p) = 2(p-1) + 12 and by substituting n= 7 into, the equation, we have; f(7) = 24.

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help!!!! if u don't know DONT answer PLEASE. ty!

Answers

We have to fill in the table that we have in the question with the following values as the solution

a. log6⁰, log 2 . 1, log 8/3

b. log 1 .4 , 1 , log 4. 6

c. log 9/2, log 3. 5 , log 5⁷

How to find the logarithm of a number

To do this, you have to decide on that particular number that you want to find the logarithm on. Next you have to find the base of that number.

The logarithm of the number is the power that it would have to be raised for us to obtain a different number.

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I NEED HELP WITH THIS ASAP! Find x and y

Answers

Answer: D

Step-by-step explanation: a^2+b^2=c^2

so use y value for b2 and 6 square root 3 as a and check with it.

Other Questions
Legal intoxication means not having __________ of your mental and physical faculties. Which of the following would NOT affect a baby's size?A. Both parents are very small.B. The father eats poorly during the pregnancy.C. Mother smokes while pregnant.D. The mother eats poorly during the pregnancy.Reset Selection In a triangle, the measure of the first angle is twice the measure of the second angle. The measure of the third angle is 76 more than the measure of the second angle. Use the fact that the sum of the measures of the three angles of a triangle is 180 to find the measure of each angle. The new director of special events at a large university has decided to completely revamp graduation ceremonies. Toward that end, a PERT chart of the major activities has been developed. The chart has five paths with expected completion times and variances as shown in the table. Graduation day is 16 weeks from now. Use Table B and Table B1. Path Expected Duration (weeks) Variance A 10 1.21 B 8 2.00 C 12 1.00 D 15 2.89 E 14 1.44 Click here for the Excel Data File Assuming the project begins now, what is the probability that the project will be completed before: (Round your z-value to 2 decimal places and all intermediate probabilities to 4 decimal places. Round your final answers to 4 decimal places.) a. Graduation time? b. The end of week 15? c. The end of week 13? Which two continents was Constantinople right in-between? what do you think Millicent will say to the sorority sisters write dialogue that Millicent might say Select the correct answer what are the solutions of this quadratic equation x^2+8x+3=0 (04.07 MC)Read the prompt. Then, choose the option with the correct demonstrative adjective.Blanche and Omar did not want the ball at their feet, nor the one a few feet from them. They wanted the ball on top of the farthest shelf at the store.Los nios queran aquel baln de ftbol.Los nios queran aquella baln de ftbol.Losaios queran esa baln de ftbol.Los nios queran ese baln de ftbol. Read the following excerpt from Levitt and Dubners Freakonomics.Despite all the attention paid to rogue companies like Enron, academics know very little about the practicalities of white-collar crime. The reason? There are no good data. A key fact of white-collar crime is that we hear about only the very slim fraction of people who are caught cheating. Most embezzlers lead quiet and theoretically happy lives; employees who steal company property are rarely detected.With street crime, meanwhile, that is not the case. A mugging or a burglary or a murder is usually tallied whether or not the criminal is caught. A street crime has a victim, who typically reports the crime to the police, who generate data, which in turn generate thousands of academic papers by criminologists, sociologists, and economists. But white-collar crime presents no obvious victim. From who, exactly, did the masters of Enron steal? And how can you measure something if you dont know to whom it happened, or with what frequency, or in what magnitude?The excerpt helps the authors support their conclusion byevaluating a logical fallacy.providing statistical evidence.presenting logical statements.summarizing their claim. A company earned $6,125 in net income for october. its net sales for october were $17,500. its profit margin is:__________ 2. Work in pairs and decide what use the verb in each sentence expresses The average-fixed-cost curve is always declining. how does this affect the relationship between the avc and atc curves? A computer store decides to increase the prices of all the items it sells by 15%. the store manager uses matrices to prepare the new price list. matrix a contains the unit price of each product in each category. matrix b contains the revised price of each item in each category. how can the manager obtain the entries for matrix b? a. by adding 15 to each entry of matrix a b. by multiplying each entry of matrix a by 15 c. by multiplying each entry of matrix a by 1.15 d. by multiplying each entry of matrix a by 0.15 Please solve this now. Everything is attached in the file. You need to provide a full solution. Thanks Does anyone know the last two? Match the correct property to the equation showing that property. A(n) __________ is a layer of protein or glycoprotein that exhibits a pattern resembling floor tiles. Determine whether or not the lines are parallel based on thegiven angle measures. Explain your answer in the case. What are the positive and negative attributes of 2 of major sources of crime data (explain)? Drugs that have anti-inflammatory, analgesic, and antipyretic activities include:______ Use the root test to determine the convergence or divergence of the series. (if you need to use or , enter infinity or infinity, respectively. ) [infinity] 1 nn n = 1