What are the remaining angle measures if the figure is
to be a parallelogram?
mZB=
mZC=
m2D =

Answers

Answer 1

Answer:

The answer is given below

Step-by-step explanation:

Given that the parallelogram ABCD has m∠A = 79°

A parallelogram is a quadrilateral with two pairs of parallel lines. For a parallelogram, opposite sides of a parallelogram is equal and opposite angles are also equal. Also the diagonal of a quadrilateral bisect each other.

m∠C = m∠A = 79° (opposite angles of a parallelogram are congruent)

m∠C = 79°

m∠B +  m∠A = 180° (consecutive angles of a parallelogram are supplementary)

m∠B + 79 = 180

m∠B = 180 - 79

m∠B = 101°

m∠B = m∠D = 101° (opposite angles of a parallelogram are congruent)

m∠D = 101°


Related Questions

What solid is represented by this net? A. cylinder B. triangular pyramid C. rectangular prism D. triangular prism E. cone F. rectangular pyramid

Answers

Answer:

Triangular Prism

Step-by-step explanation:

Answer:

Triangular Prism

Step-by-step explanation:

Because I'm smart

Which expression is equal to ....

Answers

Answer:

the last one is equal to the question....

Step-by-step explanation:

Answer:

(5√11)/11 (option 1)

Step-by-step explanation:

If you multiply both the top and bottom by √11, you will get 5√11/11.

Next, make sure that the other answers are wrong.

5=√25, so

√11*5=√11*√25

So option 2 and 3 are incorrect.

#4 is obviously wrong, as you cannot simply switch the square root symbol between the denominator and numerator.

According to the diagram below, LMK = XYZ by HL. If the Pythagorean
theorem is used to show LK=XZ. congruence can also be shown by which of
the following theorems?

A. AAS
B. НА
C. LA
D. SSS

Answers

Answer: D. SSS

SSS = side side side, basically it says that if we have three pairs of congruent corresponding sides, then we have enough information to prove the triangles congruent. The first two pairs of sides are visually shown by the tickmarks. The third pair of sides is LK = XZ as found by the pythagorean theorem. The pythagorean theorem only works for right triangles.

A standard die (a six-sided cube with the numbers 1‚ 2‚ 3‚ 4‚ 5‚ and 6 on the sides) is rolled 150 times. Which of the following is the most likely number of times that a 1 or a 4 would appear? A 2 B 25 C 50 D 100

Answers

Answer:

50

Step-by-step explanation:

1÷6×150=25

1÷6×150=25

ans:25+25

=50

Convert the following numbers of calories or
kilocalories into joules or kilojoules.
a. 7845 cal
b. 4.55 x 104 cal
C. 62.142 kcal
d. 43,024 cal

Answers

Answer:

32.823 kJ190.4 kJ260.00 kJ180.012 kJ

Step-by-step explanation:

The conversion factor for food energy or thermochemical calorimetry* is ...

  1 calorie = 4.184 J

  1000 calorie = 4.184 kJ

__

a. 7845 cal = 7845·4.184 J = 32,823 J = 32.823 kJ

b. 4.55·10^4 cal = 4.55·10^4·4.184 J = 1.904·10^5 J = 190.4 kJ

c. 62.142 kcal = 62.142·4.184 kJ = 260.00 kJ

d. 43,024 cal = 43,024·4.184 J = 180,012 J = 180.012 kJ

_____

* The thermochemical calorie is defined in terms of the heat capacity of water. An international calorie of 4.1868 J is defined in terms of energy, without respect to the heat capacity of water.

If a△ b=a2+ab−b2, then find (3 △ 2) △ 13. WILL MARK BRAINLIEST PLS HELP!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

The answer is

18

Step-by-step explanation:

a ∆ b = a² + ab + b²

(3 ∆ 2)

a = 3 b = 2

(3 ∆ 2) = 3² +3(2) + 2²

= 9 + 5 + 4

= 9 + 9

= 18

Hope this helps you

Answer:  95

=====================================================

Work Shown:

First we compute 3 △ 2

a △ b = a^2 + ab - b^2

3 △ 2 = 3^2 + 3*2 - 2^2 ... replace 'a' with 3, replace b with 2

3 △ 2 = 9 + 6 - 4

3 △ 2 = 15 - 4

3 △ 2 = 11

Replace the ( 3 △ 2 ) in the original expression with 11.

We now want to find 11 △ 13

a △ b = a^2 + ab - b^2

11 △ 13 = 11^2 + 11*13 - 13^2

11 △ 13 = 121 + 143 - 169

11 △ 13 = 264 - 169

11 △ 13 = 95

Help me ASAP for this question

Answers

Answer:

The third option is your answer

Step-by-step explanation:

Because the fee is equal 6% or 0.06 of the balance  in order to find the fee you would have to times 0.06 and the balance .Therfore your equation is [tex]f=0.06b[/tex]

hope this helps, if it does please mark brainliest!!

Triangle A B C is shown. Angle A B C is a right angle. An altitude is drawn from point B to point D on side A C to form a right angle. The length of A D is 5 and the length of B D is 12. What is the length of Line segment B C, rounded to the nearest tenth?

Answers

The measure of the length of line segment BC will be 31.2 units.

What is the triangle?

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

If the two triangles are similar, the ratio of the corresponding sides will be constant.

The triangle ΔABC and ΔBDA are the similar triangle. Then the ratio of their corresponding sides will be constant.

Let x be the length of BC.

x / 12 = 13 / 5

      x = 31.2

More about the triangle link is given below.

https://brainly.com/question/25813512

#SPJ5

Answer:

31.2 units

Step-by-step explanation:

Ordered pair for this point? (I circled the point in Pink)

Answers

Answer:

(-4,-3)

Step-by-step explanation:

The first coordinate of the ordered pair is the x value or go across

to the right is positive  and the left is negative   so x = -4

The second coordinate of the ordered pair is the y value or go up and down

up is positive and down is negative  so y = -3

(-4,-3)

Answer:

(-4, -3)

Step-by-step explanation:

You can move 4 left from the x axis to get -4, and then move 3 down from the y axis to get -3, leading to the coordinates (-4, -3).

A software designer is mapping the streets for a new racing game. All of the streets are depicted as either perpendicular or parallel lines. The equation of the lane passing through A and B is -7x + 3y = -21.5. What is the equation of the central street PQ? A. -3x + 4y = 3 B. -1.5x − 3.5y = -31.5 C. 2x + y = 20 D. -2.25x + y = -9.75

Answers

Answer:

  B.  -1.5x − 3.5y = -31.5

Step-by-step explanation:

You want an equation of the line perpendicular to -7x +3y = -21.5 that goes through the point (7, 6).

When the equation of the reference line is given in this form, the equation of a perpendicular line can be found by swapping the x- and y-coefficients, and negating one of them. Swapping coefficients, we have ...

  3x -7y = constant

Negating the x-coefficient gives ...

  -3x -7y = constant

Filling in the given point values, we can find the constant:

  -3(7) -7(6) = constant = -21 -42 = -63

None of the answer choices matches this, but one does match when we divide the numbers by 2:

  -3x -7y = -63

  -1.5x -3.5y = -31.5 . . . . . . matches choice B

Answer:

y = (-3/7)x + 9

Step-by-step explanation:

IF AB has the equation -7x + 3y = -21.5, then 3y = 7x - 21.5 is equivalent.  Dividing both sides by 3 yields y = (7/3)x - 21.5/3.  This reveals that the slope of AB is 7/3 and that the slope of any line perpendicular to AB, as central street PQ is, is the negative reciprocal of the slope of AB, or -3/7.

Thus PQ, being perpendicular to AB, has the slope -3/7.  Starting with y = mx + b, and using the coordinates of P(7, 6), we get:

6 = (-3/7)(7) + b, or 9 = b, so that y = (-3/7)x + 9.

what is the area of 1/4 of a circle with a radius of 10

Answers

Answer:

78.5

Step-by-step explanation:

It is 78.5 because you first get the area of the circle, which is 314. Then divide 314 by 4 to get 78.5

The area of 1/4 of a circle with a radius of 10 is 78.5 units²

Given,

1/4 of a circle.

Radius = 10

π = 3.14

We need to find the area of 1/4 of a circle.

What is the area of a circle?

It is given as:

Area = πr²

Find the area of 1/4 of a circle.

We have,

Area of a circle = πr²

Radius = 10

1/4 area of a circle:

= 1/4 x πr²

= 1/4 x 3.14 x 10²

= 1/4 x 3.14 x 100

= 78.5 units²

Thus the area of 1/4 of a circle is 78.5 units²

Learn more about finding the circumference and area of a circle here:

https://brainly.com/question/14966973

#SPJ6

Please solve for x, and use statement reason. First correct answerer will be brainliest, + two thanks.

Answers

Answer:

x=26

Step-by-step explanation:

m<MNQ=m<P + m<Q by the EXTERIOR ANGLE THEOREM

132=3x+54 SUBSTITUTION

132-54=3x

78=3x

x=26 ALGEBRA

What is the area of the circle below? Use π = 3.14 to solve. Round your answer to the nearest hundredth. 160.36 feet² 184.96 feet² 190.56 feet² 200.96 feet²

Answers

Answer:

A =200.96 ft^2

Step-by-step explanation:

The area of a circle is given by

A = pi r^2

The radius is 8

A = pi 8^2

A = 64 pi

Letting pi = 3.14

A = 64 ( 3.14)

A =200.96 ft^2

Answer:

[tex]\boxed{\mathrm{200.96 \: feet^2}}[/tex]

Step-by-step explanation:

Apply formula for the area of a circle.

[tex]area=\pi r^2[/tex]

The radius is 8 ft.

[tex]A=\pi (8)^2[/tex]

[tex]A=64\pi[/tex]

Take [tex]\pi[/tex] as 3.14

[tex]A=64(3.14)[/tex]

[tex]A=200.96[/tex]

The owner of a minor league baseball team has found that when he charges an average of $13.00 per seat, the average attendance is 810 fans per game. He noticed that for every $2.00 increase in average ticket price, the attendance decreased by an average of 27 fans per game. Which equation shows the revenue, R, as a function of d, the number of $2.00 increases over $13.00? A. R(d) = -54d2 + 1,269d + 10,530 B. R(d) = -54d2 - 1,269d - 10,530 C. R(d) = 54d2 + 1,269d D. R(d) = 27d2 + 459d + 10,530

Answers

Answer:

The correct answer is A. R(d) = -54d2 + 1,269d + 10,530

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Price per seat when the average attendance is 810 fans = $ 13

For every $2.00 increase in average ticket price, the attendance decreased by an average of 27 fans per game.

2.  Which equation shows the revenue, R, as a function of d, the number of $2.00 increases over $13.00?

R(d) = (13 + 2d) (810 - 27d)

R(d) = 10,530 + 1,620d - 54d² - 351d

R(d) = -54d² + 1,269d + 10,530

The correct answer is A. R(d) = -54d2 + 1,269d + 10,530

Create the smallest cone possible with the tool and record the values of the radius height and volume in terms of pi then scale the original cone by the given factors and record the resuling volumes

Answers

Answer:

PLATO sample answer

Step-by-step explanation:

.

Answer:

Step-by-step explanation:

Which is the equation of a parabola with focus (0, 5) and directrix y= -1?

Answers

Answer:

Can you include more detail like the equations to choose from so I can help

Step-by-step explanation:

Algebra 1!!
x=2y and 2x+3y=21
-solve the given system of equations by substitution
answers-
a. x=6, y=-3
b. x=6, y=3
c. x=3, y=3
d. x=3, y=6

Answers

Answer:

[tex]\huge\boxed{b.\ x=6;\ y=3}[/tex]

Step-by-step explanation:

[tex]\left\{\begin{array}{ccc}x=2y&(1)\\2x+3y=21&(2)\end{array}\right\\\\\text{Substitute (1) to (2):}\\2(2y)+3y=21\\4y+3y=21\qquad\text{combine like terms}\\7y=21\qquad\text{divide both sides by 7}\\\dfrac{7y}{7}=\dfrac{21}{7}\\\boxed{y=3}\\\\\text{Substitute it to (1):}\\x=2(3)\\\boxed{x=6}[/tex]

Answer: (6, 3)

Explanation: Our first equation tells us that x means the same thing as 2y so we can replace the x in the second equation with a 2y.

Our second equation then becomes 2(2y) + 3y = 21.

If we simplify on the left side we get

4y + 3y = 21 which simplifies to 7y = 21.

Solving from here, we find that y = 3.

To find x, plug 3 back in for y in the first equation

to get x = 2(3) which simplifies to x = 6.

So our answer is (6, 3).

What does 3 3/5 * 2 5/7 equal

Answers

Hey there! I'm happy to help!

First, let's turn these into improper fractions. We keep the denominators and to find the new numerator you multiply the denominator by the whole number and add then numerator.

[tex]\frac{18}{5} *\frac{19}{7} =\frac{342}{35} =9\frac{27}{35}[/tex]

Therefore, the answer is 9 27/35. Now you can multiply mixed numbers!

Have a wonderful day!

Answer:

As a mixed number the answer to your question will be 9 27/35 or 6 3/7

The steps will be below.

Step-by-step explanation:

You first have to convert theses mixed numbers to fractions.

3 3/5 ,multiply the 5x3=15 and add the 3 which will be 18/5.

Since we converted 3 3/5 to a fraction now it’s 2 5/7 turn!

2 5/7 will be 19/7 because 7x2=14 and 14+5 will give us 19/7.

Finally since we have our two fractions (18/5) and (19/7), it’s time to find the answer!

Now if we multiply both of the factions we get the answer.

18/5 X 19/7

= 9 27/35 or 6 3/7

(For 6 3/7 we have to multiply the whole numbers and the fractions to get that answer)

Hope this helps!

Convert 18 ft to yards

Answers

Answer:

6 yds

Step-by-step explanation:

We know there are 3 ft in 1 yd

Divide  by 3 ft

18 ft / 3 ft = 6 yds

Answer:

6 yards

Step-by-step explanation

1 yard= 3 feet

*DIFFICULT QUESTION, PLEASE ANSWER ASAP * *MAKE SURE YOU PROVIDE DETAILS* Without knowing their diameters, which sporting ball has the smaller surface area--a golf ball or a tennis ball? Explain how you know.

Answers

Answer:

Golf ball

Step-by-step explanation:

The formula for the surface area of a sphere is 4[tex]\pi[/tex]r².  The variable is the radius.  Therefore, the sphere with the smallest radius would have the smallest surface area.

Hi there!! (✿◕‿◕)

⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐

Golf ball. The formula for surface area of a sphere is 4πr². The sporting ball that has the smaller surface area is golf ball because it has a smaller radius.

Hope this helped!!  ٩(◕‿◕。)۶

1. The perimeter of a rectangle is 230 cm. If the length of the rectangle is 70 cm, find its breadth and area.

Answers

Answer:

Step-by-step explanation:

Feel pleasure to help u...

Answer:

Breadth: 45 cm.

Area: 3,150 cm^2.

Step-by-step explanation:

The perimeter is 230. Since the length of the rectangle is 70 cm, and 70 * 2 = 140, the sum of the two breadths will be 230 - 140 = 90. That means that the breadth is 90 / 2 = 45 cm.

If the breadth is 45, and the length is 70, then the area is 45 * 70 = 3,150 cm^2.

Hope this helps!

Find the area of a rectangle whose length is 12cm and width 6cm A. 720cm² B. 702cm² C. 722cm² D. 72cm² I will mark you us brainliest

Answers

Area = length x width

Area = 12 x 6 = 72 cm^2

Answer is D

Answer:

The answer is option D.

72cm²

Step-by-step explanation:

Area of a rectangle = length × width

From the question

length = 12 cm

width = 6 cm

Area = 12cm × 6cm

We have the final answer as

72cm²

Hope this helps you

A 5cm x 11cm rectangle sits inside a circle with radius of 12 cm. What is the area of the shaded region? Round your final answer to the nearest hundredth.

Answers

Answer:

Step-by-step explanation:

area of shaded region = 3168/7 - 55 = 397.5cm^2 (app)= 0.397cm^2 ( since we have to round to nearest hundredth

Answer:

The answer is

397.40 cm²

Step-by-step explanation:

To find the area of the shaded area first find the area of both the rectangle and the circle and subtract the smaller one from the larger one.

that's

For the rectangle

Area of rectangle = length × width

From the question

length = 5cm

width = 11 cm

So we have

Area of rectangle = 5cm × 11cm = 55cm²

For the circle

Area of a circle = πr²

where r is the radius

From the question

r = 12 cm

Area of circle = π (12)²

= 144π

= 452.40 cm²

Area of shaded figure

Since the area of the rectangle is smaller than that of the circle we subtract the area of the rectangle from the circle

That's

452.40 cm² - 55cm²

= 397.40 cm² to the nearest hundredth

Hope this helps you

Write the equations after translating the graph of y = | 1/2x−2|+3, one unit to the right

Answers

[tex]y=|\dfrac{1}{2}x-2|+3[/tex]

Since we are translating this graph one unit to the right, replace x with (x-1)

Note: If you are translating a graph to the left by k units, replace x with (x+k), and if by the right, replace x with (x-k)

[tex]y=|\dfrac{1}{2}(x-1)-2|+3[/tex]

After simplifying, we now have the following equation:

[tex]=|\dfrac{1}{2}x-\dfrac{5}{2}|+3[/tex]

This is the new equation. Let me know if you need any clarifications, thanks!

Answer:

we are given

y=|2x|-1

we are given to translate this equation

Whenever we translate any function to right side by 'c' units

we can replace x as x-c

Here , we have to translate one unit right

so, we can replace x as x-1

and we get

y=| 2( x-1 ) | 1

Hope this helps <3

Help me ASAP for this question? Which group of numbers is in order from smallest to largest?

69% 3/4 0.08
0.08, 35% 2/5
7/10 0.85, 79%
0.17 3/20 37%

Answers

Answer:

the second one

Step-by-step explanation:

when turning a percentage into a fraction put it over 100. I then turned that into a decimal which was 0.35. 2/5 is 0.4 which is also equal to 0.40

Solve:
3x - 9 = 5(x-3)

Answers

Hi,

[tex]3x - 9 = 5(x-3)\\3x - 9 - 5(x-3)= 0\\3x -9 -5x +15 =0\\6-2x=0\\6=2x\\x=3[/tex]

Have a good day.

What is the surface area of the rectangular pyramid below? 13,13,13

Answers

Answer:

1,014

Step-by-step explanation:

Assuming those 13’s represent the Length and Width of the sides of the prism, the equation would be

13x13x6 (6 sides)

=1014

Answer:

507

Step-by-step explanation:

apeex

1. Flight 202's arrival time is normally distributed with a mean arrival time of 4:30
p.m. and a standard deviation of 15 minutes. Find the probability that a randomly
arrival time will be after 4:45 p.m.

2. Using the data from question #1, what is the probability that a randomly
selected flight will arrive between 4:15 pm and 2:00 pm? *

3. Using the data from question #1, what is the probability of a randomly selected
flight arriving AFTER 5:00 pm? *



someone pls help

Answers

Answer:

Step-by-step explanation:

1) Let the random time variable, X = 45min; mean, ∪ = 30min; standard deviation, α = 15min

By comparing P(0 ≤ Z ≤ 30)

P(Z ≤ X - ∪/α) = P(Z ≤ 45 - 30/15) = P( Z ≤ 1)

Using Table

P(0 ≤ Z ≤ 1) = 0.3413

P(Z > 1) = (0.5 - 0.3413) = 0.1537

∴ P(Z > 45) = 0.1537

2)  By compering (0 ≤ Z ≤ 15) ( that is 4:15pm)

P(Z ≤ 15 - 30/15) = P(Z ≤ -1)

Using Table

P(-1 ≤ Z ≤ 0) = 0.3413

P(Z < 1) = (0.5 - 0.3413) = 0.1587

∴ P(Z < 15) = 0.1587

3) By comparing P(0 ≤ Z ≤ 60) (that is for 5:00pm)

P(Z ≤ 60 - 30/15) = P(Z ≤ 2)

Using Table

P(0 ≤ Z ≤ 1) = 0.4772

P(Z > 1) = (0.5 - 0.4772) = 0.0228

∴ P(Z > 60) = 0.0228

Krista was assigned a homework problem that stated there were 45 stamps purchased for $18.75. Some stamps were 40 cents, and some stamps were 55 cents. To solve this problem, she wrote the system of equations that is shown below. 0.40 x + y = 45. x + 0.55 y = 18.75. Which explains the error that Krista made? Krista put 0.40 in the first equation meant for the number of stamps. Krista put 0.55 in the second equation meant for the value of stamps. Krista did not use the correct decimal to represent the total cost of the stamps. Krista mistakenly put 45 in the first equation when it should have been in the second equation.

Answers

Answer:

Option A.

Step-by-step explanation:

there were 45 stamps purchased for $18.75. Some stamps were 40 cents, and some stamps were 55 cents.

Let x and y be the number of stamps of 40 cents and 55 cents respectively.

Total number of stamps is 45. So

[tex]x+y=45[/tex]

Total cost of stamps is $18.75. So

[tex]0.40x+0.55y=18.75[/tex]

But Krista wrote the system of equations as

[tex]0.40x+y=45[/tex]

[tex]x+0.55y=18.75[/tex]

Krista put 0.40 in the first equation meant for the number of stamps.

Krista did not write 0.40 in the second equation meant for the value of stamps.

Therefore, the correct option is A.

Answer:

The answer is A

Step-by-step explanation:

TOOK THE TEST!

Which equation can be used to find AB?

Answers

Answer:

cos 42 = 10 / AB

Step-by-step explanation:

Since this is a right angle, we can use trig functions

cos theta = adjacent / hypotenuse

cos 42 = 10 / AB

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Katrina owns a dance studio and offers four classes a day for $28.00 each, with 10 people maximum per class. If she decides to offer a 25% discount on the two morning classes offered one day, and all four classes reach the maximum number of people attending, how much money will Katrina make that day? A small fruit basket with 6 apples and 6 oranges costs $7.50. A different fruit basket with 10 apples and 5 oranges costs $8.75. If x is the cost of one apple and y is the cost of one orange, the system of equations below can be used to determine the cost of one apple and one orange. 6x+6y=7.50 10x+5y=8.75 What is the cost of one apple? write a letter to your local government chairman telling him telling him the poor transport system in your community "King Philip" or Metacom Group of answer choices fought alongside of George Washington at the Battle of Fort Necessity was Powhatan's main river for control of the Chesapeake led a revolt against Puritans in New England in the late 1600s was an early convert to Christianity and a firm friend of the Puritans A biology class wanted to study the effect of different materials on the melting rate of ice. They placed pieces of ice, each with a mass of 10g, onto trays. Group 1 was covered in plastic, group 2 was covered in paper, group 3 was covered in aluminum, and group 4 remained uncovered. Each piece of ice was allowed to melt for 15 minutes. Then final mass of the ice, minus the melted water, was recorded at the end of the experiment. What is the dependent variable in this experiment? You have a standard number cube. What is the probability of rolling a number less than 3, and then rolling a prime number? A. 1/3 B. 1/2 C. 1/36 D. 1/6 .......................... What is the average of 3/8 + 2/4 + 5/8 + 7/8 + 1 1/8 + 1 5/8 + 1 7/8 + 4 The polynomial function F(x)= 2x^2 +4 has a critical point at which of thefollowing x-values? A. X=0B. X=4C. X=2D. X=-2 Hey loves!!! Can any of you lovely people help me with this question? 6th grade math , help me please :) Please HelpShow Work Consider the following equation. x^2 - 4 x - 1 = 0 To complete the square, first rewrite the equation as x^2 - 4 x = 1. What value would then be added to both sides of the equation to complete the square? (Enter an exact number.) Given that Arccos (3/2)=, what are all the angle measurements for right triangle ABC? Dylan open a credit card account with $725 of available credit now that he has made some purchases Dillons account has only $442.25 of available credit what is the percentage decrease of the amount of available credit and Dillons account? An exterior angle of a triangle is equal to the sum of________ opposite angle Question 6 of 8 >Calculate the standard enthalpy change for the reaction at 25 C. Standard enthalpy of formation values can be found in thislist of thermodynamic properties.H2O(g) + C(graphite)(s)H2(g) + CO(g)KJIcontact usabout usprivacy policy | terms of use |I helpcareersQ5:24 PM8/2/2020 Following are selected account balances from Penske Company and Stanza Corporation as of December 31, 2018:Penske StanzaRevenues 700,000 400,000Cost of goods sold 250,000 100,000Depreciation expense 150,000 200,000Investment income Not given __Dividend declared 80,000 60,000Retained earnings 600,000 200,000Current assets 400,000 500,000 Copyrights 900,000 400,000Royal agreements 600,000 1,00,0000 Investment in stanza ---- -------Liabilities 500,000 13,80,000Common stock 600,000 200,000Additional paid capital 150,000 80,000 On January 1, 2018, Penske acquired all of Stanza's outstanding stock for $680,000 fair value in cash and common stock. Penske also paid $10,000 in stock issuance costs. At the date of acquisition, copyrights (with a six-year remaining life) have a $440,000 book value but a fair value of $560,000.a. As of December 31, 2018, what is the consolidated copyrights balance?b. For the year ending December 31, 2018, what is consolidated net income?c. As of December 31, 2018, what is the consolidated retained earnings balance?d. As of December 31, 2018, what is the consolidated balance to be reported for goodwill? A bakery works out a demand function for its chocolate chip cookies and finds it to be q = D(x)= 760-13x, where q is the quantity of cookies sold when the price per cookie, in cents, is x. Required:a. Find the elasticity.b. At what price is the elasticity of demand equal to 1?c. At what prices is the elasticity of demand elastic?d. At what prices is the elasticity of demand inelastic? Solve for xxx. Your answer must be simplified. 7>x/4