If triangle DEF and triangle MNO are two triangles such that DE = MN and EF = No, which of the following would be sufficient to prove the triangles are congruent?

A DE/MN = EF/NO
B DE=DF
C angle D = angle m
D angle E = angle N

Answers

Answer 1

Answer:

The answer is D

angle E=angle N

Answer 2

As N and E are the corresponding angles between those equal sides D. angle E = angle N is sufficient to prove that the triangles are congruent.

What is congruency?

Congruency is geometry that states similarities between two or more figures generally with their respective sides and angles.

We know we can prove that two triangles are congruent by sides and angles.

Given that DEF and MNO are two triangles and side DE = MN and side EF = NO, in which angles N and E lie between those two sides and therefore we can apply SAS( side angle side) congruency to prove that they are congruent.

learn more about congruency here :

https://brainly.com/question/7888063

#SPJ6


Related Questions

help i’ll give brainliest!

Answers

F would be 1. G would be 4. E would be negative 3

A quantity with an initial value of 310 grows continuously at a rate of 8.5% per second. what is the value of the quantity after 1.2 minutes, to the nearest hundredth?

Answers

The value of the quantity after 1.2 minutes, to the nearest hundredth, is 313.56

What is the calculated quantity?

A quantity is a measurable attribute of a particular thing or group of objects. One quantity might be more than, less than, or equal to another quantity when comparing them. Quantity is a notion that is used frequently in both mathematics and the sciences.

A quantity cannot be a property that cannot be compared. The conventional format for presenting a quantity is as the product of a magnitude and a unit.

According to the question,

Initial value of the quantity=310

Rate of growth= 8.5% per second

Value of the quantity after 1.2 minutes,

=[tex]310(1+\frac{8.5}{100}) ^{1.2*60}[/tex]

=[tex]310(\frac{108.5}{100})^{72}[/tex]

=313.56

Learn more about quantity here:

https://brainly.com/question/809966

#SPJ4

Answer:

141008.06

Step-by-step explanation:

Select the correct answer. Which function has a domain of all real numbers?
y = -x + 5 y = -2(3x) ³ O A. B. OC. y = CD. y = (x + 2)² (2x) ³ (2x) - 7​

Answers

The function that has a domain of all real numbers is:

A. [tex]y = 2x^{\frac{1}{3}} - 7[/tex].

What is the domain of a function?

The domain of a function is the set that contains all possible input values for the function.

If a function has an even root, equivalent to an exponent of [tex]\frac{1}{n}[/tex] with n even, the domain is only positive values, while if the exponent is odd, the domain is all real values.

Researching the problem on the internet, the function with odd exponent is:

A. [tex]y = 2x^{\frac{1}{3}} - 7[/tex].

More can be learned about the domain of a function at https://brainly.com/question/10891721

#SPJ1

Determine the (x, y) coordinates of the vertex of the parabola that represents each of the following functions:​

Answers

The vertices of the parabolae are:

(h, k) = (- 3, - 1)(h, k) = (1, - 9)(h, k) = (4, 1)(h, k) = (3/4, 9/4)(h, k) = (- 3, 2)(h, k) = (0, 36)(h, k) = (7/2, 9/4)(h, k) = (5, - 1)(h, k) = (1, - 3)(h, k) = (- 1/2, 1)

How to find the coordinates of the vertex of a parabola

Parabolae are represented by quadratic equations. In this problem we have parabolae in standard form and we need to determine its vertex form to find the needed information. Now we summarize the forms of quadratic equations:

Standard form

y = a · x² + b · x + c     (1)

Vertex form

y - k = C · (x - h)²     (2)

Please notice that (x, y) = (h, k) represents the vertex of the parabola.

To change quadratic equations from standard form into vertex form we need to apply algebraic handling:

y = x² + 6 · x + 8

y + 1 = x² + 6 · x + 9

y + 1 = (x + 3)²

(h, k) = (- 3, - 1)

y = x² - 2 · x - 8

y + 9 = x² - 2 · x + 1

y + 9 = (x - 1)²

(h, k) = (1, - 9)

y = - x² + 8 · x - 15

y = - 1 · (x² - 8 · x + 15)

y - 1 = - 1 · (x² - 8 · x + 16)

y - 1 = - 1 · (x - 4)²

(h, k) = (4, 1)

y = - 4 · x² + 6 · x

y = - 4 · [x² - (3/2) · x]

y + (- 4) · (9/16) = - 4 · [x² - (3/2) · x + 9/16]

y - 9/4 = - 4 · (x - 3/4)²

(h, k) = (3/4, 9/4)

y = x² + 6 · x + 11

y - 2 = x² + 6 · x + 9

y - 2 = (x + 3)²

(h, k) = (- 3, 2)

y = - x² + 36

y - 36 = - x²

(h, k) = (0, 36)

y = - x² + 7 · x - 10

y = - (x² - 7 · x + 10)

y + (- 1) · (9/4) = - (x² - 7 · x + 49/4)

y - 9/4 = - (x - 7/2)²

(h, k) = (7/2, 9/4)

y = x² - 10 · x + 24

y + 1 = x² - 10 · x + 25

y + 1 = (x - 5)²

(h, k) = (5, - 1)

y = 2 · x² - 4 · x - 1

y = 2 · (x² - 2 · x - 1/2)

y + 2 · (3/2) = 2 · (x² - 2 · x + 1)

y + 3 = 2 · (x - 1)²

(h, k) = (1, - 3)

y = - 4 · x² - 2 · x

y = - 4 · [x² + (1/2) · x]

y + (- 4) · (1/4) = - 4 · [x² + (1/2) · x + 1/4]

y - 1 = - 4 · (x + 1/2)²

(h, k) = (- 1/2, 1)

To learn more on parabolae: https://brainly.com/question/21685473

#SPJ1

Determine the number of terms in the sequence: –45, –32, –19, –6, ..., 124.

Answers

Step-by-step explanation:

[tex] - 32 + 45 = 13 \\ t_{n} = ( a_{1} + (n - 1)d) \\ \\ d = 13 \: \: a_{1} = - 45[/tex]

[tex] t_{n} = - 45 + (n - 1)13 = = = > \\ - 45 + 13n - 13 = = = > \\ t_{n} = 13n - 58[/tex]

and now

[tex]124 = 13n - 58 = = = > \\ 182 = 13n = = = > n = 14[/tex]

The number of terms in the sequence: –45, –32, –19, –6, ..., 124 = 9.

The common difference is -45 - (-32)= 13

                                                  d = 13.

What is arithmetic progress?

AP is a sequence of numbers in order, in which the difference among any two consecutive numbers is a constant cost. it's also referred to as mathematics series.

using arithmetic progress:-

last term = (n-1)d

first term(a) = –45

    term = a + (n-1)d

there is a difference of 13, so the sequence will be

–45, –32, –19, –6,7, 20, 33, 46, 59, 72, 85, 98, 111, 124.

∴ number of terms = 9

Learn more about arithmetic sequence here:-https://brainly.com/question/6561461

#SPJ2

                       

The prime factors of 13195 are 5, 7, 13 and 29. What is the largest prime factor of the number 600851475143 ?

Answers

Answer:

The prime factors of 13195 are 5, 7, 13 and 29. The largest prime factor of the number 600851475143 is 6857

What is the logarithmic form of 13^2=169

Answers

The logarithmic form of 13^2=169 is [tex]\log_{13}(169) = 2[/tex]

How to determine the logarithmic form?

The equation is given as

13^2=169

Take the logarithm of both sides

log(13^2) = log(169)

This gives

2log(13) = log(169)

Divide both sides by log(13)

[tex]\log_{13}(169) = 2[/tex]

Hence, the logarithmic form of 13^2=169 is [tex]\log_{13}(169) = 2[/tex]

Read more about logarithmic forms at:

https://brainly.com/question/1870106

#SPJ1

Which system models this situation? y = 26x and y = 8,400(x-500)2 15,900 y = 26x and y = -0.030(x-500)2 15,900 y = x/26 and y = -0.030(x-500)2 15,900 y = x/26 and y =8,400(x-500)2 15,900

Answers

The option B is a correct option which is y = 26x and y = -0.030(x-500)2 15,900 represent the quadratic and linear function.

According to the statement

we have given that Vertex

(h,k) = (500, 15900)

And One of the points on the graph

(x,y) = (0,8400)

FIRST PART: we have to find the quadratic function

We can find the quadratic function by parabola's equation formula

y = a (x - h)² + k  -(1)

Input the numbers to the formula, to find the value of a

y = a (x - h)² + k

8400 = a(0 - 500)² + 15900

8400 = a (500)² + 15900

8400 = 250000a + 15900

-250000a = 15900 - 8400

-250000a = 7500

a = 7500/-250000

a = 0.03

Now,

Submit a to the formula (1)

y = a (x - h)² + k

y = 0.03 (x - 500)² + 15900

this is the quadratic equation.

SECOND PART: Find the linear function

the total cost = cost each helmet × the number of helmet

y = 26x

So,

The option B is a correct option which is y = 26x and y = -0.030(x-500)2 15,900 represent the quadratic and linear function.

Learn more about quadratic and linear function here https://brainly.com/question/25841119

Disclaimer: This question was incomplete. Please find the full content below.

Question: A company plans to sell bicycle helmets for $26 each. The company's business manager estimates that the cost, y, of making x helmets is a quadratic function with a y-intercept of 8,400 and a vertex of (500, 15900)

x= number of helmets

y = amount in dollars

Which system models this situation?

a) y = 26x and y = 8,400(x-500)2+15,900

b) y = 26x and y = -0.030(x-500)2+15,900

c) y = x/26 and y = -0.030(x-500)2+15,900

d) y = x/26 and y =8,400(x-500)2+15,900

#SPJ4

Answer:

B. y = 26x and y = -0.030(x-500)2+15,900

Step-by-step explanation:

Solve kx-2=7 for x. A. x=5/k B. x=9k C. x=9-k D. x=9/k ​

Answers

Answer:

the answer is D- 9/k

Answer:

D- 9/k

Step-by-step explanation:

A sculpture is formed from a square-based pyramid resting on a cuboid. The base of the cuboid and the base of the pyramid are both squares of side 3 cm. The height of the cuboid is 8 cm and the total height of the sculpture is 15 cm. The total mass of the sculpture is 738 g. The cuboid-part of the sculpture is made of iron with density 7.8 g/cm³. The pyramid is made from copper. Calculate the density, in g/cm³, of the copper.​

Answers

Answer:

7.8g/cm

Step-by-step explanation:

Find the missing side lengths. Show work.
x=______ y=_____

Answers

X = 5
Y = 6
Simply we just compare the two shapes and we can see that 6 decreases to 4..so we would assume the rest would decrease by 2. If we were not so sure we could simply do a^2 + b^2 = c^2 and fill in the numbers

I think of a number. i add 7 to it and then divide by 10. my answer is 3.8. what number did i start with

Answers

Answer:

31

Step by step:

You need to do it in reverse:

Devidng Becomes multiplying so its 3.8x10=38

Then same for this + = - do its 38-7=31

So answer is 31

find the equation of the straight line with ng gradient and points. b) - 1/2, (2,3)​

Answers

Answer:

[tex]y = -\frac{1}{2} x+4[/tex]

Step-by-step explanation:

Standard form for equation of line: y = mx + c

where m = gradient or slope

c = y-intercept

From the question we know that,

x = 2

y = 3

m = - 0.5

We will substitute these values into the equation to find c.

3 = (-0.5)(2) + c

3 = - 1 + c

c = 3 + 1 = 4

Therefore the equation of this line is [tex]y = -\frac{1}{2} x+4[/tex]

Kiran is driving on a long road trip. he currently has 13 gallons of gas in his car. each hour that he drives, his car uses up 2 gallons of gas. how much gas would be in the tank after driving for 5 hours? how much gas would be left after t t hours?

Answers

Step-by-step explanation:

"t t hours" ????

you mean 11 hours ?

13 gallons now.

2 gallons are used (and therefore disappear from the tank) per hour.

so, in 5 hours 5×2 = 10 gallons will be used.

that leaves 13 - 10 = 3 gallons in the tank.

in 11 hours 11×2 = 22 gallons would have been used.

but there are only 13 gallons in the tank.

so, if he does not fill up, he will have 0 gallons left after 11 hours. in fact, already after 13/2 = 6.5 hours.

the point :

when you use 2 gallons per hour, that means in t hours you are using t × 2 or 2t gallons.

Please solve for X: 11/2-x = 1/3 + 1/6

Answers

Answer: 5

Step-by-step explanation:

11/2-x = 1/3 + 1/6

-x+11/2 = 1/2

   - 11/2   - 11/2

-x = -5

Divide -1 by both sides

And it gives you the answer 5.

At a coffee shop, the manager recorded the number of customers who visited the store at the end of each hour. The graph shows the recordings for a 24-hour period. The function describing this graph is a transformation of the parent sine function, y=sin(x)
Which value is closest to the amplitude of the transformed function?

O 83 customers
O 27 customers
O 54 customers
O 30 customers

Answers

Based on the transformed function of y = sin(x) and the given parameters, the value that is closest to the amplitude of the transformed function is 54

Which value is closest to the amplitude of the transformed function?

The amplitude of the function is calculated

Amplitude = Highest  - Lowest

From the graph, we have the following points

Highest = 84

Lowest = 30

Substitute the known values in the above equation

Amplitude = 84 - 30

Evaluate the difference

Amplitude = 54

Based on the transformed function of y = sin(x) and the given parameters, the value that is closest to the amplitude of the transformed function is 54

Read more about amplitude at:

https://brainly.com/question/10700288

#SPJ1

Please help me i need to turn this in soon and i don't understand

Answers

circumference of the mirror = 175.84 cm

area of the mirror = 2461.76 cm²

The measure needed to find the amount of wire round the mirror is the circumference.

The measure needed to find the amount of glass needed is the area.

How to find area and circumference of a circle?

The circumference and area of a circle can be found as follows:

circumference of the mirror = 2πr

circumference of the mirror = 2 × 3.14 × 28 = 175.84 cm

area of the mirror = πr²

area of the mirror = 3.14 × 28²

area of the mirror = 2461.76 cm²

The measure needed to find the amount of wire round the mirror is the circumference.

The measure needed to find the amount of glass needed is the area.

learn more on circle here: https://brainly.com/question/16125353

#SPJ1

Simplify: 2n (n^2 + 3n + 4)

Answers

Answer:

2n^3 + 6n^2 + 8n

Answer: It's 2n^3 + 6n^2 + 8n

Step-by-step explanation:

In which quadrant is the point ( - 2, 3) located?
O Quadrant II
Quadrant III
O Quadrant I
O Quadrant IV

Answers

ANSWER:

Quadrant ll

________________________________

________________________________HOPE IT HELPS

Area=
Help me please asap thanks

Answers

Answer:

10 unit^2.

Step-by-step explanation:

The base of the triangle (CE)

= 6 - 2 = 4 units

The height = 5

Area = 1/2 * 4 * 5

= 10 unit^2.

Answer:

10

Step-by-step explanation:

area = hight ×base÷2

hight = 5-0

= 5

base = 6-2

= 4

area = 4×5÷2

=10

Rearrange the equation so q is the independent variable.
-7q+12r=3q-4r

Answers

Rearranging the equation so q is the independent variable is; q = -1.6r

How to change the subject of a subject?

We are given the expression;

-7q + 12r = 3q - 4r

Since we want to make q the subject, let us rearrange the equation with variables having q on the left and others on the right side to get;

-7q - 3q = -4r - 12r

-10q = -16r

q = 16r/10

q = -1.6r

Read more about change of subject at; https://brainly.com/question/657646

#SPJ1

The equation i= ;δv / r is called __________.

Answers

Answer:

Step-by-step expl

2.73 A,16.3 V

At the DVD rental store, Jamie found 6 DVDs that she wanted, but can only rent 4. How many possible choices can she make

Answers

At the DVD rental store, Jamie found 6 DVDs that she wanted, but can only rent 4. Jamie can make 15 possible choices, as per combinations of DVDs.

Number of Possible Combinations:

Given Information is as follows,

Total number of DVDs that Jamie wanted, n = 6

Number of DVDs Jamie can rent at a  time, x =4

The Combinations formula is given as,

ⁿCₓ = n! / (n-x)! x!

Here, n = 6 and x = 4

Substituting these values of n and x in the Combinations formula, we get,

⁶C₄ = 6! / (6-4)! 4!

⁶C₄ = 6! / 2! 4!

⁶C₄ = 6×5×4! / 2! 4!

⁶C₄ = 6×5 / 2

⁶C₄ = 3×5

⁶C₄ = 15

Thus, Jamie can make 15 possible combinations of DVDs.

Learn more about combinations here:

https://brainly.com/question/13387529

#SPJ1

On the 405 freeway one can travel 65 miles per hour (mph), how many kilometers per hour (kph) is the car travelling

Answers

Answer:

104.607kph

Step-by-step explanation:

Conversion from mph to kph = 1.609mph

Solve for x in the diagram below.

Answers

Answer:

x = 20

Step-by-step explanation:

2x°

(x + 10)°

little box on the bottom left means this is a right angle which is 90°

add up all the angles and make it equal to 90°

( x° + 2x° + (x + 10)° ) = 90°

4x + 10 = 90

4x = 80

x = 20

Step-1: Understanding the Diagram

Since we can see the "square" at the bottom left corner of the angle, the square indicates that the angle is a right angle (which measures 90°).

We can also see three smaller angles forming the right angle. Therefore, the sum of the measure of the smaller angles = 90°.

According to the diagram, the measures of the smaller angles are x°, 2x°, and (x + 10)° respectively. Then we get the following equation:

[tex]\implies x + 2x + (x + 10) = 90\°[/tex]

Step-2: Solving the equation obtained in step-1

Here, we had the equation: [tex]\underline{x + 2x + (x + 10) = 90\°}[/tex]

[tex]\implies x + 2x + x + 10 = 90\°[/tex]              [tex]\text{(Ope} \text{ning the parentheses)}[/tex]

[tex]\implies 4x + 10 = 90\°[/tex]                             [tex]\text{(Combining like terms)}[/tex]

[tex]\implies 4x + 10 - 10 = 90 - 10[/tex]          [tex]\text{(Subtracting 10 on both sides)}[/tex]

[tex]\implies 4x = 80[/tex]                                    [tex]\text{(Simplifying both sides)}[/tex]

[tex]\implies \dfrac{4x}{4} = \dfrac{80}{4} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \text{(Dividing 4 on both sides)}[/tex]                            

[tex]\implies \boxed{x = 20}[/tex]                                      [tex]\text{(Simplifying both sides)}[/tex]

Therefore, the value of x, in the diagram provided, is 20.

Please help and explain!!!

Answers

As x increases, y value decreases.

The rate of change for y as a function of x is decreasing, therefore the function is a decreasing function.

For all values of x, the function value y, decreases to 0.

The y intercept of the graph is the function value y=8

When x=1, the function value y=5.

From the given graph, it is clear that the curve is decreasing for all values of x. Hence, the rate of change of the give curve is decreasing.

Therefore, the giving function is called as decreasing function.

Since, the function is decreasing for all values of x, the value of y decreases to 0.

Form the graph, it is clear that the y-intercepts is at y=8.

Also, the value of y at x=1 is 5 from the graph.

Learn more about Intercepts of graph on

https://brainly.com/question/12324426

#SPJ1

Which quadratic function is in standard
form?

Answers

Answer:

  h(x) = 2x² -8x -10

Step-by-step explanation:

In the US, a quadratic is in standard form when the terms are listed in order of decreasing degree.

In the UK, a quadratic is in standard form when it is written in vertex form.

__

US

The only function with terms in order of decreasing degree is ...

  h(x) = 2x² -8x -10

UK

All of the functions except the last are written in vertex form:

f(x) = (x +1)² +0 . . . . . . . . would usually be written f(x) = (x +1)²y(x) = -(x -6)² +16g(x) = -3(x -3)² +4

__

Additional comment

Since the question asks about one function, we assume it is from the perspective of the US understanding of standard form. The point here is that "standard form" may vary from one tradition to another. (The "standard form" for numerical values varies by tradition, as well.)

If x =2 y=3 z=4 solve the following

x² + y²

Answers

Answer:

13

Step-by-step explanation:

Given x = 2, y = 3 and z = 4. We'll evaluate the value of x² + y² with given condition.

First, remind that we are only given the expression of x-term and y-term only and therefore, z-term is not included - it's not to be considered.

Substitute x = 2 and y = 3 in the expression:

[tex]\displaystyle{2^2+3^2 = 4+9}\\\\\displaystyle{4+9 = 13}[/tex]

Hence, the value of x² + y² when x = 2 and y = 3 is 13.

Please let me know if you have any questions!

Is there a way to find the intersections only by the equations?
I just know how to find the intersections by graphing them.

Answers

Answer:

see explanation

Step-by-step explanation:

to find the intersection equate g(x) and h(x) , that is

(x + 7)(x - 5) = x - 5 ← expand left side using FOIL

x² + 2x - 35 = x - 5 ( subtract x - 5 from both sides )

x² + x - 30 = 0 ← in standard quadratic form

(x + 6)(x - 5) = 0 ← in factored form

equate each factor to zero and solve for x

x + 6 = 0 ⇒ x = - 6

x - 5 = 0 ⇒ x = 5

substitute these values into either g(x) or h(x) for corresponding values of y

substituting into h(x)

h(- 6) = - 6 - 5 = - 11 ⇒ (- 6, - 11 )

h(5) = 5 - 5 = 0 ⇒ (5, 0 )

Ellen has a bag with 3 red marbles and 2 blue marbles in it. she is going to randomly draw a marble from the bag 300 times, putting the marble back in the bag after each draw. how many times do you predict that the marble picked will be blue using the theoretical probability?

Answers

The blue marble is predicted to be picked 120 times, in the experiment of picking a marble from a bag containing 3 red and 2 blue marbles and performing this experiment 300 times, using the theoretical probability.

The theoretical probability of any event is the ratio of the number of favorable outcomes to the event, to the total number of possible outcomes in the experiment.

If we have an event A, the number of favorable outcomes to event A as n, and the total number of possible outcomes in the experiment as S, then the theoretical probability of event A is given as:

P(A) = n/S.

In the question, we are given that Ellen has a bag with 3 red marbles and 2 blue marbles in it. She is going to randomly draw a marble from the bag 300 times, putting the marble back in the bag after each draw.

We are asked the predict the number of times that the marble picked will be blue using the theoretical probability.

Let the event of picking a blue marble be A.

The number of favorable outcomes to event A (n) = 2 {The total number of blue marbles in the bag}.

The total number of possible outcomes in the experiment of picking a ball (S) = 5 {The total number of marbles in the bag}.

Thus, the theoretical probability of event A is,

P(A) = n/S = 2/5 = 0.4.

To predict the number of times marble picked was blue, we multiply the time's the experiment was performed by the theoretical probability of picking a blue ball.

Thus, the predicted number of times = 300 * 0.4 = 120.

Thus, the blue marble is predicted to be picked 120 times, in the experiment of picking a marble from a bag containing 3 red and 2 blue marbles and performing this experiment 300 times, using the theoretical probability.

Learn more about theoretical probability at

https://brainly.com/question/3396097

#SPJ4

Other Questions
What is the circumference of a circle if d = 7 feet? Use 3.14 for 43.98 feet18.85 feet47.12 feet21.98 feet PLS NEED HELP WITH 3 AND 4 What is the identity of the planets?A: B: C: D: Why do particles with different masses have the same kinetic energy when at the same temperature? Which of these is the best estimate of 68 x 1 7 Find 6m if m = 5/136 5/13 52 4/125/78 Pleaseee helpp !!! Its a essay read the instructions i will give the brainlest Many states assess skills of their students in various grades. One program that is available for this purpose is the NAEP. One of the tests provided by the NAEP assesses the reading skills of 12th grade students. In a recent year, the national mean score was 288 and the standard deviation was 38. Assuming the scores are approximately normal, give a range of scores that includes 99.7% of these students.Required:How high a score is needed to be in the top 25% of students who take this exam (use technology)? HELP ASAP PLEASE!!! Sagar sold a watch at Rs.400 that he had purchased at Rs.500.what is hispercentage loss?a. 15%b. 20%c.25%d. 30% Last year Viera Corp had $155,000 of assets, $305,000 of sales, $20,000 of net income, and a debt-to-total-capital ratio of 37.5%. The new CFO believes a new computer program will enable it to reduce costs and thus raise net income to $33,000. Assets, total invested capital, sales, and the debt to capital ratio would not be effected. By how much would the cost reduction improve the ROE? Pls help it is due today Newton's 2nd Law is F= ma. Write a problem that gives the mass and the acceleration of an object and asks us to find the force. Please answer this question with a complete answer how to factor this expression x^3 - 4x^2 + 4x - 16 A set of pens sells for $5.25 and costs $1.80 to make. Forty percent of the profit (the difference between the purchase price and the amount it costs to make) from each set of pencils goes to a school. If 1200 sets are sold, what is the amount of money that will go to the school? Classify the real numbers as rational or irrational numbers. Winnie and Angela are going to Switzerland for vacation. They go to the Bank of Geneva in Switzerland to exchange all their money from Canadian Dollars (CAD$) to Swiss Francs (SFr.). The exchange rate is CAD$1.00 = SFr. 0.9321. After exchanging their money, Winnie and Angela have SFr. 256.34 Swiss Francs. How much Canadian money did they bring with them to Switzerland?show your work please Using the data from the table to finish constructing the dot plot, how many dots should be placed for the value 2?A)2B)D) Which instrument would make rice vibrate easier, a tuba or a flute? Explain why. Hint: think about the difference between high and low notes in terms of vibrating atoms.