Four different beverages are sold at a​ fast-food restaurant: soft​ drinks, tea,​ coffee, and bottled water. Explain why the type of beverage sold is an example of a categorical variable

Answer:

29) EF is  3

30) AG = 11  

31) AD = 4                            

32) m∠EFG  28°                      

33) m∠CAF = 32°

34) DF = 3                                      

Step-by-step explanation:

29) EF is given as being congruent to EG, therefore, EF = EG = 3

30) AE = EB = 8                                       Given

AG = AE + EG                                          Segment addition postulate

AG = AE + EG = EB + EG = 8 + 3 = 11      Transitive property

31) m∠EAD = m∠EBG = 19°                      Given

m∠DFG + m∠EGF + m∠EAD = 180° Sum of angles of a triangle

∴m∠DFG = 180° - (m∠EGF + m∠EAD) = 180° - (28° + 19°) = 133°

A F = 7                                                        Given

DF = EG = 3                                               Given

AD = A F - DF = 7 - 3 = 4                            From segment addition postulate  

32) m∠EFG = m∠EGF = 28°                       Given

33) m∠CAE = 51°                                         Given

m∠CAE = m∠CAF + m∠EAD               Angle addition postulate

∴ 51° = m∠CAF + 19°

m∠CAF = 51° - 19° = 32°                        Subtraction of angles

m∠CAF = 32°

34) DF = EG = 3                                       Given.

Answer:

x^2+2xh+h^2+2

Step-by-step explanation:

F(x+h)=(x+h)^2+2 = x^2+2xh+h^2+2.

Answer:

y = -1/5x + 2.6

Step-by-step explanation:

Put the equation into slope intercept form:

5x - y = 12

-y = -5x + 12

y = 5x - 12

The slope of a perpendicular line will be the opposite reciprocal.

So, the slope of the new line will be -1/5

Then, plug this slope and the given point into the equation y = mx + b to find b

y = mx + b

3 = -1/5(-2) + b

3 = 0.4 + b

2.6 = b

So, the equation will be y = -1/5x + 2.6

Answer:

  x + 5y = 13

Step-by-step explanation:

When the equation of the line is given in the form ...

  ax -by = c

The perpendicular line can be written in the form ...

  bx +ay = constant

where "constant" is found by using the given point values for x and y.

Here, your equation will be ...

  x +5y = (-2) +5(3) = 13 . . . . for point (-2, 3)

The perpendicular line through (-2, 3) is x +5y = 13.

Answer:

x=8-y

Step-by-step explanation:

Answer: 6Y

Step-by-step explanation: 4 + 1 + 1 = 6

Answer:

[tex]\huge \boxed{6y}[/tex]

Step-by-step explanation:

[tex]4y+y+y[/tex]

Rewriting y as 1y.

[tex]4y+1y+1y[/tex]

Factoring out y.

[tex](4+1+1)y[/tex]

Adding the numbers.

[tex](6)y[/tex]

Answer: 6

Step-by-step explanation:

5x - 7 = 2x + 11

-2x +7   -2x +7 because what you do to one side you have to do to the other

3x = 18 now we have x on one side and nothing else on that side

then divide by 3

18/3 = 6

Answer:

I and IV

Step-by-step explanation:

Answer:

I and IV

Step-by-step explanation:

In order to compare the two data sets with the given statements, find the mean, median, and range for each data set.

First, to compare the mean rainfall of the two cities, find the average of each city's inches of rainfall. To find the average, add up the data points and divide by the total number of points, which is 7.

Since the mean of city A is 2.21 and the mean of city B is 2.1, the mean rainfall of city A is greater than the mean rainfall of city B.

Next, determine the median rainfall for each city. To find the median of the data sets, list the data in order of least to greatest and find the middle term.

Hence, the median of city A is 2.2 and the median of city B is 1.3, so the median rainfall of city B is not half the median rainfall of city A.

In order to compare the ranges of rainfall, find the difference between the minimum and the maximum rainfall amounts for each city.

So, the range of rainfall amounts for city A is less than the range of rainfall amounts for city B.

Therefore, the statements which are true regarding the given data sets are I and IV.

Answer:

Hey there!

The value of x in this figure is 60.

Angles in a four-sided shape add to 360 degrees.

We have an angle of measure 50, an angle of measure 130, and an angle of measure 120.

50+130+120=300.

Thus, the missing angle would be 60 degrees.

Let me know if this helps :)

Answer:

x = 60

Step-by-step explanation:

The sum of the angles of a quadrilateral is 360 degrees

x+50 + 120+130 = 360

Combine like terms

300 +x = 360

x = 360-300

x = 60

Answer: 3. 4 2/3 ÷ √4/8           4. 4 2/3 - √4/8

Step-by-step explanation:

irrational number will never be changed into rational number when they do any operation with rational numbers.

4 2/3 is a rational number, which means the second term in the expression must be rational in order to make the expression entirely rational

√3 is not rational, thus, all the expressions that contains √3 is irrational.

The remaining have √4, but √4 is rational because simplifying it will become 2, and so expressions with √4 is rational

Answer:

Third and fourth.

Step-by-step explanation:

The first one is not because the second number is not rational; [tex]\sqrt{3}[/tex] is not rational.

The second one is not either for the above reason.

The third is because [tex]\sqrt{4}[/tex] is 2, which is rational.

Also the fourth for the previous reason.

And not the fifth for the first reason.

Answer:

x= 7

Step-by-step explanation:

Let the unknown number be x

[tex] {x}^{2} = 49[/tex]

Square root both sides

[tex] \sqrt{ {x}^{2} } = \sqrt{49} [/tex]

Simplify

[tex]x = 7[/tex]

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = 7}}}}}[/tex]

Step-by-step explanation:

Let the number be 'x'

Create an equation

[tex] \sf{ {x}^{2} = 49}[/tex]

Squaring on both sides

[tex] \dashrightarrow{ \sf{ \sqrt{ {x}^{2} } = \sqrt{49} }}[/tex]

[tex] \dashrightarrow {\sf{ \: x = 7}}[/tex]

Hope I helped!

Best regards!

Answer:

13 mm

Step-by-step explanation:

Given that scale from actual coin to the photo is

8 mm to 2 cm.

Distance across the coin in photo  is 3.25 cm.

To find:

Distance across the actual coin = ?

Solution:

First of all, let us learn about scaling concept.

The concept of scaling is used to represent the actual object as as image so that it can be drawn on a paper.

This scaling can result in a smaller image or a bigger image depending upon the size of object.

Here, 8 mm coin is represented as 2 cm coin on the photo.

Let us use unitary method to identify the distance across actual coin to the distance across photo.

2 cm ---- 8 mm

1 cm ------ [tex]\frac{8}{2} = 4\ mm[/tex]

3.25 cm ------- 4 \times 3.25 mm = 13 mm

Answer:

you would need to find the area of the quantity of sheet metal needed for a roof

Step-by-step explanation:

The area is used to find the quantity of sheet metal needed for a roof.

We need to check whether the perimeter or area would be used to find the quantity of sheet metal needed for a roof.

Area: Area is defined as the amount of space that is occupied by any shape, object, or flat surface. The total number of square units that can fit into a shape or object or a flat surface defines the actual area.

Perimeter: The word 'perimeter' is derived from the Greek word 'Perimetron'. 'Peri' means 'around' and 'Metron' means 'measure'. The perimeter of a shape is calculated by adding up the length of all the sides or by measuring the outer boundary of a shape or an object.

Therefore, the area is used to find the quantity of sheet metal needed for a roof.

To learn more about an area visit:

https://brainly.com/question/27683633.

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Answer:

x=31

y=15

Step-by-step explanation:

let x and y be the 2 part

x+y=46

x-2y=1 ⇒ x=1+2y

substitute :

1+2y+y=46

3y=46-1

3y=45 ⇒ y=45/3=15

x-2y=1

x-2(15)=1 ⇒ x=1+30 ⇒x=31

x= 2 times y(15)+1

y=15

31+15=46

amount saved = 129.99 - 79.99 = 50 dollars

Divide this over the original amount (129.99) to get

50/129.99 = 0.3846449726902 approximately

This rounds to 0.3846 and converts to 38.46% after you move the decimal point over to the right 2 spots.

Answer: 61.5% Or 62%

Step-by-step explanation:

79.99/129.99= .61535502730979

Move the decimal two times to the left to get 61.5%

If you round it to the nearest decimal you get 62%

Answer:

1: 119   2: 61   3: 61   4: 119   5: 119   6: 61   7: 61  

Step-by-step explanation:

Since we know that m & n are parallel we can prove which angles are congruent to angle 8 and which are supplementary

5: 119 (vertical to angle 8)

1: 119 (corresponding angles theorem

2: 61 (linear pair)

3: 61 (vertical to 2)

4: 119 (vertical to 1)

6: 61 (same sided interior angles theorem)

7: 61 (corresponding)

Answer:

This might help u.....

Answer:

5 inches

Step-by-step explanation:

The area (A) of a parallelogram is calculated as

A = bh ( b is the base and h the height )

Here A = 25, b = 5 , then

25 = 5h ( divide both sides by 5 )

5 = h

That is the height is 5 inches

Answer:

coordinate plane

Step-by-step explanation:

1.true or false :The vertical axis is called the y-axis-

Answer: draw a seconded line using a straightedge so that it intersects the first

Step-by-step explanation:

In order to ensure that the second slat is parallel to the first slat, Katie should Draw a second line using a straightedge so that it intersects the first.

Katie should use a straightedge tool to draw a second line on the diagram such that this line intersects with the first line.

This will then allow her to draw a second slate such that it is parallel to the first slat based on the dimensions provided by the second line.

Find out more on constructing parallel lines at https://brainly.com/question/13154179.

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Answer:

3.1415×10⁶

Step-by-step explanation:

Move the decimal point one digit at a time until it is after the first digit.  Count the number of times the decimal point moved.

In this case, we move the decimal point 6 places to the left.  So the scientific notation is:

3.1415×10⁶

Answer:

A

Step-by-step explanation:

if we had a economic turn down, basically people would lose money, so that means the consumers, so the producers will have a bunch of left over products because the people can't afford to buy as much, which means the company loses money, which means the employees must be let go of so the business doesn't go out of business

A] Economic Downturn could influence Employer to reduce number of workers at business.

Economic Downturn is a slowdown in economic activities for a considerable period of time. It is characterised by low demand by consumers & low production levels in businesses.

This situation implies that a rational employer would reduce the workers employed, as there is lesser demand & need of production.

Better educated workers, new location' opening, high demand of goods : are rather likely to increase employment levels instead of decreasing.

To learn more, refer https://brainly.com/question/1253307?referrer=searchResults

Answer:

9) x=58

10) r=4

11) m=4

12) p=3

13) x=6

14) x=-3

15) s=400

Step-by-step explanation:

9) x+2/5=12

    x5  x5

x+2=60

 -2  -2

x=58

10) 7r + 14 - 3r =30

    -14         -14

7r-3r=16

4r=16

÷4 ÷4

r=4

11) [tex]\frac{4}{5}[/tex]m+2=6

    -2  -2

[tex]\frac{4}{5}[/tex]m=4

÷[tex]\frac{4}{5}[/tex]  ÷[tex]\frac{4}{5}[/tex]

m=4

12) 2(5p+9)=48

10p+18=48

     -18  -18

10p=30

÷10  ÷10

p=3

13) 5(2x-8)=20

10x-40=20

    +40 +40

10x=60

÷10  ÷10

x=6

14)6(3-2x)=54

18-12x=54

-18       -18

-12x=36

÷-12  ÷-12

x=-3

15) [tex]\frac{2s}{5}[/tex]-[tex]\frac{s}{2}[/tex]=40

x5   x5

2s-[tex]\frac{s}{2}[/tex]=200

    x2 x2

2s-1s=400

1s=400

÷1  ÷1

s=400

Answer:

see below

Step-by-step explanation:

9)  x = 22

10) r = 4

11)  m = 5

12) p = 3

13) x = 6

14)  x = -3

15)  s = -400

Answer:

see explanation

Step-by-step explanation:

Using the sum/ difference → product formula

cos x - cos y = - 2sin( [tex]\frac{x+y}{2}[/tex])sin ([tex]\frac{x-y}{2}[/tex] )

sin x - sin y = 2cos ([tex]\frac{x+y}{2}[/tex] )sin ([tex]\frac{x-y}{2}[/tex] )

Given

(cosA - cosB)² + (sinA - sinB )²

= [ - 2sin([tex]\frac{A+B}{2}[/tex])sin([tex]\frac{A-B}{2}[/tex] ) ]² + [ 2cos([tex]\frac{A+B}{2}[/tex] )sin([tex]\frac{A-B}{2}[/tex] ) ]²

= 4sin² ([tex]\frac{A+B}{2}[/tex] )sin² ([tex]\frac{A-B}{2}[/tex] ) + 4cos² ([tex]\frac{A+B}{2}[/tex] )sin² ( [tex]\frac{A-B}{2}[/tex] )

= 4sin² ([tex]\frac{A-B}{2}[/tex] )[ sin² ( [tex]\frac{A+B}{2}[/tex] ) + cos² ( [tex]\frac{A+B}{2}[/tex] ) ← sin²x + cos²x = 1

= 4sin² ( [tex]\frac{A-B}{2}[/tex] ) × 1

= 4sin² ( [tex]\frac{A-B}{2}[/tex] ) = right side ⇒ proven

Answer:

Part 1: The transitive property of equality states that where given that item one is equal to item two, where item two is then equal to item three, then item one is also equal three.

Mathematically, the transitive property can be written as follows;

When X = Y, and Y = Z, then also X = Z

Part 2: The transitive property of equality can be represented using angles as follows

Given ∠A and ∠B are the base angles of an isosceles triangle, then ∠A ≅∠B  also ∠B and ∠C are vertically opposite angles, then ∠B ≅ ∠C, therefore, ∠A ≅ ∠C.

Step-by-step explanation:

Answer

Ex 3) - b

(-2, 19) (1,4)  

Ex 4) -b

(1, 3) (3, 5)

Answer:

that'd be 200............

Answer:

39

Step-by-step explanation:

195 ÷ 15 = 13

13 x 3 = 39

B or D

Either one of them

Answer:

use the straight line test

Step-by-step explanation:

use your pencil or draw a line horizontally (like this -> I )anywhere on the graph. If it's a function, it will only touch the line at one point no matter where you put the line.

Answer:

B

Step-by-step explanation:

m