Which statement describes the basis for the proof that vertical angles are congruent?

Answer:

B

Step-by-step explanation:

graph A has 1 y- intercept at (0, 1 )

graph B has a y- intercept at (0, 2 ) and an x- intercept at (- 3, 0 )

graph C has an x- intercept at (2, 0 )

graph D has an x- intercept at (2, 0 )

graph B has exactly one x- intercept and one y- intercept

If the concert is 2 hours and 45 minutes long, then the length of time for which the orchestra is played is; 132 minutes.

It follows from task content that the length of time for which the orchestra is played be determined by proportion.

Since the number of minutes in 1 hour 30 minutes is; 90 minutes while the number of minutes in 2 hour 45 minutes; 165 minutes.

It therefore follows from proportion that the time for which the orchestra is played in a 2 hours and 45 minutes is;

72/90 = x/165

x = (165 × 72)/90

x = 132 minutes.

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The value of x in the given diagram is 16

From the question, we are to determine the value of x

In the given diagram,

|WX| = |WY| =

∴ ΔWXY is an isosceles triangle

By the Isosceles triangle theorem, we have that the base angles of an isosceles triangle are equal

Thus,

∠X = ∠Y

62° = (4x - 2)°

Now, solve for x

62° = (4x - 2)°

62 = 4x - 2

62 + 2 = 4x

64 = 4x

x = 64/4

x = 16

Hence,

The value of x is 16

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The time it would take Michael Scott to ship all the boxes is 4 hours.

In order to determine the hours it would take to ship all the boxes, divide 48 boxes by the number of boxes shipped per hour.

Division is the mathematical process that is used to group a number into equal parts using another number. The result of the division process is known as quotient. The sign that is used to represent division is ÷. Other operations that are used in mathematics include addition, multiplication and subtraction.

Time it would take to ship all the boxes of paper = total number of of boxes / boxes shipped per hour

48 / 12 = 4 boxes per hour

Here is the complete question:

Michael Scott has 48 boxes of paper and 12 boxes are shipped out of his warehouse every hour. How many hours would it take to ship all the boxes?

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The most appropriate choice for Percentage will be given by

What is percentage?

Suppose there is a number and the number has to be expressed as a fraction of 100. Then that number is called percentage.

For example, 2% means [tex]\frac{2}{100}[/tex]

Here,

Let the number be x

On increasing x by 10%, result = [tex]x + \frac{10}{100} \times x[/tex]

                                                  = [tex]x + \frac{x}{10}[/tex]

                                                  = [tex]\frac{10x +x}{10}[/tex]

                                                  = [tex]\frac{11x}{10}[/tex]

Now on increasing his answer by 10 %, result =

                                                                            [tex]\frac{11x}{10}+\frac{10}{100}\times \frac{11x}{10}\\\frac{11x}{10} + \frac{11x}{100}\\\frac{110x + 11x}{100}\\\frac{121x}{100}[/tex]

Total increase in number = [tex]\frac{121x}{100} - x[/tex]

                                           = [tex]\frac{121x-100x}{100} \\[/tex]

                                           = [tex]\frac{21x}{100}[/tex]

Percentage increase = [tex]\frac{\frac{21x}{100}}{x} \times 100[/tex]

                                   = 21%

Percentage increase overall = 21 %

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Answer:5

Step-by-step explanation:

[tex]\frac{40}{8}[/tex]   simplify it and you get 5

Answer: So, Do 8 divided by 40 is 0.2

Step-by-step explanation:

Answer:3.37

Here hope this helps

Answer:

-1/12

Step-by-step explanation:

7/12 -2/3 = - 1/12

Check

-1/12+2/3=7/12

B= 81 sq. ft

B= 9C

Wc= 3 ft

Lc= ?

9C = 81

C = 9

C= L * W

9= L * 3

L = 3 ft

Answer:

3 ft

Step-by-step explanation:

Area of bedroom = 81 ft^2

Arear of closet = Area of bedroom/ 9

= 81/9= 9 ft^2

9= width × length

length = 9÷ width = 9 ÷ 3 = 3

Answer:

27 x 34 = 918

Step-by-step explanation:

27 x 10 = 270

270 + 270 = 540

540 + 270 = 810

27 x 2 = 54

54 x 2 = 108

810 + 108 = 918

The actual length of the bus is 45 feet.

Given that, a scale drawing of a school bus has a scale of 1/2 inch to 5 feet.

Scale factor is a number by which the size of any geometrical figure or shape can be changed with respect to its original size.

Here, [tex]4\frac{1}{2} = \frac{9}{2}[/tex]

Let the actual length of the bus be x.

Now, the proportion is

1/2 : 5 :: 9/2 : x

⇒ x/2 = 45/2

⇒ x = 45 feet

Therefore, the actual length of the bus is 45 feet.

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  y = - 1/2x is equation of slope-intercept form .

What is the meaning of slope-intercept form?

x-intercept =  -4

  y = -4

y-intercept =  8

  x = 8

 slope = -y/x  ⇒ -4/8 = -1/2

the  equation of slope Intercept Form

                       y = mx + c

points ( x, y) are ( 8 , -4) put in equation

                       - 4 = -1/2 * 8 + c

                       - 4 + 4 = c

                            c = 0

put value of c in equation

                       y = -1/2x + 0

                         y = - 1/2x

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Answer:

A

Step-by-step explanation:

convert everything to decimals (numerator divided by denominator).

1 5/6 = 1.83

1.6 = 1.6

1 1/8 = 1.125

1.625

order from greatest to least.

1.83, 1.625, 1.6, 1.125

convert decimals back to fractions

1 5/6, 1.625, 1.6, 1 1/8

Answer: Terminating

Step-by-step explanation:

I'm pretty sure because 16.5 isn't repeating

Answer:

Terminating decimal

Step-by-step explanation:

33/2=16.5

the decimal point does not go on forever so its a terminating decimal

Answer:

1572 is the answer.

Step-by-step explanation:

-28,172,372,572,772

divide by 4:-

-7,43,93,143,193

Here common difference is +50.

So,

using the formula:-

nth term = {a+d(n-1)} * 4

= {-7 + 50(n-1) } * 4

= {-7 + 50n - 50} * 4

= 200n - 228

Now,

9th term = 200(9) - 228 = 1572.

1. The total change in the members is 61.

2. The average or mean vhange over the four months is 15.25.

1. The total change in the members based on the information will be the addition of the values given. This will be:

= (-13 + 89) (-28 + 12) + (-67 + 54) + (-3 + 17)

= 76 -16 - 13 + 14

= 61

The change is 61.

2. The average change over the four months will be the addition of the values divided by 4. This will be:

= Total change / 4

= 61 / 4

= 15.25

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Given Information:

Average number of days = 28

Standard deviation = 7

Required Information:

Between what two values will approximately 95% of the number of days be?

Solution:

Recall the Empirical Rule,

68% of the data fall within 1 standard deviation from the mean.

95% of the data fall within 2 standard deviations from the mean.

99.7% of the data fall within 3 standard deviations from the mean.

Since we are asked for 95%

Lower limit = μ - (2)σ

Upper limit = μ + (2)σ

Where μ is the average number of days and σ is the standard deviation.

Lower limit = 28 - (2)7 = 28 - 14 = 14 days

Upper limit = 28 + (2)7 = 28 + 14 = 42 days

Part (b)

Estimate the percentage of customer accounts for which the number of days is between 21 and 35.

Lower limit = 21

Upper limit = 35

Lower limit = μ - (x)σ

21 = 28 - (x)7

(x)7 = 28 - 21

(x)7 = 7

x = 7/7 = 1

Which means that 68% of the customer accounts have payment made between 21 and 35 days.

The value of y which is calculated from the perimeter given = 7

Perimeter is defined as the sum total of all the sides of an object. Therefore the perimeter of a square is the sum of the four sides = a+ b+ c +d

The perimeter of the square= 132 units.

The given sides = 2(4y + 3) and ,2(5y)

That is,

132 = 2(4y + 3) + 2(5y)

132= 8y + 6 + 10y

132 = 18y + 6

Make 18y the subject of formula;

18y = 132-6

18y = 126

y = 126/18

y= 7

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The probability is 1/9.

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The slope of the given line 2 / 3

Whenever the equation of a line is written in the form y = mx + b, it is called the slope-intercept form of the equation. The m is the slope of the line. And b is the b in the point that is the y-intercept (0, b). For example, for the equation y = 3x – 7, the slope is 3, and the y-intercept is (0, −7).

The given graph indicates that the two points are :

A( 3 , 0 ) and B (0 , -2 )

Thus the slope can be given by the formula mentioned below :

[tex]\frac{y_{2}- y_{1} }{x_{2}- x_{1} }[/tex]

this means - 2 - 0/ 0 - 3

= - 2/ -3

2 / 3

Thus the slope of the given line 2 /3

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Answer:

Step-by-step explanation:

310/5=62 so he makes 62 in 1 hour

62x18=1116 so he makes 1116 in 18 hours

ANSWER:

The resulting value is 58

STEP-BY-STEP EXPLANATION:

We have the following function

They tell us that x = 9, therefore

Answer:

There are 10 ghosts, 6 witches, and 4 scarecrows

Step-by-step explanation:

20 = ghosts, witches, and scarecrows.

ghost = x

20 = x + (x-4) + (x-4-2)

20 = 3x-10

30 = 3x

x = 10

10 = ghosts

10-4 = 6 = witches

10-4-2 = 4 = scarecrows

The number of witches and ghosts at the haunted house are 6 and 10 respectively.

Given that, a total of twenty ghosts, witches, and scarecrows at the haunted house.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Let the number of ghosts be x.

Here,

The number of witches is four less than the number of ghosts

Witches =x-4

The number of scarecrows is two less than the number of witches

Scarecrows =x-4-2

= x-6

Total=x+x-4+x-6

3x-10=20

⇒3x=30

⇒x=10

So, number of witches = 6 and number of scarecrows=4

Therefore, the number of witches and ghosts at the haunted house are 6 and 10 respectively.

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The correct unit price of a pair of gloves is 1.23

What makes up a dozen?

The dozen of pairs of the gloves, contains 12 pairs each, which means that the total number of pairs in 7 dozens, is 12 multiplied by 7  as computed below:

number of pairs in 7 dozens=7*12

number of pairs in 7 dozens=84

In other words, instead of dividing the total cost of 103.32 by 7 to determine the unit price, we need to divide the total cost by 84 pairs found in 12 dozens instead

unit price=total cost/84

unit price=103.32/84

unit price=1.23

Note, that the unit price is for a pair since each pair is seen as a unit in this case as only one glove is useless

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The equation of the line, in point-slope form, that passes through (1, -2) and has a slope of 4 is expressed as: y + 2 = 4(x - 1).

The equation of a line in point-slope form is often expressed in the form of y - b = m(x - a), where a point is given as (a, b), and the slope of the line is represented as m.

Given the following:

A point on the line (a, b) = (1, -2)

The slope of the line (m) = 4

To write the equation of the line in point-slope form, substitute m = 4, a = 1, and b = -2 into y - b = m(x - a):

y - (-2) = 4(x - 1)

y + 2 = 4(x - 1) [equation of the line in point-slope form]

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Answer:

Step-by-step explanation:

it cost 6 dollars because you would divide 42÷7 and you would get 6 you would divide the price between the 7 people and you would get

we know that

The perimeter of the figure is equal to the sum of its length sides

so

P=7.2(2)+4.1(2)+4.1(2)+12.8+1.9(2)+x

Combine like terms

P=47.4+x

Remember that

P=60.7 ft

substitute

60.7=47.4+x

x=60.7-47.4

x=13.3 ft

therefore

the answer is

there is no answer because there is no .Th in what ever you ate trying to talk abput