Given m || n.
What theorem or postulate justifies this statement?
/1 = /5
A.linear pair postulate

B.vertical angles theorem

C.alternate interior angles theorem

D. alternate exterior angles theorem

E.corresponding angles postulate

The values of the function are 1/9, 1/3, 1, 3 and 9.

A function is defined as a relation between a set of inputs having one output each.

Given a function, f(x) = [tex]3^{x}[/tex]

When x = -2

y = [tex]3^{-2}[/tex] = 1/3² = 1/9

When x = -1

y = [tex]3^{-1}[/tex]

y = 1/3

When x = 0

y = [tex]3^{0}[/tex]

y = 1

When x = 1

y = 3

When x = 2

y = 3² = 9

Hence, The values of the function are 1/9, 1/3, 1, 3 and 9.

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An equation to model the situation: h = 30000 - 2000t

the altitude of the plane after 5 minutes is  20000 feet

In this question, an airplane 30,000 feet above the ground.

It begins descending at a rate of 2,000 feet per minute.

We need to write an equation to model the situation. Also, we need to find

the altitude of the plane after 5 minutes.

Let h be the altitude of plane after t hours.

So, we get an equation,

h = 30000 - 2000t

For t = 5 minutes,

h = 30000 - 2000(5)

h = 30000 - 10000

h = 20000 feet

Therefore, an equation to model the situation: h = 30000 - 2000t

the altitude of the plane after 5 minutes is  20000 feet

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The value of x is in the range (-∝,-9)∪(-5,∝)

Given inequalities :

2x + 7 < -11 or -3x -2 < 13

⇒ 2x < -11 -7 or -3x < 13+2

⇒ 2x < -18 or -3x < 15

⇒ x < -9 or -x < 5

⇒ x < -9 or x > -5

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The Determinant of the equation is 17

What is the determinant of the equation?

The determinant is a scalar variable in mathematics that is a function of the elements of a square matrix. It enables the characterization of some characteristics of the matrix as well as the linear map expressed by the array. The determinant is nonzero, in particular, if and only if the matrix is invertible and the linear map represented by the matrix is an isomorphism. The determinant of a matrices product is the product of their determinants (the preceding property is a corollary of this one). The determinant is a scalar variable in mathematics that is a function of the elements of a square matrix. It enables the characterization of some attributes of the matrix as well as the vertical map presented by that of the array.

Given equation is 2x² + 7x - 4 = 0

Therefore, determinant = (7)² - 4x2x(-4)

                                        = 49 - 32

                                        = 17

Hence, the determinant of the given equation is 17

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Answer:

B 2020 on edge

Step-by-step explanation:

28 is the product of all three numbers .

An algebraic expression is the idea of ​​using letters or alphabets to represent numbers without specifying the actual values. In Algebra Basics, we learned how to use letters such as x, y, and z to represent unknown values. These characters are called variables here. An algebraic expression can be a combination of variables and constants. The multiplied value before the variable is the coefficient.

3rd = x

2 nd = 7x

1 st = 4(x + 7x ) = 32x.

x + 7x + 32x = 20

x = 1/2.

we are looking for product = x*7x*32x = 1/2 * 7 * 1/2 * 32*1/2 = 1/2 * 1/2 * 1/2 * 32 * 7 = 28.

28 is the product of all three numbers

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Answer:

x=-21

Step-by-step explanation:

x+5x-7(2+x)=7 so 6x-14-7x=7

-x=21 so x=-21

Amanda have roll of black ribbon [tex]= 3_3^2th[/tex]

If Amanda has rolls of black ribbon  [tex]= 4_2^1th[/tex]

total rolls of black ribbon amanda have [tex]= 3_3^2th+4_2^1th[/tex][tex]= 8_6^1 th[/tex]

What is Fraction?

A fraction is a piece of the entire. In mathematics, the number is represented as a quotient, where the numerator and denominator are divided. Both are integers in a straightforward fraction. In the numerator or denominator of a complex fraction is a fraction. A correct fraction has a numerator that is lower than its denominator.

What is mixed fraction?

A mixed fraction is one that is represented by both its quotient and remainder. A mixed fraction is, for instance, 2 1/3, where 2 is the quotient and 1 is the remainder. An amalgam of a whole number and a legal fraction is a mixed fraction.

Consider the expression;

[tex]= 3_3^2th+4_2^1th[/tex]

Rewriting our equation with parts separated

[tex]= 3+\frac{2}{3}+4+\frac{1}{2}[/tex]

Solving the whole number parts

3 + 4 = 7

Find the LCD of 2/3 and 1/2 and rewrite to solve with the equivalent fractions.

LCD = 6

[tex]\frac{4}{6}+\frac{3}{6} = \frac{7}{6}[/tex]

Combining the whole and fractional parts

[tex]7+1+\frac{1}{6} = 8_6^1[/tex]

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Option C is correct. Since the digit in the thousands place is 5 or greater than 5.

Given that in option C:

Since the digit in the thousandth place is greater than or equal to 5, increase the digit in the hundredth place by 1. Then drop the digit in the thousandth place.

Also, 213.709 is given in the question in which we have to round off these digits.

The digit which is just after the decimal is called tenths and just after that is hundredths and just after that is called thousandths.

Seeing the value in option C is correct as it tells the value of thousandths is greater than or equal to 5 is correct as 9 is in thousandths place and is greater than 5.

Increasing the value in the hundredth which is zero to one and dropping the digit in the thousandth place is correct as it makes the value 213.71.

All the other options don't satisfy the round of the value 213.709.

Hence, 213.71 can be rounded as per the statement written in option C.

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Answer:

No because the determinant of A is 0 .

Step-by-step explanation:

A starts the a -85 so n32 -24 = A- because 540i.7 is a so 0 so a is 0

Answer:

A A S

Step-by-step explanation:

Angle - Angle- side:   they have two consecutive equal angles and a non-included side that is equal

The area of the triangle will be 60ft².

What is are of triangle?

The territory included by a triangle's sides is referred to as its area. Depending on the length of the sides and the internal angles, a triangle's area changes from one triangle to another. Square units like m2, cm2, and in2 are used to express the area of a triangle.

Now using the Pythagoras theorem we can find out the length of the other wall

b²+p²=h²

So here h=13ft and b=5ft

p²= h²-b²

  = 13²-5²

  =169-25

p = √144 = 12ft

So the area of the trinagle is = 1/2*b*p

1/2(10*12)= 60ft²

Hence the area of the triangle will be 60ft².

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The value of length of pen should always be greater than 5 feet.

Rectangle:

                Rectangle is a special kind of parallelogram in which opposite sides are equal and adjacent sides are perpendicular to each other.It contains of length and breadth,The area of rectangle is given by,

                  Area = length x breadth

Now as per question,

A family wants to build a pen for their new puppy.

They want's the area of the pen to be more than 225 square feet.

width of the pen is = 25 feet

let,

     The length of the pen is [tex]x[/tex] feet.

Area of pen = length * width

                    = [tex]x[/tex] * 25

                    = 25x

According to the question,

                        Area of pen > 225 square feet

                         25x > 225

                            x >225/25

                             x > 5 feet

Thus,

        The value of length should always be greater than 5 feet.

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According to the given  frequency distribution table the values are as follows:

Frequency of 6 is 3

Frequency of 7 is 4

Frequency of 8 is 4

Frequency of 9 is 3

Frequency of 10 is 2

Statistics is the field concerned with collecting, organizing, analyzing, interpreting and presenting data to draw conclusions by analyzing it.

In Mathematics, statistics is the branch which is  concerned with collecting, analyzing, interpreting, and presenting large amounts of numerical or quantitative data.

It is the number of times a data or figure occurs in a set of given or collected data.

In order to make the provided data more meaningful and understandable, it can be organized using a frequency distribution table. There are two or three columns in a frequency distribution table. All of the results are represented as individual values or as class intervals in the first column.

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There are 204 possible methods to choose a chief executive officer, a director, a treasurer, and a secretary, if there are 18 members on the board of directors.

Combinations are mathematical procedures that count how many different ways a collection of items might be arranged when the order in which they are chosen is immaterial. Regardless of the order in which the things are chosen, a combination is the choice of all or part of a collection of objects. A combination is "an arrangement of items where the order of the components is unimportant," according to the definition. When these two terms are combined, "Selection of things" is meant, where the order of the items is not important.

Here,

If the order doesn't matter then we have a combination, if the order do matter then we have a permutation.

18C4=18!/(18-4)!(4)!

=18!/14!4!

=18*17*16*15/4*3*2*1

=3*17*4

=204 ways

A chief executive officer, a director, a treasurer, and a secretary be  can be selected in 204 ways If a board of directors consists of 18 people.

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The equivalent value to the expression 18.9 x [(2 x 2.7) - 4.6] - 2² is given by the following option:

C. 11.12.

The equivalent value to an expression is given by the solution to the expression.

The expression in this problem is given as follows:

18.9 x [(2 x 2.7) - 4.6] - 2²

The brackets take precedence, hence the first operation to be solved is of:

(2 x 2.7) - 4.6

The parenthesis take precedence relative to the subtraction, hence:

(2 x 2.7) - 4.6 = 5.4 - 4.6 = 0.8.

Then the expression is given by:

18.9 x [(2 x 2.7) - 4.6] - 2² = 18.9 x 0.8 - 2².

The square takes precedence, hence:

18.9 x 0.8 - 4.

Then the multiplication takes precedence, which means that the equivalent result is of:

18.9 x 0.8 - 4 = 15.12 - 4 = 11.12.

Given by option C.

The problem is given by the image shown at the end of the answer.

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The value of x is 1.94 units approximately.

Since the triangle is equilateral and each side is [tex]\sqrt{10}[/tex].

we know that, in equilateral triangle base is bisected by the perpendicular drawn from the opposite vertex.

So here for one small triangle by Pythagoras theorem,

[tex]x^2+(\frac{\sqrt{10}}{2})^2=(\sqrt{10})^2\\x^2+\frac{10}{4}=10\\x^2=10-\frac{10}{4}=\frac{30}{4}=\frac{15}{2}\\x=\frac{\sqrt{15}}{2}\approx1.94[/tex]

Hence the value of x is 1.94 units approximately.

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Answer:

24 centimeters

Step-by-step explanation:

we find a side by finding the square root of the area

Square root of 36 is 6

Now we find the perimeter by multiplying 6 by 4

6x4=24

Hopes this helps please mark brainliest

Answer:

the first equation

Step-by-step explanation:

The 6 is the same amount no matter the weight of the dog.  .5x represents 50 for each pound.

If a dog weight 20 pounds, it would cost 6 + .5(20)  

If a dog weight 30 points it would cost 6 + .5(30) and so on.

Answer: 8 days

Step-by-step explanation: 138-42 = 96 then you divide that by daily fee of 12 to get 8 days

By the equations, he should make 70 whole wheat bread that would earn a profit of $105 that is maximum he can earn with the given amount of flour and egg.

simultaneous equations, system of equations Two or more equations in algebra must be solved jointly (i.e., the solution must satisfy all the equations in the system). The number of equations must match the number of unknowns for a system to have a singular solution. A group of two or more equations that share the same variables is known as a system of equations. A set of values for a variable that simultaneously satisfy each equation is the solution to a system of equations. When there are multiple unknowns and there is sufficient data to set up equations in those unknowns, systems of equations are used to solve applications. In general, we need sufficient information to construct equations in the n unknowns.

Here,

Let x be light whole wheat and y be the regular whole wheat.

given,

A loaf of light whole wheat bread requires 2 cups of flour and 1 egg.

A loaf of regular whole wheat bread requires 3 cups of flour and 2 eggs.

The bakery has 90 cups of flour and 80 eggs on hand.

So the system of equation will be,

2x+3y=90

x+2y=80

multiply the second equation by 2,

2x+4y=160

2x+3y=90

subtract the equations,

y=70

by this,

x=-60

So by this he should make 70 whole wheat bread that will make him earn a profit of,

=70*1.5

=$105

According to the calculations, he should produce 70 loaves of whole wheat bread for a profit of $105; this is the most he can make with the supplied quantities of flour and egg.

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Answer:

yes

Step-by-step explanation:

as A increases w increases

Answer:

Step-by-step explanation:

Let the number of refills be x.

Then the Silver Cup will cost:

The cost of the Gold Cup is $25.

If we need the Gold Cup a better value, then required inequality is:

Solve it for x:

Answer:

Inequality = 10 + 0.25x < 25

The value of x = x < 60

Step-by-step explanation:

Now we have to,

→ find inequality used to solve for x.

Then the inequality will be,

→ $10 + 0.25x < $25

→ 10 + 0.25x < 25

Required value of x will be,

→ 10 + 0.25x < 25

→ 0.25x < 25 - 10

→ x < 15/0.25

→ [ x < 60 ]

Hence, the value of x < 60.

Answer:

[tex]28\frac{4}{7}[/tex] miles

Step-by-step explanation:

mileage = m

Primo: cost = 0.3m + 20

Ultimo: cost = 0.95m + 30

Ultimo = twice Primo

0.95m + 30 = 0.6m + 40

subtract 0.60m and 30 from each side and simplify to get

0.35m = 10

divide by 0.35 into both sides to get

m = [tex]28\frac{4}{7}[/tex]

therefore, the daily mileage would be [tex]28\frac{4}{7}[/tex] miles

Answer:

3y+4=22
3y+4-4=22-4
3y=18
(3y)/3=18/3
y=6

Step-by-step explanation:

pls mark brainliest

The second side will therefore be 12 feet long if one side is 6 feet long. We just need to calculate two sides because each comparable side is equal.

A linear transformation known as uniform scaling in affine geometry enlarges or reduces objects in all directions by the same scale factor. The final product of uniform scaling resembles the initial. Normal practize allows for a scale factor of 1, which allows for the classification of congruent shapes as similar.

Given,

The process for scaling a rectangle is as follows:

Let's say one of the sides is two units long, and you count the number of units on that side.

1 unit = 6 feet.

12 feet = 2 units

We only need to double the rectangle's size to rescale. The second side will therefore be 12 feet long if one side is 6 feet long. You just need to calculate two sides because each comparable side is equal.

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The graphed function's rate of change is the same, however

a lesser base line.

A mathematical expression shows the value of something by combining numbers, variables, and operators. A mathematical statement known as an equation involves setting two expressions equal to one another.

Mathematical operations like addition, subtraction, multiplication, and division can be used to mix integers and numbers to create a numerical expression.

In the mathematics curriculum and in mathematics in general, algebraic expressions are crucial. Students must be proficient in computations and the manipulation of algebraic expressions in order to advance and do well in mathematics. They must also be able to understand and write expressions.

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If you can choose a prize of either a $25,000 car or one penny on the first day. The number of days you receive more than the value of the car is 15 days.

Let x represent the number of days

Convert $25,000 to cents by multiplying it by 100

 $25,000 × 100 = 2,500,000 cents

Hence:

3^x-1 > 2,500,000

(x-1) log3/log 3 > log 2500000/log 3

x-1 > 13.409

x = 13.409+1

x =14.409

x = 15 days (Approximately)

Therefore the number of days is 15.

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