Answer:
bsbsnhs
Step-by-step explanation:
gsgdhbdjdnndnsnnsbsbdnhidfgdhhdjjdndjsjkekkekekekkekkekejekkdir
How do you define the range Mcq?.
The correct answer is B. The set of output values (y-values) of a function.
The range of a function is the set of all possible output values (y-values) of the function. It is the set of values that the dependent variable (y) can take on, given the domain (set of input values or x-values) of the function.
It can also be represented graphically by plotting the function on a coordinate plane and observing the set of y-values that the function takes on.
We have the following options:
A. The set of input values (x-values) of a function
B. The set of output values (y-values) of a function
C. The set of all possible x-y pairs of a function
D. The set of all possible x-values of a function
Therefore, The correct answer is B. The set of output values (y-values) of a function.
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Tasha incorrectly draws this graph to represent the balance in her saving account over time.
A. What is the y intercept of the graph and what does it represent in the situation?
B. Does the y intercept make sense in this situation? Explain.
C. Explain Tasha possible error.
Answer: A. The y-intercept of a graph is the point at which the graph crosses the y-axis. In the graph provided, the y-intercept appears to be at (0, -500). This means that Tasha's account balance starts at -500 dollars.
B. The y-intercept does not make sense in this situation, as a savings account balance cannot be negative. It is not possible to have negative dollars in a savings account.
C. Tasha's possible error is that she may have misinterpreted the y-axis to represent a negative balance, when in reality it represents zero balance. The y-intercept represents the initial balance of the account, which should be zero or a positive number. This error can be corrected by starting the y-axis from zero and making sure the y-intercept is positioned at a positive value.
Step-by-step explanation:
Of the 120 students honored at an academic banquet, 40% won awards for mathematics and 55% for English. Fourteen of these students won awards for both mathematics and English. One of the 120 students is chosen at random to be interviewed for a newspaper article. What is the probability that the student won an award in mathematics or English?
The probability that a pupil would excel in math's or English = 0.691
How are probabilities defined?A probability is a numerical representation of the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages range from 0% to 100% can be used to describe probabilities.
According to the given information:120 students are enrolled in total. Let A represent the scenario in which a student receives a mathematics award, and B represent the scenario in which a student receives an English award. The odds of these events are as follows:
48 won awards for mathematics
78 won awards for English.
14 students won awards for mathematics and English.
P(A) = 48/120
P(B) = 78/120
P(A ∩ B) = 14/120
Due to the fact that 14 students shared the honors from both events, the following equation should be written for overlapping sets:
P(A or B ) = P(A) + P(B) - P(A ∩ B)
= 48/120 + 78/120 - 14/120
= 56/ 81
= 0.691
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In this assignment, you will apply concepts of statistics and probability to answer questions about how environmental factors affect the variation and distribution of expressed traits in a population.
Because they do not support survival and reproduction, undesirable features are chosen against and inherited less frequently over time.
By examining the connection between natural selection and evolution, Darwin's theory of evolution is examined. Controlling natural selection in an interactive population will help you achieve this. Each species displays.
For instance, while some beetles are brown, others are green. Not every member of a population will live long enough to reproduce. Those that do pass on their traits to their progeny.
Evolution and Natural Selection A species' members do not all resemble one another. Each species displays. For instance, while some beetles are brown, others are green. Not every member of a population will live long enough to reproduce. Those that do pass on their traits to their progeny.
Because they do not support survival and reproduction, undesirable features are chosen against and inherited less frequently over time.
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HELP ME PLS, THANK YOU :)
Step-by-step explanation:
UW must be equal to UV. the distance from the same point of origin of 2 tangents to their touching points in the circle must be the same.
so, UV = UW = 3
XV connects the tangential touching point with the center of the circle, and must therefore be perpendicular (90°) to the tangent UV.
we have therefore a right-angled triangle UVX and can use Pythagoras to find the Hypotenuse UX :
UX² = UV² + XV² = 3² + 1.6² = 9 + 2.56 = 11.56
UX = sqrt(11.56) = 3.4
If m∠2 = 120°, what is m∠7?
if angle m∠2 = 120°, then m∠7 is 120°.
What are Angles?An angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle.
Supplementary angles are those angles that sum up to 180 degrees.
Given that m∠2 = 120°.
We have to find the m∠7.
m∠2 and m∠4 are supplementary angles.
120+m∠4=180
m∠4=60 degrees.
m∠4 is corresponding angle of m∠8.
m∠8 and m∠7 are again supplementary angles.
60+m∠7=180
m∠7=120 degrees.
Hence, if angle m∠2 = 120°, then m∠7 is 120°.
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The expression (2a)4 is equivalent to
Answer:
2 is multiplied by -4 and then a4 is gone to the bottom
Answer:
4
Step-by-step explanation:
To make the exponent -4 put it over 1.
[tex]\frac{1}{(2a)^{4} }[/tex]
[tex]\frac{1}{2^{4}a^{4} }[/tex]
[tex]\frac{1}{2x2x2x2xaxaxaxa}[/tex]
[tex]\frac{1}{16a^{4} }[/tex]
Under what condition do the equations KX Y 2 and 6x 2y 3 have a unique solution?.
To have a unique solution for the given equations, k should not be equal to 3.
Given equations are:
kx - y = 2
and, 6x - 2y = 3
The second equation can be written as, 3x - y = 3/2
The system of equations kx-y=2 and 3x - y = 3/2 has a unique solution when the coefficients of x and y are not equal, meaning k is not equal to 3.
This is because when the coefficients are not equal, the equations are not dependent on each other and can be solved independently. If the coefficients were equal, then the equations would be parallel and have infinitely many solutions.
Additionally, the specific value of k does not affect the uniqueness of the solution, as long as it is not equal to 3.
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If the interior angle of a regular polygon is 108°.The polygon has how many sides?
If the interior angle of a regular polygon is 108°.The polygon has five (5) sides.
Method 1: Each exterior angle of a regular polygon is equal to 180-108°, or 72°, if each internal angle is 108°.Regardless of the number of sides, any figure's outer angles add up to 360 degrees.
The figure has 360/72 or 5 sides since each outer angle is 72 degrees. Therefore, the polygon is a standard pentagon. Answer.
Method 2: Using n isosceles triangles, a regular polygon with n sides is created. 54° is the basis angle, or 108/2. Each vertical angle is equal to 2*36°, or 72°, which is the semi-vertical angle of 90-54°. 360/72 equals 5, the number of isosceles triangles. Therefore, the polygon is a standard pentagon.
Method 3: [n-2]*180 or 108n, which is the sum of the internal angles of a regular polygon.
[n-2]*5=3n, or
5n-10 = 3n, or
5n-3n = 2n = 10, or
n = 5.
The polygon is a regular pentagon as a result.
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The teacher gave a true and false quiz where P(true) = 0.5 for each question. Interpret the likelihood that the first question will be true.
Likely
Unlikely
Equally likely and unlikely
This value is not possible to represent probability of a chance event.
The likelihood that the first question will be true is equally likely and unlikely.
What is probability?Probability can be defined as the ratio of favorable outcomes to the total number of events.
Here,
The teacher gave a true and false quiz where P(true) = 0.5 for each question.
From the above-given probability, it can be interpreted that the likelihood of giving a true answer is 50% and this is the same for the given wrong answer. So the likelihood that the first question will be true is equally likely and unlikely.
Thus, the likelihood that the first question will be true is equally likely and unlikely
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Answer:
The likelihood that the first question will be true is equally likely and unlikely.
Step-by-step explanation:
Can you complete the equation how many fifths are equivalent to 6/10 this is just for fun
Three-fifths is equivalent to 6/10.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
Let the number of fifth be = x
So,
(1/5)x = 6/10
Now,
Solve for x.
(1/5)x = 6/10
x = (6 x 5) / 10
x = 30/10
x = 3
Thus,
There are three-fifths to make 6/10.
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Munir has $115 to spend on shoes and socks. He buys a pair of shoes for $80 and wants to buy socks with the rest of his money. If each pair of socks costs $4.50, what is the maximum number of pairs of socks that Munir can buy?
They combine their money to buy as much ice cream as they can afford. If . each pair of socks costs $4.50, what is the maximum number of pairs of socks .
What is costs?In production, research, retail, and accounting, a cost is the value of money that has been used up to produce something or deliver a service, and hence is not available for use anymore. In business, the cost may be one of acquisition, in which case the amount of money expended to acquire it is counted as cost.Cost is the expenditure required to create and sell products and services, or to acquire assets. When sold or consumed, a cost is charged to expense. In the case of an asset, the charge to expense could be significantly deferred. The cost concept underlies the transition of assets from the balance sheet to expenses in the income statement.To learn more about income statement refer to:
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i cant discover how to do reflection and congruency
Answer:
A reflection is a congruence transformation because it maintains the original shape and size of the pre-image. A reflection is a figure flipped over a line of reflection. A common example is a mirror but a reflection can also be shown in water, like with a picture of a lake, the line of reflection would be the divide between the water and the shore.
19. A rectangular lawn is to be laid with turf. James measures the sides of the rectangle as 30 m by
40 m, with both values being given to the nearest metre. He sends his friend Toby to buy the
turf.
a. Find the area of the maximum area of turf that Toby needs to buy, giving your answers
to 2 decimal places.
b.
Find the area of the minimum area of turf that Toby needs to buy, giving your answers
to 2 decimal places.
A rectangle is a four-sided geometric shape with opposite sides that are parallel and equal in length. The opposite sides are called the length and width of the rectangle. Area = (30m - 0.5m) x (40m - 0.5m) = 29.5m x 39.5m = [tex]1162.75 m^2[/tex]
What is rectangle?a. The maximum area of turf that Toby needs to buy can be found by using the measurements given by James, which are the length and width of the rectangle.
The area of a rectangle is found by multiplying its length and width, so the maximum area of turf needed would be:
Area = length x width = 30m x 40m = [tex]1200 m^2[/tex]
b. The minimum area of turf that Toby needs to buy can also be found by using the measurements given by James, but this time taking into account the margin of error due to the measurements being given to the nearest metre.
If the true length and width of the rectangle are slightly less than the measurements given by James, the mini mum area of turf needed would be:
Area = (30m - 0.5m) x (40m - 0.5m) = 29.5m x 39.5m = [tex]1162.75 m^2[/tex]
So the minimum area of turf that Toby needs to buy would be [tex]1162.75 m^2[/tex]and the maximum area of turf that Toby needs to buy would be [tex]1200 m^2.[/tex]
In general, the measurements given by James could be off by half a meter in both directions, therefore the minimum area of turf that Toby needs to buy would be the area calculated by taking into account the margin of error, in this case, it's [tex]1162.75 m^2.[/tex]
The maximum area of turf that Toby needs to buy would be the area calculated using the measurements given by James, which is [tex]1200 m^2.[/tex]
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Is the range of a logarithmic function always all real numbers?.
Explanation:
The log equation [tex]\text{x} = \log_b(\text{y})[/tex] is equivalent to its exponential form [tex]\text{y} = b^\text{x}[/tex]
For the exponential equation, we can replace x with any real number. We don't have to worry about things like dividing by zero. Therefore the domain of the exponential equation is "set of all real numbers".
The domain of [tex]\text{y} = b^\text{x}[/tex] is the range of [tex]\text{x} = \log_b(\text{y})[/tex]. The domain and range swap roles when going from original to inverse.
Therefore, the range of any logarithmic function is "set of all real numbers".
On a graph notice how the log curve stretches forever upward and downward. The base of the log doesn't matter.
Tiramo de un cuerpo de 40 kg, apoyando en una uperficie horizontal, con una cuerda que forma 30º con la horizontal. Calcula: a) El valor de la normal y de la fuerza de rozamiento i la tenión de la cuerda e de 100 N y el cuerpo permanece en repoo
Como la cuerda está formando un ángulo de 30 grados con la horizontal, la componente de la fuerza en la dirección de la cuerda se calcula utilizando el coseno del ángulo: 86.6 N.
Calcular Fuerza De RozamientoPara calcular el valor de la normal y la fuerza de rozamiento, primero debemos calcular la componente de la fuerza de gravedad que actúa en dirección perpendicular a la superficie de apoyo. La componente de la gravedad en dirección perpendicular se calcula utilizando el seno del ángulo formado por la cuerda con la horizontal (30º):
F_normal = F_grav * sen(30º)
Donde F_grav es la fuerza de gravedad del cuerpo, que se calcula como:
F_grav = m * g
Donde m es la masa del cuerpo (40 kg) y g es la aceleración debida a la gravedad (9.8 m/s²)
Por lo tanto,
F_normal = (40 kg) * (9.8 m/s²) * sen(30º) = 392 N
La fuerza de rozamiento se calcula utilizando la fórmula:
F_fric = μ * F_normal
Donde μ es la coeficiente de rozamiento estático entre el cuerpo y la superficie de apoyo. Como no se especifica el valor del coeficiente de rozamiento, no se puede calcular la fuerza de rozamiento.
La tensión en la cuerda es igual a la fuerza neta en la dirección de la cuerda. Como la cuerda está formando un ángulo de 30 grados con la horizontal, la componente de la fuerza en la dirección de la cuerda se calcula utilizando el coseno del ángulo:
T = F * cos(30º) = 100 N * cos(30º) = 86.6 N
(Los valores de las respuestas están en notación científica)
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How do you do algebraic expressions easy?.
An algebraic expression (or) a variable expression is a combination of terms by operations such as addition, subtraction, multiplication, and division. For example, let's look at the expression 5x + 7.
Algebraic Expression:
Algebraic expressions are mathematical expressions that result when you perform operations such as addition, subtraction, multiplication, and division on variables and constants. For example, let's say James and Natalie were playing with matches and wanted to create a pattern of numbers in matches. James played four games and formed No. 4. Natalie added three more games and two he formed a pattern of four. They realized they could add 3 matches to each round to get an extra '4'. From this, they concluded that, in general, 4 + 3 (n-1) double crochet stitches are required to create n 4 patterns. Here 4+ 3(n-1) is called an algebraic expression. To solve a linear equation with one variable, use the transpose method. Follow this procedure to perform the same operations on both sides of the equal sign. That is, perform operations to isolate variables.
Example:
5x + 7 = 32
Subtract 7 from both sides
⇒ 5x = 25
Divide both sides by 5
⇒ x = 5
⇒ 5x = 25
Divide both sides by 3
⇒ 2y – 12 = 24
Add 12 to both sides
⇒ 2y = 36
Divide both sides by 2
⇒ y = 18.
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Each year Lizzie’s school purchases student agenda books. Last year, the school purchased 350 books at a total cost of $1,137.50. If the school charges the same amount this year, but their population has grown to 375 students, how much will it cost the school to purchase agenda books for all of its students?Ratio Chart
$12188.04 is the cost that school to purchase agenda books for all of its students
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
Given that Last year, the school purchased 350 books at a total cost of $1,137.50.
The school charges the same amount this year, but their population has grown to 375 students.
We have to find the cost the school to purchase agenda books for all of its students
Let us consider it as x.
Form an proportional equation.
350/1137.5=375/x
apply cross multiplication
350x=11375.5×375
350x=4265812.5
Divide both sides by 350
x=$12188.035
Hence, $12188.04 is the cost that school to purchase agenda books for all of its students
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y=2x+1 y=x+3
what is the solution to this system of equations?
Answer:
x = 2
y = 5
Step-by-step explanation:
A system of equations is a set of two or more equations that contain multiple variables. To solve a system of equations, you can use different methods such as substitution, elimination or graphing.
The given system of equations is:
y = 2x + 1
y = x + 3
We are trying to find the x and y values that make both equations true at the same time.
One way to solve this system is to use the substitution method, by replacing one of the variables in one equation with the other equation.
Let's replace y from the second equation with the first equation:
x + 3 = 2x + 1
Subtract x from both sides:
3 = x + 1
Subtract 1 from both sides:
2 = x
Now that we have the value of x, we can substitute it back into either one of the original equations to find the value of y.
Let's substitute it back into the first equation:
y = 2(2) + 1
y = 5
So the solution to this system of equations is x = 2 and y = 5. It means that both equations are true when x = 2 and y = 5
You can also check your solution by substituting x and y back into the equations and see if both of them are true.
A number cube is tossed 60 times. outcome frequency 1 12 2 13 3 11 4 6 5 10 6 8 determine the experimental probability of landing on a number greater than 4.
The experimental probability of landing on a number greater than 4 is 0.25 or 25%.
To find this probability, we need to determine the number of successful outcomes (landing on a number greater than 4) and divide that by the total number of trials (60).
The successful outcomes are 5 and 6, with a frequency of 10 and 8 respectively. To add these two frequencies together, we can use 10 + 8 = 18.
So, the experimental probability is 18/60 = 0.3 or 25%.
It's important to note that experimental probability is based on the outcomes of an experiment or a sample and it may not be the same as a theoretical probability which is based on the ratio of favorable outcomes to the total number of outcomes in a theoretical model.
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the answer in fraction form is 18/60
if thats what you are looking for.
Make into simplest form I. Need Hellp lIKE HELP
Answer:
8/10 = 4/5
6/12 = 1/2
10/20 = 1/2
4/5= 4/5
3/12= 1/4
13/21= 2/3
9/24 = 3/8
7/14 = 1/2
15/30 = 1/2
12/16 = 3/4
Step-by-step explanation
Hope this helps
How to tell if a differential equation is linear or nonlinear?
It is linear if and only if the coefficients of y (the dependent variable) and all order derivatives of y are functions of t or constant terms.
What is equation?An equation is a formula in mathematics that expresses the equality of two expressions by connecting them with the equals sign =. In its most basic form, an equation is a mathematical statement that shows that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign. A mathematical equation that depicts the relationship between two expressions on opposite sides of the sign. It mostly consists of one variable and one equal to symbol. 2x - 4 = 2 is an example.
Here,
It is linear if and only if all order derivatives of y (the dependent variable) are functions of t or constant terms.
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IM 7.5.5 Cool Down
1 of 21 of 2 Items
Question
Which other expression has the same value as (−14)−8?
Responses
14+(−8)14 plus negative 8
(−14)+8negative 14 plus 8
(−14)+(−8)negative 14 plus negative 8
14−(−8)
Answer:
Step-by-step explanation:
14+(-8)14+(-8)
-122+14=-108+-8=116
Can the graph of an absolute value be negative?.
The graph of an absolute value is always equal to or greater than zero and can never be negative.
We define the absolute value function f: R→R as:
f(x) = |x|
The absolute value function is also named the modulus function.
An alternative form to express the function is
|x| = -x if x ≤ 0 and x if x ≥ 0
The absolute value function is defined for all real numbers.
For x≥0, f(x) returns the same value, that is, x.
For x<0, f(x) returns the negative of the value of x.
So, we arrive at the conclusion that the domain and range of absolute value function are R and [0, ∞).
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Carla’s dining room and living room have the same perimeter. The width of her rectangular dining room is 18 feet, and the width of her rectangular living room is 12 feet. The length of her dining room is 1 foot less than 3/4 the length of her living room. What is the length of Carla’s living room?
Answer:
Length of Carla's living room is 20 feet
Step-by-step explanation:
The perimeter of a rectangle is 2(L + W)
In the case of both dining and living rooms, we are given the widths as dining room width = 18, living room width = 12 and asked to calculate living room length from the information given
Let x be the length of the dining room and y the length of the living room
Perimeter of dining room = 2(18 + x)
Perimeter of living room = 2(12 + y)
Since these are equal
2(18 + x) = 2(12 + y)
=> 18 + x = 12 + y
Subtract x from both sides:
18 = 12 + y - x
Subtract 12 from both sides:
18 - 12 = y - x
Simplifying and rearranging terms we get
- x + y = 6 [1]
We are also given that:
The length of her dining room is 1 foot less than 3/4 the length of her living room.
This mathematically translates to:
[tex]x = \dfrac{3}{4}y - 1[/tex]
which can be re-written as
[tex]x - \dfrac{3}{4} = -1 \; \cdots[2][/tex]
So the two equations are
[tex]- x + y = 6 \;\cdots [1][/tex]
[tex]x - \dfrac{3}{4}y = - 1 \; \cdots [2][/tex]
Notice that the coefficients of x are the same(1) but with opposite signs
Add [1] and [2]
[tex](-x + y) +(x - \dfrac{3}{4}y) = 6 - 1\\\\-x + x + y - \dfrac{3}{4}y = 5\\\\\dfrac{1}{4}y = 5\\\\y = 20\\\\[/tex]
So the length of the living room is 20 feet
(If you wanted to find the length of the dining room, substitute 20 into equation 1 to get -x + 20 = 6 which will give x = 14 and is the length of the dining room)
Laura cell phone service costs $65 per month, plus an additional $0.10 per text message sent. the table below shows the cost for zach’s cell phone service based on the number of text messages he sends.
how much cheaper is Zach cell phone service than Laura’s when no text messages are sent?
First, find out how much each text will cost, which is always $ 0.25. When there are no text messagers, collukate the fee to $2 per hour .
How much cheaper is Zacha's cell phone sevices ?When 50 texts are added, the price goes up for each text when there are two of them (57,5-50=7.5). [tex](7.5 \div 30=0.25)[/tex] Zach would incur costs if there were no texts. [tex](50-20 \times 0.25=45)$[/tex] , And Laura's price without a text is $65 Thus, (65-45=20) would apply. [First, find out how much each text will cost, which is always $ 0.25. When there are no text messagers, collukate the fee to $2 per hour.]
Laura's monthly cell phone service fee is $65 plus $0.10 for each text message sent. Based on how many texts Zach sends, the following table displays the cost of his cell phone service. When no text messages are sent, Zach's cell phone service is $2 per hour less expensive than Laura's.
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sqrt 8 + sqrt 32 - sqrt 2, find the exact value of the expression
i got 6 sqrt 2, but it was wrong.
Answer:sqrt 38
Step-by-step explanation:32+8-2 is 38
Amelia need to buy ome dog food. At the nearet tore, 2 bag of dog food cot $11. 50. How much would Amelia pend on 5 bag of dog food?
Avery made a large pot of oup and he plan to divide the oup equally into maller container. If the pot contain 30 and 1 half cup of oup, decribe two different way to interpret 30 and 1 half divided by 3 in thi context
30 1/2 cups soup divided by 3: 10 1/6 cups or 10 1/2 cups per container.
What is interpretation ?
Interpretation is the process of understanding and explaining the meaning of something, such as a text, a piece of artwork, or a scientific data. In the context of mathematics and problem solving, interpretation refers to understanding the meaning of a mathematical expression or equation in the context of the problem or situation being described.
In this context, "30 and 1 half cups of oup" refers to the amount of soup that Avery has in the large pot, and "divided by 3" refers to the number of smaller containers Avery plans to divide the soup into. There are two different ways to interpret 30 and 1 half divided by 3 in this context ,
Avery will divide the 30 and 1 half cups of soup equally among 3 smaller containers. This means that each container will hold (30 + 1/2) / 3 = 10 and 1/6 cups of soup.
Avery will pour out 10 and 1/2 cups of soup from the large pot into each of the 3 smaller containers. This means that after Avery has poured out all the soup, the large pot will be empty and the 3 smaller containers will each contain 10 and 1/2 cups of soup.
30 1/2 cups soup divided by 3: 10 1/6 cups or 10 1/2 cups per container.
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Avery will divide the 30 and 1 half cups of soup equally among 3 smaller containers. This means that each container will hold (30 + 1/2) / 3 = 10 and 1/6 cups of soup.
Avery will pour out 10 and 1/2 cups of soup from the large pot into each of the 3 smaller containers. This means that after Avery has poured out all the soup, the large pot will be empty and the 3 smaller containers will each contain 10 and 1/2 cups of soup.
helpp i did try before i came here so its not like im lazy i am trying to learn this the answer is not D i dont think comment to talk about this
The reason that supports the property in statement 8 is substitution. The correct option is C.
What is substitution?Substitution is the process of replacing variables (letters) in an algebraic expression with numerical values. The total value of the expression can then be calculated.
The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
The reason that supports the property in statement 8 is substitution. Because in the expression 6x - 7 the value of the variable x is substituted to get the value of the angle.
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