What Are sin cos and tan ratios?.

Answers

Answer 1

The three fundamental trigonometric ratios, namely sine, cosine, and tangent, each yield the ratio of the lengths of the two sides of a right-angled triangle.

We are aware that the sides of a right-angled triangle are called the "legs" and the "hypotenuse," respectively. Thus, the longest side of a right-angled triangle is still referred to as the "hypotenuse" in trigonometry, while the other two legs are referred to as the "opposite side" and "adjacent side."

The opposite, adjacent, and hypotenuse sides of a right-angled triangle are used to define the sin, cos, and tan functions in trigonometry. These are the sin, cos, and tan formulae.

sinФ = OppositeHypotenuse

cos Ф = AdjacentHypotenuse

tan Ф = OppositeAdjacent

To learn more about hypotenuse side questions:

https://brainly.com/question/2869318

#SPJ4


Related Questions

Estimate the amount of the tip by rounding the bill to the nearest ten dollars before calculating.

20% tip on a bill of $542.11


The amount of the tip is approximately $
.

Answers

Answer: $ 108.42

Step-by-step explanation: Take 20% of the total.

What is the quadratic polynomial whose sum and the product of zeroes is √ 2?.

Answers

The quadratic polynomial whose sum and the product of zeroes is x^2 - √2x + 1.

A degree two polynomial is a quadratic polynomial. The formula for a univariate quadratic polynomial is f(x)=a 2x2+a 1x+a 0. A quadratic equation is one that contains a quadratic polynomial. For the answers of any arbitrary quadratic problem, there is a closed-form solution known as the quadratic formula.

A quadratic polynomial's general formula is represented as f(x)=ax2 + bx + ca. A parabola is the name of the quadratic polynomial's curve. A quadratic polynomial is one that has the formula ax2 + bx + c, where a, b, and c are all real values and an is 0.

Only a few quadratic polynomials are amenable to the factorization technique. The quadratic polynomial formula, however, can be used for any quadratic problem.

In addition, the discriminant's value can be used to examine the characteristics of a quadratic polynomial's roots.

To know more about Quadratic polynomial visit:

https://brainly.com/question/3204522

#SPJ4

Where do you find the solution to a system?.

Answers

There are several methods for finding the solution to a system of equations, which include:

1. Graphing: This method involves plotting the equations on a coordinate plane and finding the point(s) of intersection. This method is useful when the system has a small number of variables and the equations are in the form of y = mx + b.

2. Substitution: This method involves solving one of the equations for one variable and then substituting that expression into the other equation. This method is useful when one equation is easier to solve than the other or when one equation is a simpler form than the other.

3. Elimination: This method involves adding or subtracting the equations to eliminate one of the variables. This method is useful when the variables are in similar forms and the coefficients are easy to add or subtract.

4. Matrix method: This method involves solving the system of equations in matrix form using matrix algebra techniques such as Gaussian elimination, Gauss-Jordan elimination and Cramer's rule. This method is useful when the system of equations have a large number of variables and when you want to solve system of equations in a more efficient and less time-consuming way.

5. Numerical methods: This method involves using numerical techniques such as Newton-Raphson method, Iterative methods to approximate the solution of a system of equations.

It is important to note that in some cases, a system may have no solution or infinitely many solutions. A system has no solution when the equations are inconsistent, meaning they cannot be true at the same time. A system has infinitely many solutions when the equations are dependent, meaning one equation can be derived from the other equation

To learn more about Solutions of a System

Visit; brainly.com/question/26207592

#SPJ4

How do you solve log base questions?.

Answers

The answer to the equation for the logarithm of 1 in base 7 is x=0, where x is the power to which 1 must be raised in order to obtain the value 7.

The definition of the logarithm function, which is the inverse of the exponential function and reads log b(x) = y, is by = x. To put it another way, it reflects the increment in base b that must be raised in order to obtain the value x.

When solving log 7(1), we are seeking the power to which 7 must be increased in order to obtain the value 1.

Since 1 is the result of raising any number to the power of 0, we may state that 70 = 1, which implies that log 7(1) = 0.

Finding the value of x that makes the equation log 7(x) = 1 true is necessary to solve log base 7 1.

Log b(x) = y signifies that b = y using the definition of a logarithm.

Therefore, we can put 1 = 7x and obtain x = log7(1) = 0 to solve log7(1).

So, x=0 is the answer to the logarithm in base 7 of 1.

Learn more about logarithmic functions here;

https://brainly.com/question/1583819

#SPJ4

Can X² 1 be the quotient on division of X 2x² x 1 by a polynomial in x in degree 5?.

Answers

After solving, we check that [tex]x^2[/tex] - 1 cannot be the quotient of p(x).

In the given question, we have to check whether the quotient is [tex]x^2[/tex] - 1.

The given polynomial is [tex]x^6 + 2x^3[/tex] + x - 1 is divided by a polynomial in x of degree 5.

Given a polynomial p(x) and a non-zero polynomial g(x), the division algorithm asserts that there are polynomials q(x) and r(x) such that p(x) = g(x) q(x) + r(x), where r(x) = 0 or degree r(x) < degree g(x).

5th degree polynomial because the power of the dividend should equal the degree of the product of the quotient and the divisor.

Degree 1 will result from the division of a degree of polynomial 6 by a degree of polynomials 5 and 6.

From the given question,

P(x) = [tex]x^6 + 2x^3[/tex] + x - 1

g(x) = x in degree of 5

q(x) = x² - 1

So,

[tex]x^6 + 2x^3[/tex] + x - 1 = (x in degree of 5)([tex]x^2[/tex] - 1) + r(x)

[tex]x^6 + 2x^3[/tex] + x - 1 = x in degree of 7

Hence, [tex]x^2[/tex] - 1 cannot be the quotient of p(x).

To learn more about finding the quotient link is here

brainly.com/question/30097546

#SPJ4

The complete question is:

Can [tex]x^2[/tex] - 1 be the quotient on division of [tex]x^6 + 2x^3[/tex] + x - 1 by a polynomial in x of degree 5?

____ is standard deviation a measure of center or a measure of variation

Answers

Standard deviation is a measure of variation.

The degree of variance or dispersion in a set of data values is measured statistically using the standard deviation. It reveals how far the data values differ from the data set's average. Data points tend to be close to the mean when the standard deviation is low, and are dispersed over a larger range when the standard deviation is high.

While measurements of the centre, such as mean, median, and mode, are used to describe a data set's central tendency. The median is the midway value when a data set is ordered, and the mode is the value that appears in a data set the most frequently. The mean is the sum of the data divided by the number of observations.

Read more about Standard deviation on:

https://brainly.com/question/24298037

#SPJ4

What are the 4 lines of symmetry?.

Answers

The 4 lines of symmetry is square.

In math the imaginary line or axis along which you can fold a figure to obtain the symmetrical halves is called the line of symmetry.

Here we need to find the 4 lines of symmetry.

As we all know that the line of symmetry is known as  a balanced and proportionate similarity that is found in two halves of an object.

So, based on these definition, we have identified that A square has four lines of symmetry.

Because it can be folded in half over either diagonal or the horizontal segment which cuts the square in half or the vertical segment which cuts the square in half.

Therefore the square has four lines of symmetry.

To know more about line here.

https://brainly.com/question/25727583

#SPJ4

How do you solve 3x 4y =- 12?.

Answers

The solution of equation 3x + 4y = -12 for y is y = -3 - 3/4 x.

In the given question, we have to solve 3x + 4y = -12 for y.

The given equation is 3x + 4y = -12.

To solve this equation for y, we have to isolate the y.

Now solving the given equation.

3x + 4y = -12

Subtract 3x on both side, we get

4y = -12 - 3x

Divide by 4 on both side, we get

y = [tex]\frac{1}{4}[/tex](-12 - 3x)

Now simplifying the expression.

y = -12/4 - 3/4 x

y = -3 - 3/4 x

Hence, the solution of equation 3x + 4y = -12 for y is y = -3 - 3/4 x.

To learn more about solving the equation for any variable link is here

brainly.com/question/1968856

#SPJ4

The complete question is:

How do you solve 3x + 4y = -12 for y?

Please help yall!


What is the total sales for bicycles for store 1 and 2?


What is the total cost for bicycles for store 1 and 2?


What is the total profit for bicycles for store 1 and 2?

Answers

The total sales for bicycles for store 1 and 2 = 54 bicycles.

Thee total cost for bicycles for store 1 and 2= $7,530

The total profit for bicycles for store 1 and 2= $12,420

How to calculate the number of sales?

The total sales for bicycles for store 1 and 2 can be calculated as thus;

Store 1 = 15+20 = 35

Store 2 = 10+9 = 19

Total sales for store 1 and 2 = 35+19 = 54

The total cost for bicycles for store 1 and 2=

Store 1 = 150×35= $5,250

Store 2 = 19× 120 = $2,280

The total cost for bicycles in both stores= $5,250+$2,280= $7,530.

The total profit for bicycles for store 1 and 2=

Store 1 = 230×35 = $8,050

Store 2 = 230×19 = $4,370

The total profit from both stores = $8,050+$4,370= $12,420.

Learn more about profits here:

https://brainly.com/question/29785281

#SPJ1

How do you solve system of 2 linear equations using graphical method?.

Answers

The graphical technique is a strategy for resolving a set of linear equations by creating a graph. The following are the steps needed to solve a system of two linear equations graphically.

Get the two-variable linear equation system that is supplied.

Plot the first equation's graph on the same coordinate system as the second equation.

Plotting the graphs may result in the following three situations:

The presented system has a singular solution provided by the coordinates at the point of intersection if the line intersects at that place.

The system is consistent and contains an endless number of solutions if the lines coincide.

If the lines are parallel, the provided equation system is inconsistent, meaning it cannot be solved.

Consider two linear equations,

y = x - 1

y = 2x + 2

The equations should now be graphed in the coordinate plane.

The graph shows that the common point (-3, -4) where the two linear equations cross is the answer to the given system of linear equations.

As a result, we can solve linear equations graphically by plotting the graph on the coordinate system.

To know more about linear equations:

https://brainly.com/question/14308613

#SPJ4

Find the unknown measures.
3.
A
50°
B
?
?
C

Answers

The measure of angle B is 50 degrees and angle C is 80 degrees.

What is the angle sum property of a triangle?

The angle sum property of a triangle states that the sum of interior angles of a triangle is 180°.

In the given triangle, we can use the concept of triangle angle sum to find the unknown measures.

We know that the sum of the angles in a triangle is always 180 degrees.

Therefore, if we know two angles in a triangle, we can find the third angle by subtracting the sum of those angles from 180.

We are given that angle A is 50 degrees. We are also given that angles B and C are unknown. Therefore,

we can use the following equation to find the measure of angles B and C:

A + B + C = 180

50 + B + C = 180

B + C = 180 - 50

B + C = 130

So the sum of angles B and C is 130 degrees. Therefore, we can't find individual measures of angles B and C.

Alternatively, we can use the property of the angle pair which states that if two parallel lines are intersected by a transversal, the alternate interior angles are congruent.

If we know that angle A and angle B are congruent, we can find the measure of angle B as 50 degrees. As a result, angle C will be 180 - 50 - B = 130-50 = 80 degrees.

Hence, the measure of angle B is 50 degrees and angle C is 80 degrees.

To learn more about angle sum property visit,

brainly.com/question/28164102

#SPJ1

explain how you could write a quadratic function in factored form that would have vertex with an x-coordinate of 3 and two roots

Answers

of 5

The quadratic function in factored form would be (x-5)(x-5)(x-3). The vertex of this function has an x-coordinate of 3 and two roots of 5.
5 will be the correct answer

What is the general equation for a double-displacement reaction?

Answers

Answer:

AB + CD → AD + CB

Explanation:

The double-replacement reaction generally takes the form of AB + CD → AD + CB where A and C are positively-charged cations, while B and D are negatively-charged anions.

What is the solution to the equation 1 h 5 2 h 5?.

Answers

The solution to the equation 1 h 5 2 h 5 is 7.

In this case option A is correct

The solution can be obtained by following steps-

The given equation is the least common multiple of the denominators, which we multiply through to obtain, and then we eliminate common factors to obtain. Multiply 1 h5 1 h - 5 by h+5 h+5 h+5 h + 5 h + 5 to create a fraction with a common denominator. Multiply 2 h+5 by h+5 h+5 h- 5 h- 5 to get 2 h+5 written as a fraction with a common denominator.

We group like terms to get, we expand the brackets to get, this simplifies to, we now divide through by three to get,

[tex]h+ 2h= 16-5+ 10\\3h= 21\\h=7[/tex]

To learn more about equations here

https://brainly.com/question/28196676

#SPJ4

What is the solution to the equation 1 h 5 2 h 5?.

7890

How do you find the sum of a partial series?.

Answers

The sum of a partial series is calculated by Sn=∑ni=1ai=n(a1+an)2.

A function may get close to two distinct limits. There are two scenarios: one in which the variable approaches its limit by values larger than the limit, and the other by values smaller than the limit.

A partial sum is the total of a limited number of the series' terms. To see how the infinite sum behaves, we can examine a collection of these sums. The index of the final term in the sum is used to denote each of these partial sums.

When a group of numbers, known as addends or summands, are added together in mathematics, the outcome is their sum or total.

Learn more about Partial series:

https://brainly.com/question/13959589

#SPJ4

Please help
Explain one concept that you’ve learned in geometry. Please answer in at least two complete sentences
Will mark brainliest

Answers

Answer: Law of Sines: When we divide side a by the sine of angle A

it is equal to side b divided by the sine of angle B. It's also equal to side c divided by the sine of angle C.

QS is a midsegment of PRT
IF PT=x+67 and QS=x+27, what is the value of x?

Answers

The value of x is 13 if QS is a midsegment of PRT

What is Triangle?

A triangle is a three-sided polygon that consists of three edges and three vertices.

Given that QS is a midsegment of PRT

IF PT=x+67 and QS=x+27,

We need to find the value of x

From midsegment theorem we have

QS=1/2(PT)

x+27=1/2(x+67)

x+27=x/2+67/2

x-x/2=67/2-27

x/2=13/2

x=13

Hence, the value of x is 13 if QS is a midsegment of PRT

To learn more on Triangles click:

https://brainly.com/question/2773823

#SPJ1

Carl is attempting to find the value of x by using the side splitter theorem. Carl set up the proportion 63=12x. If carl is correct, what should his answer be? if carl is incorrect, what is the correct proportion and answer?.

Answers

Carl is correct the value of x by using the side splitter theorem is 6

[tex]\frac{6}{3} = \frac{12}{x}[/tex]

Required

Is Carl correct?

The side splitter theorem is a theorem that states that when a line passes through the two sides of a triangle and is parallel to the third remaining side, the line divides the two sides proportionally.

Using the side splitter theorem, the proportion is:

[tex]\frac{AB}{BC} = \frac{AE}{ED}\\[/tex]

This gives:

[tex]\frac{6}{3} = \frac{12}{x}[/tex]

This proportion is equivalent to Carl's.

Hence, Carl is correct.

Solving further: Cross Multiply

6 * x = 12 * 3

6x = 36

Make x the subject

[tex]x=\frac{36}{6}[/tex]

x =6

Carl is correct the value of x by using the side splitter theorem is 6

To know more about side splitter theorem visit brainly.com/question/30105519

#SPJ4

How many symmetrical lines do they have? ​

Answers

Answer:3 symmetrical lines

Step-by-step explanation: just look in the middle and draw a line

Determine whether each scenario is best represented by a discrete or continuous domain.

1. The distance a woman walks and runs during her morning workout. Discrete or continuous?

2. The local candy store sells ring pops for 5 cents each. Discrete or continuous?

3. The baseball’s height compared to it’s horizontal distance after being thrown by a player. Discrete or continuous?

4. The market sells grapes by the pond. Discrete or continuous?

5. The amount paid when purchasing cans of peas. Discrete or continuous?

Answers

The scenario is best represented by a discrete or continuous domain is

a. discrete

b. continuous

c. discrete

d. continuous

e. discrete

What is discrete?Constituting a distinct entity being unique in one's own right. divided into multiple independent portions; made up of separate or unrelated components: having a limited or countably infinite range of values is referred to as being noncontinuous. continuous probabilities. having a separate existence or form from other entities with a similar nature; separate.There are four distinct neighborhoods in this area, all clustered around a school. different from others; distinct; set apart: six separate pieces. containing or characterized by separate or different components; discontinuous."Discrete" means separately separate, different, or unconnected, whereas "discreet" means to do anything in a clandestine, low-profile, or cautious manner.opposite of cautious and sensible in words or behavior. Indiscreet, ill-advised, hasty, and unwise.

To learn more about Discrete refer to:

https://brainly.com/question/26218492

#SPJ1

Graph 16x - 4y = 12
(You can only graph on the given points)
*NO IN BETWEEN*​

Answers

16x - 4y = 12

4x - y = 3

4x = 3+y

x= 3+y/4

for y = 1

x= 3+1/4 = 1

y = 2

x=3+2/4 = 5/4 = 1.25

y = 3

x = 3+3/4 = 6/4 = 1.5

Exponential functions

Answers

The average rate of change between 2006 and 2010 is 172.

What is average rate?

Average rate is a statistical measure used to compare a set of values or quantities. It is calculated by taking the sum of the values, then dividing by the number of values in the set. Average rate is most often used to measure the average performance of a group, individual, or business over a certain period of time.

The average rate of change between 2006 and 2010 is calculated by taking the difference in the values of the function for the two given years and then dividing it by the difference in the two years.
In this case, the difference in the values of the function for 2006 and 2010 is 1725 - 1037 = 688. The difference in the two years is 2010 - 2006 = 4.
Thus, the average rate of change is 688/4 = 172.
Therefore, the average rate of change between 2006 and 2010 is 172.

To learn more about average rate
https://brainly.com/question/24313700
#SPJ1

Which vehicle gets the best mileage per gallon?


A 4-column table with 3 rows. Column 1 is labeled Vehicle with entries Sedan, Minivan, Truck. Column 2 is labeled Miles Traveled with entries 630, 798, 864. Column 3 is labeled Gasoline Used (gallon) with entries 35, 42, 54. Column 4 is labeled Unit Rate with entries 18, 19, 16.





Answers

The vehicle with best mileage per gallon is Minivan vehicle .The maximum milage value is 19 miles/gallon.

We have, a table as present in above figure. The table contains 4-column and 3 rows. Column 1 is labeled different Vehicles, Column 2 is labeled Miles Traveled and Column 3 is labeled Gasoline Used (gallon). We have determine the vehicle gets the best mileage per gallon. Milage of a vehicle means how many distance vehicle going to run per quantity of fuel. In this cas milage of vehicle is miles going to run per gallons of fuel.

The formula to calculate gas mileage is

Milage = Miles Traveled/ Gasoline used (gal).

Now, we consider each row one by one.

Milage for Sedan = 630/35 = 18 miles/gallon

Milage for Minivan = 798/42 = 19 miles/gallon

Milage for Truck = 864/54 = 16 miles/gallon

Hence, the required vehicle is Minivan with milage of 19 miles/gallon.

To learn more about milage of vehicle, refer:

https://brainly.com/question/30447780

#SPJ4

Complete question:

Which vehicle gets the best mileage per gallon? The above table complete the question. A 4-column table with 3 rows. Column 1 is labeled Vehicle with entries Sedan, Minivan, Truck. Column 2 is labeled Miles Traveled with entries 630, 798, 864. Column 3 is labeled Gasoline Used (gallon) with entries 35, 42, 54. Column 4 is labeled Unit Rate with entries 18, 19, 16.

2.
Recall that Stella is the pacesetter the 4:10
pace group of a marathon and is required to
finish within 2 minutes of the pace time.
Stella must run between
minutes and
meet the requirement.
minutes in order to

Answers

Stella must run between 248 minutes and 252 minutes in order to meet the requirement.

What is the time-to-minute conversion?

As an hour consists of 60 minutes, we can convert hours into minutes by multiplying hour by 60. So, for example, if one wants to convert 3 hours into minutes, one can do it by multiplying 3 by sixty which will give 3 x 60 = 180 minutes.

To figure out the range of times within which Stella must finish the marathon in order to meet the requirement of finishing within 2 minutes of the 4:10 pace time,

we can use the following steps:

Convert the pace time of 4:10 to minutes.

Since there are 60 minutes in an hour, 4:10 is equal to 4 * 60 + 10 = 250 minutes.

Add 2 minutes to the pace time. Since Stella must finish within 2 minutes of the pace time, this gives us a finish time of 250 + 2 = 252 minutes.

Subtract 2 minutes from the pace time. Since Stella must finish within 2 minutes of the pace time, this gives us a finish time of 250 - 2 = 248 minutes.

The range of times within which Stella must finish the marathon in order to meet the requirement is 248 to 252 minutes.

Hence, Stella must run between 248 minutes and 252 minutes in order to meet the requirement.

To learn more about time-to-minute conversion visit,

https://brainly.com/question/7780685

#SPJ1

you want to buy a pair of shoes that cost $65 but you have a coupon that will reduce the prove by $15 what would the percent decrease be

Answers

Answer: 76.92%

Step-by-step explanation:

To find the percent decrease is simple. First let's find the difference: 65 - 15 which gives you 50. 50/65 * 100 = 76.92%.  Have a good day ;)

what is the solution to the system or equations graphed below?
y = -3/2 x + 2 y = 5x = 28
A. (-4,8)
B.(4,8)
C.(-8,4)
D.(0,2)

Answers

Answer:

It is A im preety sure

Step-by-step explanation:

very sorry if im wrong but im almost possitive its A

what are the steps to evaluate an exponential expression

Answers

The steps to evaluate an exponential expression include:

Identify the base and the exponent in the expressionReplace the base with the value that you want to use.Use the exponent to determine how many times the base should be multiplied by itself.Perform the multiplication and simplify the expression.

How to evaluate an exponential expression ?

First, you need to identify the base which is the number being raised to a power, and the exponent is the power to which the base is being raised. Then replace this base with the value that is needed to be used.

Use this exponent such that you can find out the number of times the base will multiply itself and then do the multiplication and simplify the expression.

Find out more on exponential expressions at https://brainly.com/question/5085217

#SPJ1

1/7 (x + 3/4) = 1/8 solve for x

Answers

Answer: 1/8

Step-by-step explanation:

which variable is it?

first or second one?

Answers

Answer:

p is the dependant variable and w is the dependent variable

Step-by-step explanation:

The number of plots is dependent because the number of plots doesnt change. The amount of wheat depends on the amount of plots you have.

5 1/5 + 3 1/3 = 9 2/3 is this correct?

Answers

simplify and u get 1/4 i think
Other Questions
Which of the following statements is false? aNoninfectious diseases caused by an unhealthy lifestyle can be prevented. bNoninfectious diseases are not caused by a pathogen. cVaccinations do not help prevent infectious disease. dFungi, protozoans, viruses, and bacteria are all pathogens. A critical part of adolescence is identity formation.truefalse A grocery store sells a bag of 6 oranges for 3.27 how much would it cost for 9 oranges The textbook describes five trends in the 1980s and 1990s that influenced the transition to end-user computing. They include: an increased backlog in requests for new applications; an increase in the number of knowledge workers; the availability of inexpensive personal computers; the development of graphical user interfaces; and the availability of inexpensive ____________________. where is the sevanavank monastery, dating back to the fourth century? not yielding to visually impaired pedestrians is a misdemeanor The excerpt is from Article II, Section 1 of the U.S. Constitution."The executive Power shall be vested in a President of the United States of America."According to the excerpt, what is the function of the Executive Branch?A) to pass lawsB)to create lawsC)to enforce lawsD)to interpret laws Select all the parameters that can be determined by analyzing a protein sample with tandem mass spectrometry.a. amino acid sequenceb. genetic sequencec. isoelectric pointd. precursor ion mass Which of the statements below might NOT have caused the shift in aggregate supply shown in the diagram below? Price level AS2 AS1 P2 P1 AD 0 Y2Y1 Real national output . An increase in cost O B. An increase in minimum wage O C. A reduction in government expenditure O D. An improvement in technology Which of the following was NOT a contributor to Britain peaking? A. Dominance B. Women's rights C. Influence D. Power FIND THE VALUES OF X AND Y Suppose f(x) is continuous and defined for all real numbers. You are given that f(x) has critical points at x = -1 and x = 0. If f'(x) is positive in the interval x < -1, negative in the interval -1 < x < 0, and positive in the interval x > 0, is the point where x = -1 the location of a relative maximum, minimum, or neither? Maximum Minimum Neither An angle measures 69.2 less than the measure of its complementary angle. What is the measure of each angle? What are the 4 methods in solving quadratic equation?. with which of the following models do many users share a certain amount of bandwidth until the transmissions reach the isp's core network ? What religion became the dominant religion of Vietnam?O HinduismO ChristianityO BuddhismO Islam What role does the authors use of figurative language play in developing the theme ? What evidence from the text supports your answer? What are Alices main concerns in the text aristotle's golden mean defines moral virtue as a middle state determined by practical wisdom that emphasizes moderation and temperance.T/F x + y = 55y=6Its simultaneous equationsIt would really help