On a hot summer day, jay set up a lemonade stand. He kept track of how many glasses he sold on his phone
A. Write two equations that relate the number of large glasses sold i and the number of small glasses sold s. ?
B. Solve the system of equations
C. How many small glasses were sold?
D. How many large glasses were sold?
On solving the provided question, we can say that - the value of the linear equation is 2y+8x = 140
What is a linear equation?The algebraic equation y=mx+b is known as a linear equation. B is the y-intercept, and m is the slope. The previous sentence, where y and x are variables, is commonly referred to as a "linear equation in two variables." Bivariate linear equations are those that contain two variables in them. The linear equations 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3 are examples. When an equation has the formula y=mx+b, with m denoting the slope and b the y-intercept, it is referred to as being linear.
here, we have 2y + 8x
and x = 10 ; y = 15
2y + 8x
20 + 120 = 140
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7. In triangle ACE points B, D and F are midpoints of the sides. If AC=48
and FB=23. Find EC. The diagram is not to scale. 2 points
Since points D and F are the intersections of sides AC and AE, In triangle respectively, DF is parallel to EC and so EC is twice as long as DF. Thus, the value of side EC is 32.
What is the triangle?Given that it has 3 components and three vertices, a triangle qualifies as a polygon. It has a fundamental geometric form. Triangle ABC is the name given to a triangular with the corners A, B, and C. When the three aspects are not collinear, Euclidean geometry yields a single plane and triangle. Triangles are regarded as polygons since they have 3 components and three corners. The points where a triangle's three sides meet are referred to as its corners. Three triangle angles are multiplied to get 180 degrees.
Given :
Triangle ACE
The midpoint of EC is side, where AC = 38 B.
D sits in the middle of EC.
The center of AE is F.
DF = 16.
Given that D is the midpoint of EC and that F is the midpoint of AE, it follows that DF is parallel to AC.
If DF and AC are parallel, then DF and AC are equal to twice each other and DF equals 16. Thus, EC equals 32.
=>EC = 2*DF
=>EC = 2*16
=>EC = 32
It follows that if points B, D, and F are the midpoints of the sides of the triangle ACE, then DF is parallel to AC and EC = 2 x DF = 32.
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A state trooper used a radar gun to measure the speed (in miles per hour) of all the cars that drove past her stretch of highway in a twenty minute period. She separated the results by whether the cars were traveling northbound or southbound. The histograms show the speed of each car that she recorded.
Which statement is an appropriate inference based on the median of each data set?
Question 4 options:
1.)The northbound cars were generally faster because the median for the northbound cars is less than the median for the southbound cars.
2.)The northbound cars were generally faster because the median for the northbound cars is greater than the median for the southbound cars.
3.)The southbound cars were generally faster because the median for the northbound cars is less than the median for the southbound cars.
4.)The southbound cars were generally faster because the median for the northbound cars is greater than the median for the southbound cars.
Answer:
2.
Step-by-step explanation:
There are more boxes towards the highest numbers which means that the medians for northbound cars are generally high while the medians for southbound cars are located more on the smaller numbers representing the speed.
Please I need help with all four who or whom
Answer: 2=who
3=who
4=whom
5=I
Step-by-step explanation:
What is the slope of 5x 2y =- 3?
The slope of 5x 2y =- 3 is -5/2.
To find the slope of the equation 5x 2y =- 3, we need to rearrange it into the slope-intercept form y = mx + b, where m is the slope and b is the y-intercept (the point where the line crosses the y-axis).
We start by rearranging the equation 5x 2y = -3 so that all the terms with y are on one side and all the terms with x are on the other side.
5x -2y = -3
Now, we divide both sides by -2 to isolate y.
-5x/2 = y + 3/2
Finally, we subtract 3/2 from both sides to get the equation in the slope-intercept form.
-5x/2 = y - 3/2
Therefore, the slope of the equation 5x 2y = -3 is -5/2.
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A triangle has an angle that measures 126°. The other two angles are in a ratio of 11:16. What are the measures of those two angles?
Therefore, the measures of those two angles are 33° and 24°.
Define angles.An angle is a figure in plane geometry that is created by two rays or lines that have a shared endpoint. The Latin word "angulus," which means "corner," is the source of the English term "angle."
Define geometry.Geometry is a branch of mathematics that studies the sizes, shapes, positions, angles, and dimensions of things.
We know, the sum of the angles in a triangle is always 180 degrees.
126 + x + y = 180
x + y = 54
Given that the two angles are in a ratio of 11:16, the proportion:
x/y = 11/16
Solving for x and y, we get:
x = 11y/16
We substitute this equation into the equation x + y = 54 and we get:
11y/16 + y = 54
Solving for y we get y = 24. Then we can use the proportion to find x:
x = 11 * 24 / 16 = 33.
So the two angles are 33° and 24°.
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Which fraction is greater 28/16 or 7/4
Answer:
business plan proposal
Answer:
we have to make the denominator of both the fraction same so that we can compare.
We have to multiplybboth nominator and denominator by 6.then,
7×6/4×6=28/16
Now, comparing 28/6 and 28/6 we get to know that both the fraction are proportional.i.e.28/16=7/4
*mark me brainliest
x - y if X is -11 and y is 26
Answer: -37
Step-by-step explanation: -11-26
Hape a and hape b are each made from five identical quare
The perimeter of hape a i 60 cm
work out the perimeter of hape b
50 cm is the required perimeter of shape B.
What is the perimeter?A closed path that covers, encircles, or outlines a one-dimensional length or a two-dimensional shape is called a perimeter.
A circle's or an ellipse's circumference is referred to as its perimeter.
There are numerous uses in real life for perimeter calculations.
We must sum up the lengths of the rectangle's four sides in order to get its perimeter.
So, according to the given figures:
Shape A's circumference is 60 cm.
Let x cm be the length of each square.
The total length of shape A's free bounds is equal to 12x.
Consequently, 12x = 60.
x = 5 cm
Currently, the length surfaces of form B equal 10x.
Shape B's perimeter equals 10x.
= 10(5)
= 50 cm
Therefore, 50 cm is the required perimeter of shape B.
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Correct question:
Shape A and Shape B are each made from 5 identical squares.
The perimeter of shape A is 60cm. Work out the perimeter of Shape B
100 points + Brainliest Let C represents the cost in dollars and R represents the revenue in dollars. What is the break-even point? Use a table to help if necessary.
C=36x+200
R=76x
Break-even point: (,)
Answer:
(x, {C and/or R}) = (5, 380)
Step-by-step explanation:
You want the break-even point when cost (C) and revenue (R) are given by ...
C = 36x +200R = 76xProfitProfit is the difference between revenue and cost. The break-even point is the point at which profit is zero:
P = R -C
0 = 76x -(36x +200)
0 = 40x -200 . . . . simplify
0 = x -5 . . . . . . . . . divide by 40
x = 5 . . . . . . . . . add 5
The break-even point is at x=5. Revenue and cost are both 380 at that point.
TableIf you prefer to look at these values in a table, you can consider ...
[tex]\displaystyle \begin{array}{ccc}x&C&R\\\cline{1-3}\vphantom{\^B}3&308&228\\4&344&304\\5&380&380\\6&416&456\end{array}[/tex]
We notice that cost and revenue are the same for x=5. They are both 380 for that value of x.
GraphAnother way to find the break-even point is to use a graph to plot cost and revenue on the same vertical axis. The point at which the lines cross is the break-even point. The break-even point coordinates are (5, 380).
plane flew from Red Deer to Winnipeg, a flying distance of 1260 km. On the return journey, due to a strong head wind, the plane travelled 1200 km in the same time it took to complete the outward journey. On the outward journey, the plane was able to maintain an average speed 20 km/hr greater than on the return journey. Calculate the average speed of the plane from Winnipeg to Red Deer.
The average speed of the plane from Winnipeg to Red Deer is 400 km/h
What is average speed?Average speed is total distance travelled over total time taken.
What is the average speed of the plane from Winnipeg to Red Deer?Since a plane flew from Red Deer to Winnipeg, a flying distance of 1260 km. On the return journey, due to a strong head wind, the plane travelled 1200 km in the same time it took to complete the outward journey. On the outward journey, the plane was able to maintain an average speed 20 km/hr greater than on the return journey.
Let
v = speed of plane on outward journey , v' = speed of plane return journey and t = time of travelSince the plane travels 1260 km on the outward journey, we have that
1260 = vt (1)
Also, the plane travels 1200 km on the inward journey, we have that
1200 = v't (2)
Since the plane was able to maintain an average speed 20 km/hr greater than on the return journey, we have that
v = v' + 20 (3)
Substituting equation (3) into (1), we have that
1260 = (v' + 20)t (4)
The required equations are
1260 = v't + 20t (4)
1200 = v't (2)
Subtracting equations, (2) from (4), we have that
1260 = v't + 20t (4)
-
1200 = v't (2)
60 = 20t
t = 60/20
t = 3 h
From equation (2), we have that the average speed
v' = 1200/t
Substituting t = 3 into the equation, we have that
v' = 1200/3
v' = 400 km/h
So, the average speed is 400 km/h
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How do you write log2 in exponential form?
To change logarithmic form to exponential form, spot the logarithmic equation's base and move the base to another side to the equal sign. Moving the base will make the current number or variable into the exponent.
Do not move something but the base: the other numbers or value will not change sides, and the word "log" will be release.
Log Rules:
1. the first rule is logb(mn) = logb(m) + logb(n)
2. the second rule is logb(m/n) = logb(m) – logb(n)
3. the third rule is: log b (mn) = n · logb(m)
1. Multiplication can be turned outside the log into addition and vice versa can be turned.
2. Division can be spin outside the log into a subtraction, and vice versa.
3. An exponent can be proceeded as a multiplier outward on all within a log, and vice versa.
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Tyrell is traveling to Chicago, Illinois. He takes a cab service from the airport to his hotel. The table shows the linear relationship between the number of miles the cab travels, x, and the total fee, y.
Cab Fare
Number of Miles Total Fee
2 $17.00
5 $21.50
7 $24.50
10 $29.00
15 $36.50
What does the y-intercept mean in this situation?
When the cab travels 0 miles, the total fee will be $14.00.
When the cab travels 0 miles, the total fee will be $1.50.
For every additional mile the cab travels, the total fee increases by $14.00.
For every additional mile the cab travels, the total fee increases by $1.50.
The y-intercept in this situation means A. When the cab travels 0 miles, the total fee will be $14.00.
What is the y-intercept?The formula to find the y-intercept is y = f(x), where x = 0, and then solve for y.
The equation for a linear relationship is y = mx + b, where x is the independent variable, y is the dependent variable, m is the slope of the line, and b is the y-intercept.
Cab Fare
Number of Miles Total Fee
2 $17.00
5 $21.50
7 $24.50
10 $29.00
15 $36.50
Difference between 7 and 5 = 2
Difference between $24.50 and $21.50 = $3
Variable cost per mile (Slope) = Rise/Run
= $1.50 ($3/2)
y = mx + b
y-intercept, b = 24.50 - 7(1.5)
= 14
= $14.00
Thus, the y-intercept in this situation means Option A while the slope shows that for every additional mile, the total fee increases by $1.50.
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Answer:
The y-intercept in this situation means A. When the cab travels 0 miles, the total fee will be $14.00.
Step-by-step explanation:
Math help quick guys where ya at
The required dimensions are solved using linear pair and vertical angle to get the result as
x = 40y = 35Angle AED = angle CEB = 125 degreesAngle DEB = Angle AEC = 55 degreesHow to find the value of x and yThe value of x and y is calculated using linear pair theorem, the theorem implies that
solving for x
(3x + 5) + (x + 15) = 180
3x + x + 5 + 15 = 180
collecting like terms
4x = 180 - 15 - 5
4x = 160
x = 40
solving for y
(y + 20) + (4y - 15) = 180
y + 4y + 20 - 15 = 180
collecting like terms
5y = 180 - 20 + 15
5y = 175
y = 35
Angle AED
= 3x + 5
= 3 * 40 + 5
= 125 degrees
Angle AED = angle CEB = 125 degrees (vertical angles)
Angle DEB
= x + 15
= 40 + 15
= 55 degrees
Angle DEB = Angle AEC = 55 degrees (vertical angles)
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Exit ticket
The length of the sides of two triangles is as follows:
ZY = 14, YX = 9, XZ = 8 PR = 5, RQ = 7, and QP = 4
is AZXY~ AQPR? Use a flowchart to organize your facts and conclusions.
Therefore , the solution of the given question triangle comes out to be
triangle PQR to triangle ZXY is 3/2
Defining a triangleYou can link any three points in a plane to form triangles, which have three sides and three angles. They were among of the first geometric forms to be examined. Since triangles may be divided into any polygon, regardless of whether it has four, five, six, or n sides, they are very significant.
Here,
Consider PR and ZY as a point of comparison.
PR = 5
ZY = 14
Suppose the scaling factor is r and that
5 * r = 14
r = 14 / 5
r = 14/5
examining other sides
RQ to PR
right 5 * 12/3 = 20
To YX, QP
Correct answer is 4 * 9/3 = 12.
Thus,
triangle PQR to triangle ZXY
Therefore , Triangle PQR to Triangle ZXY equals 3/2, which is how the given question's solution is determined.
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Andrew grew 4 1/3 inches during a 3 1/2 month growth spurt. If his growth spurt continued at the same rate, how much did he grow in one month
If his growth spurt continued at the same rate Andrew will grow 26/7 inches per month during that growth spurt.
Describe age calculation.To calculate someone's age, you would subtract their birth year from the current year. For example, if someone was born in 1995 and it is now 2020, their age would be calculated as 2020 - 1995 = 25 years old.
If you have a birthdate, you can use a date calculator to find the exact age in years, months and days.
It's also important to note that, if the person's birthday hasn't occurred yet in the current year, you would subtract the birth year from the current year minus one.
We can start by converting the mixed number 4 1/3 to an improper fraction by multiplying the whole number by the denominator and adding the numerator: 4 x 3 + 1 / 3 = 13/3
To find out how much Andrew grew per month, we need to divide the total growth by the number of months.
13/3 inches / 3 1/2 months = (13/3) / (7/2) = (13/3) x (2/7) = 26/7 inches/month.
So, Andrew grew 26/7 inches per month during that growth spurt.
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Let n be the least positive integer for which 149^n-2^n is divisible by 3^3.5^5.7^7.$ Find the number of positive integer divisors of n.
Calculating the LCM of all these, one gets 2^2. 3^2 . 5^4 .7^5. Using the factor counting formula, the answer is 3.3.5.6 = {270}
Step-by-step explanation:
Note that for all n, 149^n-2^n is divisible by 149-2=147 by difference of nth powers. That is 3.7^2, so now we can clearly see that the smallest n to make the expression divisible by 3^3 is just 3^2 Similarly, we can reason that the smallest n to make the expression divisible by 7^7 is just 7^5.
Finally, for 5^5, take (mod {5}) and ( mod {25} )of each quantity (They happen to both be -1 and 2 respectively, so you only need to compute once). One knows from Fermat's theorem that the maximum possible minimum n for divisibility by 5 is 4, and other values are factors of 4. Testing all of them(just 1,2,4 using mods-not too bad), 4 is indeed the smallest value to make the expression divisible by 5, and this clearly is NOT divisible by 25. Therefore, the smallest (n) to make this expression divisible by 5^5 is $2^2 .5^4.
Using the factor counting formula, 2^2. 3^2 . 5^4 .7^5 = 3.3.5.6 = {270}
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What is the frequency of the function f(x)? f(x)=3cos(πx)−2 Express the answer in fraction form
Answer:
1/2
Step-by-step explanation:
You want to know the frequency of the function f(x) = 3cos(πx) -2.
FrequencyFor frequency f, the basic function (before vertical scaling or translation) will be written ...
f(x) = cos(2πfx)
That is, we can find the frequency by comparing the arguments of the cosine function:
πx = 2πfx
f = (πx)/(2πx) = 1/2
The frequency of the function is 1/2.
__
Additional comment
You will notice in the attached graph that there is 1/2 period in 1 horizontal unit. A full period takes 2 horizontal units, so the frequency is ...
(1 period)/(2 units) = 1/2 periods/unit.
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How do you solve inequalities in 7th grade?
Inequalities are mathematical expressions involving the symbols >, <, ≥ and ≤. To ‘solve’ an inequality means to find a range, or ranges, of values that an unknown x can take and still satisfy the inequality.
Suppose we want to solve the inequality x + 3 > 2.
We can solve this by subtracting 3 from both sides:
x + 3 > 2
x > −1
So the solution is x > −1. This means that any value of x greater than −1 satisfies x + 3 > 2.
Inequalities can be represented on a number line such as that shown in the image attached below. The solid line shows the range of values that x can take. We put an open circle at −1 to show that although the solid line goes from −1, x cannot actually equal −1.
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10 POINTS. Answer please.
The two sets A and B triangle must have identical items, but this does not require that they be put in the same order for the sets to be equal.
Describe the triangle.A triangle is a 2D shape with three vertices, three straight edges, and three straight edges. A key feature of these shapes is that each type of triangle has three inner angles that add up to 180° in these designs. during their math lectures about these angles and how to use this quality to spot missing values.
Here,
Triangle 1 in this instance has two angles, one of 34 degrees and the other of 48 degrees.
The third angle is therefore 180-34- 48=98.
The angles in Triangle 2 are 34 and a, where an is 48, respectively.
In other words, the third angle is 180−34−a=146−a≠146−48=98.
Jennifer claims that given the information at hand, triangles 1 and 2 cannot be compared.
If 34,98,48=34,a,146a., they are equivalent.
How many degrees will Jennifer's claim be ruled untrue? To compare the triangles, use the formula a.
It is crucial to understand that while components in two sets A and B must match, the sets are not always equal if they are not listed in the same order.
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Which two lines have the same slope
Answer: B
Step-by-step explanation: These lines are parallel. If you count over then down from point to point, then the slope for both lines is negative since it is going down, the slop is -2/1
Is 5 an algebraic term?
5 is not an algebraic expression.
Since it is obvious that 5 is a constant, even if constants constitute a component of the algebraic equation, they do not finish it. A variable and an operator are also necessary for an expression to qualify as an algebraic expression. Any unknown term, such as x, y, or z, can be a variable, and the operators + and - can be used. Terms with no associated variables are known as constants. A variable and an operator are also necessary for an expression to qualify as an algebraic expression.
It follows that 5 cannot be an algebraic expression.
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What is seed calculator?
Answer: The Seed Calculator app is used to calculate the amount of seed required in order to produce a desired crop yield.
Step-by-step explanation:
Find the value of xx in the equation below.
11=
11=
\,\,x -6
x−6
The required value of x is 17 for the given equation 11 = x - 6.
What is the equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
The equation is given in the question, as follows:
11 = x - 6
We can determine the value of x by adding 6 to both sides of the equation.
As per the question, we have
⇒ 11 = x - 6
⇒ 11 + 6 = x - 6 + 6
⇒ x = 11 + 6
Apply the addition operation, and we get
⇒ x = 17
Therefore, the required value of x is 17.
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For what value of a the system of equations Ax Y 2 and 6x 2y 3 has a unique solution?
The value of 'a' for which the system of equations has a unique solution is a = 4/3.
The given system of equations can be written as:
Ax = 2
6x – 2y = 3
To find the value of 'a' for which the system has a unique solution, we can solve the equations for 'x' and 'y' and equate them.
Solving for 'x' in the first equation, we get:
x = 2/a
Solving for 'y' in the second equation, we get:
y = (3 + 6x)/2
Substituting the value of 'x' in the above equation, we get:
y = (3 + 6(2/a))/2
Equating the two equations, we get:
2/a = (3 + 6(2/a))/2
Multiplying both sides of the equation by 'a', we get:
2 = 3a + 6
Subtracting 2 from both sides of the equation, we get:
3a = 4
Dividing both sides of the equation by 3, we get:
a = 4/3
Therefore, the value of 'a' for which the system of equations has a unique solution is a = 4/3.
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Let A, B and C represent distinct non-zero digits. Suppose x is the sum ofall possible 3-digit numbers formed by A, B and C without repetition.Consider the following statements1. The 4-digit least value of x is 1332.2. The 3-digit greatest value of x is 888.Which of the above statements islare correct?
Statement 1 is correct and Statement 2 is not correct.
As A, B and C represent distinct non-zero digits
For least value of x
Let A=1, B=2, C=3
The possible numbers that can be formed using 1,2,3 are 6 {using permutations}
123, 132, 213, 312, 231, 321
x is the sum of all possible 3-digit numbers formed by A, B and C without repetition so
x= 123+ 132+ 213+ 312+ 231+ 321
x=1332
So statement 1 is correct
statement 2 cannot be correct as least value of x is 4-digit so greatest value of x cannot be a three digit number.
The 4-digit least value of x is 1332 so Statement 1 is correct and Statement cannot be correct.
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A rectangle has an area of 16x + 24. What could the length and width of the rectangle be
The length and width of the rectangle will be 2 and 8x + 12
Area of rectangle = 16x + 24.
A rectangle is a four-sided geometric shape having opposite sides that are equal in length and four right angles. The length and width of the rectangle are its opposing sides.
A rectangle's area is found by multiplying its length and width together, so:
Area = length x width
Calculating the length and width of the rectangle -
Factoring out 2 from the equation -
Therefore -
2 (8x+12)
Since, the area is the length times width, thus -
2 x (8x+12)
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Write the place value and value of each digit of the decimals 6905.327 also write its name and expanded form
Answer:
6000.000 + 900.000 + 0 + 5 + 3/10 + 2/100 + 7/1000
six thousand nine hundred and five ones point(.) three tenths two hundredths and seven thousandths
Step-by-step explanation:
right!!!
What’s 36/6 as a whole number?
Answer:
It should be 6 because 6x6 is 36
Answer:
6
Step-by-step explanation:
fractions are division so just divide 36 by 6 and you will get 6 which is your answer
36/6 =
36 : 6 =
6
Which of the following best describes the figure with vertices (1, -4), (-2, 1), (3, 4) and (5, 2)?
Answer fast pls
Square
Parallelogram
Quadrilateral
Rectangle
Answer choices
The best description of the figure with the vertices given is, C. Quadrilateral
How to find the figure ?The figure given is a Quadrilateral firstly because it has 4 vertices and therefore 4 points. A Quadrilateral has four points as well which means this figure is a Quadrilateral.
The figure is not a Parallelogram because no two values of y are the same. A Parallelogram would have two points that have the same y value as there would be parallel lines involved.
To find out if the shape is a rectangle or square, find the lengths of the vertices using a distance calculator.
The length of (1, -4), and (-2, 1) is:
= 5.83 units
The length of (-2, 1), and (3, 4) is:
= 5.83 units
The length of (5, 2) and (3, 4) is:
= 2.82 units
The length of (5, 2) and (1, -4 ) is:
= 7.21 units
The shape is neither a square nor a rectangle so it is a quadrilateral.
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