Let x represent the number of chickens and y represent the number of sheep.There is no proper system equation so such farms does not exist as this equations contradict.
What is system of equations and how these equations contradict in the given questionA system of equations is a set of multiple equations with multiple variables that are related to each other. It is a mathematical problem that requires a solution for each equation in the system.
The total number of legs on the farm is given as "4x + 2y". What's more, we are told that the total number of animals is "x + y".
4x + 2y means the total legs
x + y = the number of total of animals
We'll now use the Elimination method to identify x and y.
One method is to multiply the first equation by 2 and subtract it from the second:
(2) * legs = (4x + 2y)
2x + 2y = the total number of animals
Legs = (2x + 2y)
0 = number of legs - 2 * the amount of animals
When we solve for the number of animals we get:
animal count = legs / 2
So, if we connect this back into either equation, we can find x and y.
Let's look at the first equation:
4x + 2y means the total legs
legs / 2 = x + y
When we substitute legs / 2 in the second equation for "number of animals," we get:
legs / 2 = x + y
Now we'll use substitution to find x. In the first equation, we'll substitute x = legs / 2 - y:
4x + 2y means the total legs
legs = 4(legs / 2 - y) + 2y
legs = 2 * legs - 4y + 2y
2 times legs = legs
There are no solutions due to this contradiction, and no such farm exists under the given conditions.
As a result, the answer to the system of equations is that no such farm occurs under the given conditions.
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3. For two cylinders ratio of diameters A and B, the ratio of lengths is 3 : 1 and the is 1:2. Calculate the ratio of their volumes.
Answer:
Alright so the Diameter ratio of cylinder a & b = 1:2 and Length (height) ratio of cylinder a & b = 3:1
We have to find the volume ratio of cylinder a & b.
Let the diameter of cylinder a = 1r and,the diameter of cylinder b = 2r, the length of cylinder a = 3h, and,the length of cylinder b = h
(h & r are assumed as variables)
So,
The radius of cylinder a = 1r/2
The radius of cylinder b = 2r/2 = r
So,
The volume of cylinder a = π × (1r/2)² × 3h = π × 1r²/4 × 3h = 3πr²h/4
The volume of cylinder b = π × (r)² × h = πr²h
Ratio of volume = 3πr²h/4 : πr²h = 3πr²h/4 × 1/πr²h = 3/4 = 3:4
So,the ratio of their volume is 3:4
Hope this helps!^^
Step-by-step explanation:
if 55% of a number is 176 and 35% of the same number is 112, find 90% of that number.
Answer:
288
Step-by-step explanation:
1. 176 = 55% × N
2. 176 = [tex]\frac{55}{100}[/tex] × N
3. N= 176×[tex]\frac{100}{55}[/tex]
4. N=320
5. [tex]\frac{90}{100}[/tex] × 320
=288
find the missing angle measure
The measure of the missing angle in the hexagon is 92°.
What is a polygon?A polygon is a closed more than two-sided and can be made up of a finite number of straight line segments and is a type of planar figure in geometry.
Each line of the polygonal circuit's segments are referred to as its edges or sides.
The figure has six sides so it is a hexagon and we know the sum of all the interior angles in a hexagon is 720°.
Therefore, 142° + 169° + 59° + 131° + 127° + x = 720°.
x + 628° = 720°.
x = 720° - 628°.
x = 92°.
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an angle is 60 degrees more than its complement. what are the measures of the two angles? list your angles from smallest to largest.
The measures of the two angles is 40° and 50° list your angles from smallest to largest is 40° to 50°.
When two straight lines or rays meet at the same place, an angle is formed. The vertex of an angle is the location at which all points meet. Angle is derived from the Latin word angulus, which means "corner." In the Early Middle Ages, England was home to a particular cultural group known as the Anglo-Saxons. They were the offspring of settlers who came to Britain from continental Europe in the fifth century. However, the ethnogenesis of the Anglo-Saxons occurred in Britain; they did not merely accept a foreign identity.
Let the angle be X
Let the complimentary angle be Y
X + 60 = 2Y … equation 1
Y + X= 90
(complimentary angles always equal to 90°)
Y = 90 - X …. equation 2
Substitute equation 2 into equation 1
[tex]X + 60 = 2 x (90 - X)\\X + 60 = 180 - 2X\\X + 2X = 180 - 60\\3X = 120\\X = 40[/tex] … equation 3
Therefore, the angle (X) equals 40°
To calculate Y, substitute equation 3 into equation 2.
[tex]Y = 90 - 40\\Y = 50°[/tex]
Therefore the complimentary angle is 50°
To check if the answer is correct
The angle (40) plus 60 is 100
The complementary angle (50) divided by two equals 100.
list your angles from smallest to largest is 40° to 50°.
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Without graphing, answer the following questions for each of the functions below: F(x) = x^2 + 8x^3 + k F (x) = x^6 + kx^4 - 9x^2 - 27 f (x) = -1/2x^7 - 441x^3 + k What are the end behaviours of this type of function (what quadrant does it begin and end in?) What is the maximum and minimum number of x-What is the maximum and minimum number of turns for this type of function? State if thereintercepts for this type of function? are any restrictions on the domain and range on this type of function
F(x) = x^2 + 8x^3 + k
End behavior: As x approaches positive or negative infinity, F(x) approaches positive infinity.
Maximum/minimum: There is no global maximum or minimum without more information about k.
x-intercepts: There are no x-intercepts for this function.
Restrictions on domain and range: No restrictions specified.
What are the responses for other questions?F(x) = x^6 + kx^4 - 9x^2 - 27
End behavior: As x approaches positive or negative infinity, F(x) approaches positive infinity.
Maximum/minimum: There is no global maximum or minimum without more information about k.
x-intercepts: There are no x-intercepts for this function.
Restrictions on domain and range: No restrictions specified.
f(x) = -1/2x^7 - 441x^3 + k
End behavior: As x approaches positive or negative infinity, f(x) approaches negative infinity.
Maximum/minimum: There is no global maximum or minimum without more information about k.
x-intercepts: There are no x-intercepts for this function.
Restrictions on domain and range: No restrictions specified.
The number of turns and the maximum and minimum number of x-intercepts for this type of function can't be determined without a graph.
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Select the correct answer.
Why is investing in a mutual fund less risky than investing in a particular company’s stock?
A.
Mutual funds only invest in blue-chip stocks.
B.
Investments in mutual funds are more liquid.
C.
Mutual funds hold a diversified portfolio of stocks.
D.
Investments in mutual funds offer a higher rate of return.
Answer:
I believe it's C. I hope that helps you
in the summer of 1994, renate received a letter stating she was one of 110,000 finalists chosen. once the finalists were chosen, assuming that each finalist had an equal chance to win, what was renate's chance of winning a green card? let f
The required probability is P(G|F) = 0.5.
Renate's chance of winning a Green Card, given that she was a finalist, can be calculated as follows:
P(G|F) = P(G and F) / P(F)
Where P(G and F) is the probability of both Renate winning a Green Card and Renate being a finalist, and P(F) is the probability of Renate being a finalist.
Since Renate was one of 110,000 finalists, P(F) = 110,000 / 6.5 million = 0.016923076923076924
Out of the 110,000 finalists, 55,000 won a Green Card, so P(G and F) = 55,000 / 6.5 million = 0.008461538461538462
Therefore, Renate's chance of winning a Green Card, given that she was a finalist, can be calculated as follows:
P(G|F) = P(G and F) / P(F) = 0.008461538461538462 / 0.016923076923076924 = 0.5
Thus, Renate had a 5% chance of winning a Green Card, given that she was a finalist.
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--The given question is incomplete; the complete question is
"In 1994, the U.S. government held a lottery to issue 55,000 Green Cards (permits for non-citizens to work legally in the U.S.). Renate Deutsch, from Germany, was one of approximately 6.5 million people who entered this lottery. Let G = won Green Card.
In the summer of 1994, Renate received a letter stating she was one of 110,000 finalists chosen. Once the finalists were chosen, assuming that each finalist had an equal chance to win, what was Renate's chance of winning a Green Card? Let F = was a finalist. Write your answer as a conditional probability statement. (Round your answer to four decimal places.)"--
Sherina wrote and solved the equation.
x minus 56 = 230. x minus 56 minus 56 = 230 minus 56. x = 174.
What was Sherina’s error?
Sherina’s work is correct.
Sherina only needed to subtract 56 from 230.
Sherina made a subtraction error when subtracting 56 from 230.
Sherina should have added 56 to both sides of the equation.
Sherina should have added 56 to both sides of the equation.
How to solve an algebraic expression?An algebraic expression is an expression that is made up of variables and constants, along with algebraic operations like addition, subtraction, square root, etc.
Sherina wrote and solved the equation, x minus 56 = 230 and obtained x = 174:
Sherina’s error is that she should have added 56 to both sides of the equation.
To solve for x in the equation, you need to add 56 to both sides of the equation. That is:
x - 56 = 230
x -56 + 56 = 230 + 56
x = 230 + 56
x = 286
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Answer:
The answer is D (Sherina Should of have added 56 to both sides of the equation.)
Step-by-step explanation:
In this type of math, subtraction and addition are switched. I know that may be confusing.
Example:
x minus 42 - 88
You can do this: 42 + 88 = 130
Your answer = x
x = 130
The number of pick up trucks y built on an assembly line at a factory is represented by the equation
Based on how many pickup trucks are built each week and how long the plant operates each day, one truck is built per hour.
How does a linear equation work?A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables." from Wolfram Math World: linear.
How can I determine the number of assembled trucks?If the automaker facility operates for five days out of the week and 60 trucks are produced each week, then the number of trucks assembled per day is:
= 60 / 5
= daily 12 trucks
The number of trucks assembled every hour at the automaker's plant, which runs for 12 hours in a half-day, is:
= 12 trucks each day/worked hours
= 12 / 12
= One truck every hour
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The complete question is: The number of pick up trucks y built on an assembly line at a factory is represented by the equation y = [tex]\frac{x}{22}[/tex], where x is the time in hours.
1. Which type of vehicle is built at a faster rate?
2. How long does it take to built one of each type of vehicle?
3. Graph the equations that represent pickup trucks. Compare the steepness of the two graphs.
how many gallons of a 16%-salt solution must be mixed with 4 gallons of a 25%-salt solution to obtain a 20%-salt solution?
The gallons of 16%salt solution required to obtained 20% of salt solution is equal to 5 gallons.
Let us consider 'x' be the salt solution of 16%
And 'y' be the salt solution with 25%
Total gallons of salt used is equal to 4 gallons
Required salt solution = 20%
Equation formed as per given information :
16% of x + 25% of 4 = 20% of ( 4 + x )
⇒ ( 16 / 100 ) × x + ( 25 / 100 ) × 4 = ( 20 / 100 ) × ( 4 + x )
⇒ 0.16x + 1 = 0.8 + 0.20x
⇒ 0.20x - 0.16x = 1 - 0.8
⇒ 0.04x = 0.2
⇒ x = 0.2 / 0.04
⇒ x = 20 / 4
⇒ x = 5 gallons
Therefore, 5 gallons of salt solution is required to obtained 20% of salt solution.
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help me please 15 points
The simplified value of the expression is 45.
What is simplification?To simplify simply means to make anything easier. In mathematics, simplifying an equation, fraction, or problem means taking it and making it simpler. Calculations and problem-solving techniques simplify the issue. By eliminating all common factors from the numerator and denominator and putting the fraction in its simplest/lowest form, we can simplify fractions.
Given expression,
8 x 3 ÷ (4² - 13) + 5² + 4 x 3
using PEMDAS to solve the expression,
Parentheses, Exponents, Multiplication, Division (from left to right), and Addition and Subtraction (from left to right).
step 1: Parentheses, (4² - 13)
(16 - 13) = 3
step 2: Exponents 5²
5² = 25,
step 3: Multiplication, 8 x 3 and 4 x 3
24 and 12
substitute the values,
8 x 3 ÷ (4² - 13) + 5² + 4 x 3
24 ÷ 3 + 25 + 12
step 4: Division,
24 ÷ 3 = 8
step 5: addition, 8 + 25 + 12
45
so 8 x 3 ÷ (4² - 13) + 5² + 4 x 3 = 45.
Hence the value of the expression is 45.
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Find the number of possible outcomes in the sample space.
A basketball player attempts two free
throws. Each attempt results in a score or
a miss.
A. 7
B. 5
C. 4
D. 8
The number of possible outcome is 4 ( option C)
What is probability?Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty.
Probability = Sample space / total possible outcome
In 2 free throws of either missing or scoring.
Represent missing by M and scoring by S
The outcome of the two throws can be:
MS , SM, SS, MM
Therefore the total possible in outcome is 4
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Picture shown below!
Answer:
B. ⊄
Step-by-step explanation:
There is no Tuesday in the set to the right, so the set to the left is not a subset of the set to the right.
Answer: B. ⊄
the amount of concrete needed for the support posts of a deck y varies directly with the number of posts x. five posts require 6 1/4 bags of concrete. write a direct variation equation in the form y
The direct variation equation that relate the amount of concrete needed and the number of posts is y = 5/4x
What is an equation?An equation is the equality between two algebraic expressions, which have at least one unknown or variable.
To solve this problem, we have to state the equation using the information of the problem:
Information about the problem:
Number of post = 5Number of bags = 6 1/4Calculating the number of concrete according to the number of posts we have:
6 1/4
= [(4*6)+1] / 4
= (24 + 1) / 4
= 25/4
Number of concrete per post = 25/4 bags / 5 post
Number of concrete per post = 5/4 bags / post
Writing the equation according to the information gave, we have:
y = 5/4x
Lets called (y) the amount of concrete needed and (x) the number of posts
The "y" variable is the dependent variable, it will change according to the number of posts x (x).
The "x" variable is the independent variable, because it doesn't depend on any other value, just the the number of posts.
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Ted places $1500 in a ten-year certificate of deposit (CD) account at a local bank. The CD account earns interest, compounded annually, at the same rate for 10 years.
Let A(n) represent the amount, in dollars, in Ted's account after n years between n = 0 to n = 10.
Part A:
Write an explicit expression for the function A(n) if Ted's account has $1535.25 after 1 year
Answer:
A(n) = 1500 * (1 + 0.0367)^n
Step-by-step explanation:
Given that Ted's account has $1535.25 after 1 year, we can use that value to write an explicit expression for the function A(n).
The amount in the account after n years is given by the formula:
A(n) = A(0) * (1 + r)^n
where A(0) is the initial amount in the account and r is the interest rate.
Since A(1) = $1535.25 and A(0) = $1500, we can substitute these values into the formula:
1535.25 = 1500 * (1 + r)^1
Solving for r:
r = (1535.25/1500) - 1 = 0.0367
So, the interest rate is 3.67% and the explicit expression for the function A(n) is:
A(n) = 1500 * (1 + 0.0367)^n
please help!!
the rubric says to
state what type of function f(x) is and how it’s identified
state what type of function g(x) is and how you identified it
list common key features
f(x) is a linear function because it has a constant slope of -4 and a y-intercept of 5.
g(x) is a polynomial function of degree 3 because the highest power of x is 3.
Both f(x) and g(x) are continuous functions and defined for all real values of x. They also have the same y-intercept of 5.
What is a linear function?The graph of a linear function is a straight line. The following is the form of a linear function. a + bx = y = f(x). One independent variable and one dependent variable make up a linear function. X and Y are the independent and dependent variables, respectively.
As the name implies, a continuous function is one whose graph is continuous throughout without any pauses or leaps. To put it another way, we say that a function is continuous if we can draw the curve (graph) of the function without ever picking up the pencil.
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Over the past 6 1/2 hours, it rained 7/8 of an inch. What was the average amount of rainfall per hour?
Therefore , the solution of the given problem of fraction comes out to be 0.25 inches per hour average rainfall per hour.
What is a fraction?To represent a whole, any number of equal sums or decimals can be utilized. The quantity of a particular size is expression as a fraction in standard English. 8, 3/4. Fractions are included in wholes. In mathematics, the fraction to numerator ratio is used to represent numbers. All of these fractions of integers are simple fractions. A challenging fraction has a percent in the denominator. because actual fractions have different calculations, numerators, and numerators.
Here,
Given :
=> 6 1/2 hours or 13/2 hours
=> 6.5 hours
7/8 pf an inches.
So,
the average rainfall per hour is :
=> 7/8 / 3.5
=> 0.25 inches per hour
Therefore , the solution of the given problem of fraction comes out to be 0.25 inches per hour average rainfall per hour.
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What is the height of a triangle of area 67.2 cm² and the corresponding base 16cm?
Answer: hb=8.4cm
Step-by-step explanation:
Using the formula
A=hbb
2
Solving forhb
hb=2A
b=2·67.2
16=8.4cm
3. (05.03 lc) wait times at an orthodontist's office are typically 17 minutes, with a standard deviation of 2 minutes. what percentage of people should be seen by the doctor between 11 and 23 minutes for this to be considered a normal distribution? (3 points) 17% 68% 95% 99.7%
The percentage of people should be seen by doctor between 11 and 23 min is = 99.7%
The wait time at a doctor office is 17 minutes with a deviation of 2 min
we want to find the percentage of people seen by the doctor between 1 to 23 min
to find this we will find z score
as per rule the z score is = (x -u)/[tex]\alpha[/tex]x is the scoreu is the mean[tex]\alpha[/tex] is the standard deviationthe mean is 17 min and deviation is 2
the people should be seen by the doctor =
x = 11 and 23
z = 11-17/2 = -3
z= 23-17/2 = 6
lets use the standard normal distribution and you will find the answer.
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You buy 10 vegetarian pizzas and pay with $100. How much change do you receive?
A picture shows three vegetarian pizzas. The cost of the three vegetarian pizzas is 25 dollars and 50 cents.
You receive $
in change.
There are $15 received in change after buy 10 vegetarian pizzas.
What is mean by Subtraction?Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.
We have to given that;
You buy 10 vegetarian pizzas and pay with $100.
Here, The cost of the three vegetarian pizzas is 25 dollars and 50 cents.
Hence, The cost of the three vegetarian pizzas = $25.5
Thus, The cost of the 10 vegetarian pizzas = $25.5 × 10 / 3
= $255/3
= $85
Since, You buy 10 vegetarian pizzas and pay with $100.
Hence, The change to receive = $100 - $85
= $15
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This is a test to see how reliable the source is. (AKA if the answer is correct and how long it takes)
7x+9-2x+8^2-41>2
x>-6 there u go
Step-by-step explanation:
what is negative 15 divided by negative 1/3?
Answer:45
Step-by-step explanation: Search math w ay on the internet for clarification and any further math questions :)
Answer: 45
Step-by-step explanation:
1. Convert any mixed numbers to fractions then you'll have: [tex]\frac{-15}{1}[/tex] ÷ [tex]\frac{-1}{3}[/tex]
2. Then you multiply the numbers across from each other. (both numerators and denominators)
So, it would then be [tex]\frac{-45}{1-}[/tex]
(remember, when multiplying or dividing negatives and positives, a negative to a positive (vice versa) will always come out to be a negative, and a positive to a positive or negative to a negative, it'll always be a positive)
3. Simplify [tex]\frac{-45}{-1}[/tex], this means you divide -45 into -1, remember from the bolded phrase, this means it'd be a positive 45
So your answer is POSITIVE 45
P.S. I'd recommend checking out the "Mixed Fractions Calculator" on Calculator Soup. I'll provide a link below if you need any other help with further questions in the future.
https://www.calculatorsoup.com/calculators/math/mixednumbers.php
Hope this helps.
Can someone PLEASE help me with this?
The factorization of 3x² - 6x - 24 will be (x + 8)(x - 10).
How to express the valueThe equation is a polynomial with leading coefficient 3, the equations os in standard form, where the leading coefficient is positive and the terms are ordered from highest degree to lowest degree.
To solve thw equation goes thus:
3x² - 6x - 24
Divide through by 3
x² - 2x - 80
x² - 10x + 8x - 80
x(x - 10) + 8(x - 10)
(x + 8)(x - 10)
The value will be (x + 8)(x - 10).
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4x+10>54
simplify
thank you
Answer:
x<11
Step-by-step explanation:
4x>54-10
4x>44
x<11 [sign change]
Answer:
x > 11
Step-by-step explanation:
4x + 10 > 54
Step 1: Subtract 10 from both sides.
4x + 10 - 10 > 54 - 10
4x > 44
Step 2: Divide both sides by 4.
4x/4 > 44/4
x > 11
The image of a trapezoid is shown.
An isosceles trapezoid with a short base of 3 meters and a height of 5.8 meters. The portion of the large base from the left vertex to the perpendicular is 4 meters. The portion of the large base from the right vertex to the perpendicular is 7 meters.
What is the area of the trapezoid?
17.4 m2
20.3 m2
40.6 m2
69.6 m2
The area of the given Trapezoid is calculated as; 42.5 m².
How to find the area of a Trapezoid?A trapezoid is defined as a quadrilateral with four sides where two sides are parallel to each other.
The parameters of the trapezoid are;
Short base length = 3 m
Height = 5 m
Large base length = 4 + 3 + 7 = 14 m
Thus;
Area of a trapezoid = 1/2 * (Short base + Large base) * h
Area = 1/2 * (3 + 14) * 5
= 1/2 * 17 * 5
= 42.5 m²
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Which of the following is a rational number?
√√12
√47
√22
√9
Answer:
√9
Step-by-step explanation:
First, it's important to know that a rational number is a number that can be expressed as a fraction. This means that all whole numbers are rational numbers. Knowing this, let's see if any of the radicals simplify into a fraction or whole number.
√12 = 3.464101615.....
NOT a rational number
√47 = 6.8556546.....
NOT a rational number
√22 = 4.69041576.....
NOT a rational number
√9 = 3
Rational number
So, √9 is a rational number.
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Use either the Law of Sines or the Law of Cosines. In ΔDEF, m∠E = 54°, d =
14 in., and f = 20 in. Find e.
A. 16.3 in.
B. 14.2 in.
C. 21.8 in.
D. 24.2 in.
The measure of side e is, 16.3 inches.
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
We have to given that;
In ΔDEF, m ∠E = 54°, d = 14 in., and f = 20 in.
Now, We know that;
⇒ cos E = (d² + f² - e²) / 2df
Substitute all the values, we get;
⇒ cos 54° = (14² + 20² - e²) / 2×14×20
⇒ 0.59 = (196 + 400 - e²) / 560
⇒ 0.59 × 560 = 596 - e²
⇒ 330.4 = 596 - e²
⇒ e² = 596 - 330.4
⇒ e² = 265.6
⇒ e = √265.6
⇒ e = 16.3 inches
Thus, The measure of side e is, 16.3 inches.
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333b7jk,,,,,,,7h79p;'/'][
Answer:
Step-by-step explanation: nmbgbhj ,vmxhvgvkhchvc vhkyfdcxvgch cggcfglfflfvhghghjb
fin the value of each variable in the parallelogram. k+4, 8, m, 11
k=
m=
The values of each variable in the parallelogram are given as follows:
k = 7.m = 8.How to obtain the values of each variable?For a parallelogram, the two sides that are divided by the intersection point of the diagonal have the same length, hence the relations are given as follows:
k + 4 = 11.m = 8.The second bullet point already gives the value of m, which is of m = 8.
For the first bullet point, we must solve it to obtain the value of variable k, as follows:
k + 4 = 11
k = 11 - 4
k = 7.
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The student council has been asked to conduct a survey of the student body to determine the students* lunch preferences. They have determined two ways to do the survey. Which survey option should the student council use?
Sample 1: Write all of the students' names on cards and pull them out in a drawing to determine who will complete the survey.
About surveySurveys can serve many purposes, and researchers can do so in many ways. Survey is a research method used to obtain information and insights on various topics of interest.
Surveys are a method that can provide a source of data and insights. Common types of surveys are written questionnaires, face-to-face or telephone interviews, focus groups, and electronic surveys. Surveys are the basis for gathering information on a large scale.
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