The missing statement and reason to complete the given proof of parallelogram is Option A.
What is a parallelogram?
A parallelogram is a geometric object with sides that are parallel to one another in two dimensions. It is a form of a polygon with four sides (sometimes known as a quadrilateral) in which each parallel pair of sides have the same length. A parallelogram has adjacent angles that add up to 180 degrees.
Given, NL is a diagonal of parallelogram KLMN
Since KL || NM and LN is transversal
That implies, ∠KLN ≅∠MNL by alternate interior angles theorem
Again, KN || LM and NL is transversal
That implies, ∠LNK ≅ ∠NLM by alternate interior angles theorem
Hence, Option A is the correct answer.
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Answer:
B.
∠KLN ≅ ∠MLN, and ∠KNL ≅ ∠MNL
by the alternate interior angles theorem
Step-by-step explanation:
Four times a number is 45 less than the square of that number. Find the negative solution
Answer: x<-9
Step-by-step explanation:
4x-45<[tex]x^{2}[/tex]
x^2+4x-45<0
factor
(x+9)(x-5)<0
x<-9,x<5
the negative solution is x<-9
PLEASEHELP 50 POINTS ALGEBRA 2
4x+7=4x+__ no solution
Answer:
7
Step-by-step explanation:
4x+7=4x+7
-4x-7=-4x-7
The temperature on a cold winter day in Minnesota was - 6゚ F. Which following situations could explain how the temperature became - 6゚F?
A) in the morning the temperature was -2゚then the temperature fell 4゚
B) the temperature was 12゚ this temperature fell by 6 ゚as it got dark out
C) the temperature decreased by 4゚ from a high of 2゚earlier in the day
D) at 9 a.m the temperature was - 11゚ by noon the temperature had dropped 5゚
The temperature on a cold winter day in Minnesota was - 6゚ F. the temperature decreased by 4゚ from a high of 2゚ earlier in the day situations could explain how the temperature became - 6゚F.
A physical number known as temperature expresses the concepts of hotness and coolness in numerical form. With a thermometer, temperature is measured. Thermometers are calibrated using a number of temperature scales that have defined distinct reference points and thermometric substances. The most widely used scales are the Kelvin scale (K), which is mostly used for scientific reasons, the Fahrenheit scale (°F), and the Celsius scale (°C), formerly known as centigrade, with the unit symbol °C. In the International System of Units, one of the seven base units is the kelvin (SI).The temperature was -6゚ F. This means that the temperature must have decreased from a higher temperature to reach - 6゚F. This can be explained by option C, the temperature decreased by 4゚ from a high of 2゚ earlier in the day.
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Buying rental property is an investment option that carries a higher risk than some other options. However, the returns can be good. Assume you have purchased a single-family home that you intend to rent for $850 per month. You will have the following expenses:
The annual return of the investment is 31.1%.
Given that, person has purchased a single-family home that you intend to rent for $850 per month.
What is the return?A return, also known as a financial return, in its simplest terms, is the money made or lost on an investment over some period of time.
First find the amount earned per year:
= 850 x 12
= $10,200
The yearly expenses would be:
= (390 x 12) + (60 x 12) + (340 x 2) + 500 + (100 x 12)
= 4,680 + 720 + 680 + 500 + 1,200
= $7,780
The annual ROI is:
= (10,200 - 7,780) / 10,200 x 100%
= 31.1%
Therefore, the annual return of the investment is 31.1%.
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"Your question is incomplete, probably the complete question/missing part is:"
Buying rental property is an investment option that carries a higher risk than some other options. However, the returns can be good. Assume you have purchased a single-
family home that you intend to rent for $850 per month. You will have the following expenses:
Monthly mortgage $390
Monthly insurance $60
Semiannual property taxes $340
Repairs (yearly estimate) $500
Monthly lawn care or snow removal $100
The return on investment for the property is
% (Round to one decimal place.)
someone that knows about centers of triangles
Answer:It was not until the eighteenth century that mathematician Leonard Euler (1707-1783) discovered a relationship between the three classical triangle centers.
Step-by-step explanation:
Write an equation of the line that passes through (6,4) and is parallel to the line 3y-x=-12
The parallel line has an equation of y = 1/3x + 2
How to determine the line equation?The equation is given as
3y-x=-12
Make y the subject in the equation
So, we have
y = x/3 - 4
The equation of a line can be represented as
y = mx + c
Where
slope = m
By comparing the equations, we have:
m = 1/3
The slopes of parallel lines are equal
This means that the slope of the other line is 1/3
i.e. m = 1/3
Recall that:
The equation of a line can be represented as
y = mx + c
Where
slope = m = 1/3
Also, we have
(x, y) = (6, 4)
So, we have
4 = 1/3 * 6 + c
This gives
c = 4 - 2
Evaluate
c = 2
So, we have
y = 1/3x + 2
Hence, the equation of the parallel line is y = 1/3x + 2
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HOW THE HECK AM I SUPPOSED TO USE X AND Y ON A COORDINATE GRID THAT HAS THE PROPORTIONS OF M=24R
Answer:
To use coordinates on a coordinate grid, you first need to determine the scale of the grid, which is represented by the proportion M=24R. This means that for every 24 units on the grid, the corresponding real-world distance is equal to R units.
Once you have determined the scale of the grid, you can use the coordinates to locate points on the grid. To do this, you will need to know the coordinates of at least one point on the grid, which is known as the origin. The origin is typically represented by the coordinates (0,0).
To find the coordinates of a point on the grid, you can use the following steps:
Locate the point on the grid that you want to find the coordinates for.Measure the distance from the point to the origin, using the grid scale as a guide. This distance is the point's x-coordinate.Measure the distance from the point to the y-axis, using the grid scale as a guide. This distance is the point's y-coordinate.The coordinates of the point will be a pair of numbers in the form (x, y), where x is the point's x-coordinate and y is the point's y-coordinate.
For example, if you wanted to find the coordinates of a point that is 5 units to the right of the origin and 3 units above the y-axis, the coordinates of the point would be (5, 3).
a pizza parlor offers a choice of 1010 different toppings. how many different 33-topping pizzas are there?
The permutation combination is 120 for 3 different topping pizzas are available.
Permutation Combination:
A variety of ways to select objects from a set, usually forming a subset without replacement. The selection of this subset is called a permutation if the order of selection is a factor, and a combination if the order is not a factor. The French mathematicians Blaise Pascal and Pierre de Fermat, in the 17th century, used many chances in his game of combinatorics and probability by considering the ratio of the number of required subsets to the number of all possible subsets stimulated the development of the theory.
The concepts of permutations and combinations and their differences can be illustrated by examining all the different ways of selecting pairs of objects from five identifiable objects such as the letters A, B, C, D and E.
According to the Question:
Given that :
Number of different toppings = 10
Number of Pizzas = 03
therefore,
The permutation combination are :
= 10!/7! 3!
= 15 × 8
= 120.
Therefore, there are 120 different combinations of toppings.
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a box has 20 chocolate bars with the same ratio as shown above how many dark chocolate bare is in the box
A:3
B:6
C:5
D:4
Answer:
5
Step-by-step explanation:
(20/12)(3)=5
Please help!!!!
In the figure, ∆BAT ≅ ∆CAT. Which statement is not true by CPCTC?
∠BCA ≅ ∠BCT
∠ABT ≅ ∠ACT
TB ≅ TC
TA ≅ AT
Based on the CPCTC, the statement that is not true is: A. ∠BCA ≅ ∠BCT.
What is the CPCTC?CPCTC stands for "corresponding parts of congruent triangles are congruent". This simply means that if two triangles are congruent to each other, every of its corresponding angles and corresponding sides are equal or congruent to each other.
In the image given, we are told that ∆BAT ≅ ∆CAT. Thus, this implies that all the corresponding angles are congruent to each other, so also are all their corresponding sides.
Therefore:
∠ABT ≅ ∠ACT∠ATB ≅ ∠ATC∠TAB ≅ ∠TACTA ≅ ATAB ≅ ACBT ≅ CTTherefore, the statement that is not true is:
A. ∠BCA ≅ ∠BCT
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Describe the end behavior of the function
Answer:
The end behavior of a function f describes the behavior of the graph of the function at the "ends" of the x-axis. In other words, the end behavior of a function describes the trend of the graph if we look to the right end of the x-axis (as x approaches +∞ ) and to the left end of the x-axis (as x approaches −∞ ).
Step-by-step explanation:
umm....I really hope this helps u
What is the speed of 150 km in five hours?
The speed of 150 kilometres in five hours is 30 kilometres per hour.
The speed is calculated by the formula -
Speed = total distance covered ÷ total time taken
The distance covered is 150 kilometres and time taken is five hours.
Keep the values in formula to find the speed -
Speed = 150/5
Performing division on Right Hand Side of the equation to find the speed
Speed = 30 kilometres per hour
Hence, the speed of mentioned data covering the distance 150 kilometres in time duration of five hours is 30 kilometres per hour.
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diseases tend to spread according to the exponential growth model. in the early days of aids, the growth factor (i.e. common ratio; growth multiplier) was around 2.1. in 1983, about 1700 people in the u.s. died of aids. if the trend had continued unchecked, how many people would have died from aids in 2006? people
Approximately 1700 Americans died of AIDS in 1983. In 2006, 14,260,633,600 individuals would have perished from AIDS if the trend had remained unchecked.
When a population's per capita growth rate remains constant, regardless of population size, exponential growth occurs, causing the population to grow exponentially as the population increases.
When people in a population reproduce at a certain pace, exponential growth results. After a time of exponential expansion, a population's growth slows or pauses, which is known as logistic growth.
Exponential growth model Growth factor = 2
model y = a(2)^t
a = initial
y = final
Let 1983 as t=0
y = 1700 × (2)^t
In 2006
t = 2006 - 1983
= 23
y = 1700 × (2)^23
= 1700 × (8388608)
= 14,260,633,600 people would have died
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Find the dimensions of a rectangle (in m) with perimeter 92 m whose area is as large as possible.
The dimension of a rectangle is 23m and 23m.
Here we have to find the area of a rectangle as large as possible.
Data given:
Perimeter = 92m
The formula for the perimeter of the rectangle:
perimeter = 2(length + breadth)
92 = 2( l + b)
l + b = 46
We have to find the largest area, so when we will take the length and breadth same then we get the largest area.
So length = breadth
2 length = 46
length = 23m
length = breadth = 23m
Therefore the dimensions are 23m and 23m.
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express the given function in terms of the unit step function and find the laplace transform. f ( t )
The Laplace transformation is:
[tex]L [f(t)] = \frac{5 - 8e^{-7s} }{2}[/tex]
Rewriting the f in terms of the unit step function:
[tex]\left \{ {{y=5} for 0\leq t\leq 7 \atop {x=-3}for t\geq 7} \right.[/tex]
⇒ f(t) = 5[u(t) - u (t-7)] - 3u(t -7 )
= 5u(t) - 8u (t-7)
Unit Step Function:
The unit step function, also known as the Heaviside function, is known in engineering applications as a function that can describe the switching process mathematically. We often encounter functions whose values change rapidly over a certain time unit t.
where,
u(t) = [tex]\left \{ {{y=1 for t\geq 0} \atop {x=0 for t < 0}} \right.[/tex]
Recall the time-shifting property of the Laplace transform:
L{u(t - c) f( t - c)}
= [tex]e^{-es} L{f(t)}[/tex]
Laplace Transformation:
In mathematics, the Laplace transform, named after its discoverer Pierre-Simon Laplace, is an integral transform that transforms a function of real variables (usually t in the time domain) into a function is. Complex variable (complex frequency domain, also called s-domain or s-plane). As transformations are tools for solving differential equations, they have many applications in science and engineering. In particular, it converts ordinary differential equations to algebraic equations and converts convolutions to multiplications.
and the Laplace transform of a constant function,
L[k] = k/s
So we have
L[f(t)] = L[5u(t) - 8u (t-7)]
= [tex]5[L_{1} ] - 8e^{-7s} L[1][/tex]
Therefore,
[tex]L [f(t)] = \frac{5 - 8e^{-7s} }{2}[/tex]
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How do you write an area?
To write an area, you need to know the shape and the measurements of the sides.
For example, if you have a square, you can calculate its area with the formula A = s², where A is the area and s is the length of a side.
If the side is 10 cm, then the area would be written as A = 10² = 100 cm².
1. Identify the shape of the area you are trying to calculate.
2. Calculate the measurements of the sides.
3. Use the appropriate formula to calculate the area. For example, for a square, use the formula A = s², where A is the area and s is the length of a side.
4. Plug in the measurements and calculate the area.
5. Write the area using the correct unit of measurement. For example, if the side was 10 cm, the area would be written as A = 10² = 100 cm².
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–5(–3 + 5x) = simplify
Answer: -25x + 15
Step-by-step explanation:
Because you asked
Answer:
To simplify the expression, we can use the rules of order of operations, which dictate that we should perform operations in the following order:
Perform any calculations inside parentheses or other grouping symbols, working from the innermost set of parentheses to the outermost.
Perform any exponents or radicals.
Perform all multiplications and divisions, working from left to right.
Perform all additions and subtractions, working from left to right.
Applying these rules to the expression -5(-3 + 5x), we get:
Perform any calculations inside parentheses or other grouping symbols, working from the innermost set of parentheses to the outermost:
$-5(-3 + 5x)$
$-5(-3) + -5(5x)$
$15 + -5(5x)$
Perform any exponents or radicals:
$15 + -5(5x)$
Perform all multiplications and divisions, working from left to right:
$15 + -5(5x)$
$15 + -25x$
Perform all additions and subtractions, working from left to right:
$15 + -25x$
Therefore, the simplified expression is 15 + -25x.
Step-by-step explanation:
The sum of the measures
of the three angles of a
triangle is 180°. Find the
measure of the angle
labeled x.
2x-1°
x
X+5°
Answer:
x = 44°
Step-by-step explanation:
The sum of the three angles is 180°.
So, x + x + 5 + 2x -1 = 180
4x + 4 = 180
4x = 176
x = 44°
Factor 40z+50.
Write your answer as a product with a whole number greater than 1
Answer: 10(4z+5)
Step-by-step explanation:
Find the Greatest common factor, which is 10
10(4z+5)
Slope is 1/4 and the y-intercept is 3
Answer:
y=14x−3 .
Step-by-step explanation:
We know that the equation of a line is y=mx+b with m being the slope and b being the y-intercept. We can plug in your slope ( 14 ) and your y-intercept ( −3 ). This simplifies to y=14x−3 .
Find the volume of a right circular cone that has a height of 6.7 in and a base with a diameter of 8.8 in. Round your answer to the nearest tenth of a cubic inch.
The required volume of the right circular cone is 135.83409in³.
What is the right circular cone?A right circular cone is one whose axis is the line between the vertex and the circular base's midway.
In other words, a right angle is formed when the center point of the circular base and the cone's peak are united.
So, the right circular cone volume formula:
V=1/3hπr²
Diameter = 8.8 in
Radius = 8.8/2 = 4.4 in
Now, calculate the volume as follows:
V = 1/3hπr²
V = 1/3(6.7)π(4.4)²
V = 135.83409 in³
Therefore, the required volume of the right circular cone is 135.83409in³.
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given list: { 8 9 33 44 57 60 62 64 73 74 77 86 } which list elements will be checked to find the value:
The value of the given elements are: 0.829.
Given:
The given numbers are: 8,9,33,44,57,60,62,64,73,74,77,86
Here, the largest Number is 86 = Xₐ
and the smallest number is 8 = Xₙ
Now,
Range = Xₐ -Xₙ
= 86 - 8
= 78
Therefore,
Coefficient of Range = Xₐ - Xₙ / Xₐ +Xₙ
= 86 - 8 / 86 +8
= 78 / 94
= 0.829
Therefore, the value is 0.829.
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A company manufactures and sells cell phone cases. The revenue obtained by selling a cases is given by the
formula
R = 2.8x -0.01x²
Solve the equation below to find the number of cell phone cases they must sell to receive $192 in revenue.
192 = 2.8x 0.01x²
They need to sell__ or __ cases to make $192 in revenue.
Answer:
Step-by-step explanation:
hi yall funny
Given the functions:
f(x) =83 + 8x
8 (x) = V2x
h (x) =7x-9
Evaluate the function h f(x)) for x = 3. Write your answer in exact simplified form. Select "Undefined" if applicable.
The value of the function h(f(x)) for x = 3 is h(f(3)) = 348.
What is a function?
In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.
The given function is
[tex]f(x)=x^3+8x\\\\g(x)=\sqrt{2x}\\\\h(x)=7x-9[/tex]
Now we have to find the value of the function h(f(x)),
[tex]h(f(x))=7(f(x)) - 9\\\\h(f(x))=7(x^3+8x)-9\\\\h(f(x))=7x^3+56x-9\\\\$at x = 3, $\\\\h(f(3))=7(3)^3+56(3)-9\\\\h(f(3))=7*27+168-9\\\\h(f(3)) = 348[/tex]
Hence, the value of the function h(f(x)) for x = 3 is h(f(3)) = 348.
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suppose that a is a 4 x 4 matrix with eigenvalues 1, 2, 3, and 4. is the matrix a - 2i invertible? why or why not?
Yes. The matrix A-2I is invertible because 2 is an eigenvalue for matrix A.
When the matrix (transformation) is applied to some vectors (eigenvectors), the eigenvalues of the matrix are scalars. In other words, if A is a square matrix of order n x n and v is a non-zero column vector of order n x 1, and Av = v (the product of A and v is just a scalar multiple of v), then the scalar (real number) is called an eigenvalue of the matrix A that corresponds to the eigenvector v.
The eigenvalues can be determined by formula,
[tex]|A-\lambda I|=0[/tex]
Where, [tex]\lambda[/tex] = eigenvalues.A square matrix with an inverse is known as an invertible matrix. A square matrix is said to be invertible if and only if the determinant is not equal to zero. In other words, a 2 x 2 matrix is only invertible if its determinant is not zero.
Given,
A is a 4x4 matrix whose eigen values are λ=1,2,3,4
we need to determine that A-2I is invertible or not.
We know that 2 is an eigen value of matrix A, so, if we substitute 2 to find determinant of A-2I, then we will get zero as answer.
So, when determinant of A-2I is zero then the matrix is invertible.
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What will happen to the original shape if the scale factor is a less than 1 b greater than 1 C equal to 1?
Original shape will contract when scale factor is less than 1 , expand when scale factor is greater than 1 and it doesn't change when scale factor is 1
A scale factor is a number that can be used to change the size of any geometrical figure or shape in relation to its original size. It is the ratio of the sizes of the original and dilated figures.
It is denoted by "k"
The magnitude of the scale factor is taken into account, and it cannot be zero. The scale factor has the ability to either increase or decrease the size of an object.
The basic formula for calculating the scale factor of a dilated figure is as follows:
Scale = dimension of preimage / dimension of image
According to the question,
(a) If scale factor is less than 1 , k < 1 then the original shape will contract means It's size will decrease
(b) If scale factor is greater than 1 , then image will enlarge and it would expand
(c) If scale factor is equal to 1 , then No change in shape nor in size
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Magdalena left out a statement from the proof shown. Which statement is best explained by the alternate exterior angles theorem?
The option which says Angle 2 and Angle 3 are Supplementary is the best statment that describes the Alternate Exterior Angle Theorem.
What is an Exterior Angle?
An Exterior Angle is the angle formed by a polygon's side and an extended neighbouring side; an angle generated by a transversal as it cuts one of two lines and located on the line's outside.
Solution:
Using the Alternate Exterior Angle Property we can say
Adjecent Angle of Angle 2 and Angle 3 are equal
Also, Angle 2 + Adjecent Angle of Angle 2 = 180
So, we can write Angle 2 + Angle 3 = 180
The option which says Angle 2 and Angle 3 are Supplementary is the best statment that describes the Alternate Exterior Angle Theorem.
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Rin says you can solve for the y-intercept using the slope, one ordered pair, and the slope-intercept equation. Is she correct? Explain.
Yes, you can solve for the y-intercept using the slope, one ordered pair, and the slope-intercept equation.
What is an equation of the line?An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
The general form of the equation of the line:-
y = mx + c
m = slope
c = y-intercept
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Here Rin says that you can solve for the y-intercept using the slope, one ordered pair, and the slope-intercept equation.
The statement is right because for the calculation of the y-intercept we need one point to pass through the line and the slope of the line.
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Determine the effective tax rate for a taxable income of $75,400. round the final answer to the nearest hundredth.
A. 10.05%
B. 16.27%
C. 22.00%
D. 24.90%
The percentage of income that a person or corporation must pay or withhold as taxes is known as the effective tax rate. The effective tax rate is 10.15%. Here option A is the correct answer.
The term effective tax rate refers to the average tax rate that an individual pays on both earned and unearned income, such as stock dividends. According to the progressive tax model, when income rises, the tax rate also rises, putting persons in a higher tax bracket.
Here, the presented data shows that the marginal tax rate is 22% for taxable income in the $40,526 to $86,375 income range.
Effective tax rate = total taxes owed/taxable income × 100.
Effective tax rate = $6,847.50/$67,400 × 100.
The tax rate in effect = 10.15%
Complete question:
Having a total tax liability of $6,847.50, a taxable income of $67,400, and a marginal tax rate of 22%. Determine the effective tax rate for a taxable income of $75,400. round the final answer to the nearest hundredth.
A. 10.15%
B. 18.27%
C. 42.00%
D. 64.90%
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