Answer:
130 degrees
Step-by-step explanation:
Let's start by finding CDA. Angles on a line in a parallelogram add up to 180.
BCD + CDA = 180
65 + CDA = 180
CDA = 115
Now we need to find EDA. Since EDA and CDA are a linear pair, they also add up to 180.
EDA + CDA = 180
EDA + 115 = 180
EDA = 65
We are given that DE is congruent to AE. This means ADE is a isosceles triangle. Therefore Angle ADE is congruent to angle DAE.
DAE = 65
Since ABCD is a parallelogram, opposite angles are equal therefore BAD = 65
Therefore...
BAE = BAD + DAE
BAE = 65+65
BAE = 130
ILL GIVE BRAINLIEST AND EVERYTHING ELSEEE HELP
Answer:
6 x's and 9 ones
Step-by-step explanation:
en una tienda de ropa, la semana pasada, 3 pantalones y 2 abrigos costaban 245€. Esta semana estos artículos tienen un descuento del 20% y 5% respectivamente. Si ahora un pantalón y un abrigo cuestan 100,75€, ¿qué costaba cada artículo antes de la rebaja?
Solving a system of equations we can see that each pair of pants costs €82.94 and each coat costs €26.37
How to find the original cost?
Let's define the variables:
x = cost of a pant
y = cost of a coat.
First, we know that:
3x + 2y = 245
And then there are discounts of 20% and 5%, and the cost of one of each is 100.75, then:
0.8x + 0.95y = 100.75
Then we have a system of equations:
3x + 2y = 245
0.8x + 0.95y = 100.75
We can isolate x on the second equation to get:
x = (100.75 - 0.96y)/0.8
x = 125.9 - 1.2y
Replace that in the other equation:
3*(125.9 - 1.2y) + 2y = 245
Solving for y:
3*125.9 - 3*1.2y + 2y = 245
y*(2 - 3*1.2) = 245 - 3*125.9
y = (245 - 3*125.9)/(2 - 3*1.2)
y = 82.94
Then the value of x is:
x = 125.9 - 1.2*82.94
x = 26.37
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what is the slope of a line that is parallel to the line that passes through the points (2,-2) and (5,-1)
Answer:1/3
Step-by-step explanation:
The formula for finding slope is (y2-y1)/(x2-x1)
(-1--2)/(5-2)
1/3
Describe a normally distributed phenomena using standard nomenclature.
In standard nomenclature, a normally distributed dataset is represented as \(N(µ, σ^2)\), where µ is the mean and \(σ^2\)is the variance (square of the standard deviation).
A normally distributed phenomenon using standard nomenclature can be described as follows:
A dataset is said to be normally distributed if it follows a bell-shaped curve, which is symmetrical around the mean (µ) and characterized by its standard deviation (σ). In standard nomenclature, a normally distributed dataset is represented as \(N(µ, σ^2)\), where µ is the mean and \(σ^2\)is the variance (square of the standard deviation).
For example, if we consider the heights of adult males in a large population, we may observe that the distribution is normally distributed with a mean height (µ) of 175 cm and a standard deviation (σ) of 10 cm. In this case, the nomenclature for this normally distributed phenomenon would be N(175, 100), as the variance is \(10^2 = 100\).
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What does it mean if diagonals are perpendicular?
They bisect the vertex
where they intersect is a 90 degree angle
they are equal
they never intersect
Answer:
they form a 90 degree angle
Step-by-step explanation:
perpendicular (⊥) always implies 90 degree angles
parallel (║) always implies they never intersect
Which line is perpendicular to a line that has a slope
of 1?
Oline MN
Oline AB
Oline EF
Oline JK
JK is perpendicular to a line that has a slope
What is Slope?
The ratio of how much y grows as x grows by a certain amount is known as a line's slope. The slope of a line indicates how steep it is, or how much y rises as x rises. Anywhere along the line, the slope remains constant (the same).
Two lines, L1 and L2, with slopes m1 and m2 are perpendicular if
m1 x m2 = -1.
In our case m1 = 1
1 x m2 = -1
m2 = -2
so the slope of the perpendicular line is -2.
( -2 x (1) = -1).
As x increases, the line with a slope of -2 increases. Line JK is the only line displayed that fits this. Line AB cannot be the solution because it is "falling" as x grows.
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PLEASE HELP SOON!!!!
The terminal ray of angle β, drawn in standard position, passes through the point (−7, 2√3).
What is the value of cosβ?
Answer: -7√61/61
Step-by-step explanation:
I got the answer wrong on my test and this was the correct answer shown.
The cosine of the terminal ray of angle β comes to be -7/√61.
What is the cosine of an angle?The cosine of an angle is the ratio of the adjacent side to the hypotenuse.
By Pythagoras' theorem
Hypotenuse² = 7²+(2√3)²
Hypotenuse =√61
From the diagram attached
\(Cos(180-\beta )=\frac{7}{\sqrt{61} }\)
We know \(Cos(180-\beta )=-Cos\beta\)
\(-Cos\beta =\frac{7}{\sqrt{61} }\)
\(Cos\beta =\frac{-7}{\sqrt{61} }\)
So, the value of cosβ =-7/√61.
Hence, The cosine of the terminal ray of angle β comes to be -7/√61.
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How to elimination 18x-6y=-20 -9x+3y=15
The elimination of the equations 18x-6y=-20 and -9x+3y=15 is 0 = 10, which is a contradiction. This means that there is no solution to the system of equations.
What is an elimination?
To eliminate one of the variables, we need to manipulate one or both of the equations so that when we add them together, one of the variables is eliminated.
Let's start with the given equations:
18x - 6y = -20
-9x + 3y = 15
We can see that the coefficients of y in both equations are opposite, which means we can eliminate y by adding the two equations together. However, we need to make sure the coefficients of y have the same absolute value, so we'll multiply the second equation by 2:
18x - 6y = -20
-18x + 6y = 30
Now we can add the two equations together:
0x + 0y = 10
This equation simplifies to 0 = 10, which is a contradiction. This means that there is no solution to the system of equations. In other words, the two equations represent two parallel lines that never intersect.
Alternatively, we can recognize that the two equations represent the same line when simplified, since the second equation is simply half of the first equation. In this case, there are infinitely many solutions, since any point on the line satisfies both equations.
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Complete question is: The elimination of the equations 18x-6y=-20 and -9x+3y=15 is 0 = 10.
Let =[[1,2,],[3,2,1+],[2,2,2+c]] where , , and c are variables. =[[0,2+c,−],[3,+c,−1],[,3,−]] where , , and c are the same variables as in . What is the value of + ? Please store the value into a string FG_sum written with valid python code formatting (e.g. FG_sum = "[[1, 2, a], [3, 2, 1 + b], [2, 2, 2 + c]]"). (Note you are encouraged to do this by hand.)
The value of the expression +, can be determined by performing matrix addition on the given matrices and then evaluating the resulting expression. Let's proceed with the calculations: Given matrices:
A = [[1, 2, 0], [3, 2 + c, -1], [2, 2 + c, 2 + c]]
B = [[0, 2 + c, -3], [3, c, -1], [0, 3, -1]]
Performing matrix addition on A and B, we add the corresponding elements:
A + B = [[1 + 0, 2 + (2 + c), 0 + (-3)],
[3 + 3, (2 + c) + c, -1 + (-1)],
[2 + 0, (2 + c) + 3, (2 + c) + (-1)]]
Simplifying further, we get:A + B = [[1, 4 + c, -3],
[6, 2 + 2c, -2],
[2, 5 + c, 1 + c]
Therefore, the value of + is equal to the matrix [[1, 4 + c, -3], [6, 2 + 2c, -2], [2, 5 + c, 1 + c]].
We can store this value in the string FG_sum using valid Python code formatting as follows:
FG_sum = "[[1, 4 + c, -3], [6, 2 + 2 * c, -2], [2, 5 + c, 1 + c]]"
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Write any two necessary condition for collinearity.
Collinear points: Three points A, B and C are said to be collinear if they lie on the same straight line.
There points A, B and C will be collinear if AB + BC = AC as is clear from the adjoining figure.
In general, three points A, B and C are collinear if the sum of the lengths of any two line segments among AB, BC and CA is equal to the length of the remaining line segment, that is, either AB + BC = AC or AC +CB = AB or BA + AC = BC.
In other words,
There points A, B and C are collinear if:
(i) AB + BC = AC i.e.,
Or, (ii) AB + AC = BC i.e. ,
Or, AC + BC = AB i.e.,
Could someone help me find the length of each segment and which statements are true?
Answer:
see explanation
Step-by-step explanation:
(a)
calculate the lengths using the distance formula
d = \(\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }\)
with (x₁, y₁ ) = J (- 3, - 7 ) and (x₂, y₂ ) = K (3, - 8 )
JK = \(\sqrt{(3-(-3))^2+(-8-(-7))^2}\)
= \(\sqrt{(3+3)^2+(-8+7)^2}\)
= \(\sqrt{6^2+(-1)^2}\)
= \(\sqrt{36+1}\)
= \(\sqrt{37}\)
repeat with (x₁, y₁ ) = M (8, 3 ) and (x₂, y₂ ) = N (7, - 3 )
MN = \(\sqrt{(7-8)^2+(-3-3)^2}\)
= \(\sqrt{(-1)^2+(-6)^2}\)
= \(\sqrt{1+36}\)
= \(\sqrt{37}\)
repeat with (x₁, y₁ ) = P (- 8, 1 ) and (x₂, y₂ ) = Q (- 2, 2 )
PQ = \(\sqrt{-2-(-8))^2+(2-1)^2}\)
= \(\sqrt{(-2+8)^2+1^2}\)
= \(\sqrt{6^2+1}\)
= \(\sqrt{36+1}\)
= \(\sqrt{37}\)
(b)
JK ≅ MN ← true
JK ≅ PQ ← true
MN ≅ PQ ← true
Which of the following is the best
description of the number 1.381432
O A. a counting number
OB. an irrational number
OC. a rational number and a repeating
decimal
OD. a rational number and a
terminating decimal
Answer:
D. a rational number and a terminating decimal.
The number 1.381432 is a rational number and a non-repeating decimal. A rational number is a number that can be expressed as a ratio of two integers. In this case, 1.381432 can be expressed as the ratio of 1381432/1000000, which can be simplified to 689/500. It is also a non-repeating decimal, meaning that the decimal digits do not repeat in a pattern, but rather continue on without repetition. Therefore, the correct answer is not option C, which suggests that a number is a rational number and a repeating decimal.
Which statement is incorrect
A. A triangle with three congruent sides is equiangular
B. The Isosceles Triangle Theorem can be applied to Equilateral Triangles
C. The Measure of each angle of an Equlateral Triangle is 120 degrees
D. The Triangle with 3 Congruent sides is equilateral.
Answer: C
Step-by-step explanation: a triangle has a measurement of 180 degrees not 120
the answer is c the measure of each angle of an Equlateral triangle in 120 °
Use synthetic division to find p where f(x) = 2x ^ 3+ 5x ^ 2 + yx+ 8 and f(- 2) = 10
Given the function f(x):
\(f(x)=2x^3+5x^2+px+8\)And f(-2) = 10
So, we will substitute with x = -2
\(2(-2)^3+5(-2)^2+p(-2)+8=10\)solve the equation to find p
\(\begin{gathered} 2(-8)+5(4)-2p+8=10 \\ -16+20-2p+8=10 \\ -2p+12=10 \\ -2p=10-12 \\ -2p=-2 \\ p=\frac{-2}{-2}=1 \end{gathered}\)So, the answer will be the first option p = 1
PLEASE HELP ASAP!!!!!
Answer: It's the first one
Also could you mark my answer as brainliest? It helps and doesnt hurt
help please !! and i’ll mark brainliesttttt
Answer: A
Step-by-step explanation:
PLEASE HELP!!!!! I need to pass algebra
Answer:
C
Step-by-step explanation:
Macy makes a fruit punch by mixing green apple juice and carrot juice.
For every 2
cups of carrot juice, she uses 4
cups of green apple juice.
The unit rate of the juice is 0.5 carrot juice per green apple juice
Calculating the unit rates of the juiceFrom the question, we have the following parameters that can be used in our computation:
For every 2 cups of carrot juice,She uses 4 cups of green apple juice.This means that
Carrot juice = 2
Green apple juice = 4
Using the above as a guide, we have the following:
Unit rate = Carrot juice/Green apple juice
Substitute the known values in the above equation, so, we have the following representation
Unit rate = 2/4
Evaluate
Unit rate = 0.5
Hence, the unit rate is 0.5 carrot juice per green apple juice
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using estimation to solve real-life problems
can some one give me an math equation plss
If you need to paint your house, you estimate how much paint you will need. Like 4 gallons or whatever.
A city planner wants to build a road perpendicular to D Street. What should be the slope of the new road?
The slope of the new road is zero.
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
Given:
Take points from the Graph (5, 0) and (5, 4).
Slope of a line = m = tanθ
where θ is the angle made by the line with the x−axis.
For a line parallel to y−axis ,θ= π/2.
∴m = tan π/2 = undefined
The new road will therefore have 0° of inclination if it is perpendicular to D street because if they are perpendicular and D street is vertical, the new road is level and has 0° of inclination.
An horizontal line now has zero slope.
The new road has a zero slope as a result.
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Whats my name
Caleyah
Jazmine
Stepanine
Answer:
okay
Step-by-step explanation:
my name is faith hill
Kim counts the coins in her purse. She has 3 Pennie’s, 31 dimes and 9 quarters . How much money does Kim have
Kim counts the coins in her purse. She has 3 Pennie’s, 31 dimes and 9 quarters. Therefore, Kim has amount of $8.43.
To determine how much money Kim has, we need to calculate the total value of the coins she has.
Given:
3 Pennies
31 Dimes
9 Quarters
The value of each coin is as follows:
1 Penny = $0.01
1 Dime = $0.10
1 Quarter = $0.25
To calculate the total value, we multiply the number of each coin by its respective value and sum them up:
Total value = (3 * $0.01) + (31 * $0.10) + (9 * $0.25)
= $0.03 + $3.10 + $2.25
= $5.38
Therefore, Kim has $5.38.
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sooooooooooooooooooooooooooooo easy
Answer:
11/12..................
Answer:
J) 11/12
Step-by-step explanation:
PLZ HLP I DONT KNOW
SO DIFFICULT
IVE BEEN TRYING FOR 7 HOURS
PLZZZZZZZZZZZZZZZZZZZZZZ
2+2
How many solutions does this equation have?
–8 + t = –t + 10
Answer:
One
Step-by-step explanation:
Since (1) is the highest exponent value, there can only be one solution.
IF t^2 then there would be two answers.
Answer:
One solution
Step-by-step explanation:
To find the amount of solutions, you must solve first:
-8 + t = -t + 10
First, add t to both sides:
-8 + 2t = 10
Add 8 to both sides:
2t = 18
Divide both sides by 2:
t = 9
Since there has been a solution to this equation, that means there's only one solution.
Consider the initial value problem D'=13_), zo = [ 2] y(0) = a. Find the eigenvalue 1, an eigenvector v1, and a generalized eigenvector v2 for the coefficient matrix of this linear system. - l= , Vj = -- b. Find the most general real-valued solution to the linear system of differential equations. Use t as the independent variable in your answers. y(t) = C1 + C2 c. Solve the original initial value problem. yı(t) = ya(t) =
The solution to the initial value problem is yı(t) = ya(t) = [a e^(13t) - (e^(13t) - 1)] (1, 0).
Given information:Consider the initial value problem D' = 13_, zo = [ 2] y(0) = a.To find the eigenvalue 1, an eigenvector v1, and a generalized eigenvector v2 for the coefficient matrix of this linear system.Step-by-step explanation:The given differential equation isD' = 13_Y = [ 2] y(0) = a.The coefficient matrix A for this system is:A = [13]The eigenvalues λ1, λ2 are obtained by solving the characteristic equation:det(A - λI) = 0where I is the 2x2 identity matrixdet(A - λI) = (13 - λ)(-λ) - 2(0) = λ(λ - 13)This equation has two roots:λ1 = 0, λ2 = 13.The corresponding eigenvectors v1 and v2 are obtained by solving the equations:(A - λ1I) v1 = 0, (A - λ2I) v2 = 0. For λ1 = 0, we have(A - λ1I) v1 = (13 0) (v1[1])= (0 0) (v1[2])which implies that v1[1] = 0 and v1[2] is free. Therefore, v1 = (0, 1). For λ2 = 13, we have(A - λ2I) v2 = (0 0) (v2[1])= (0 -13) (v2[2])which implies that v2[1] is free and v2[2] = 0. Therefore, v2 = (1, 0).The generalized eigenvector v3 for λ1 = 0 is obtained by solving the equation:(A - λ1I) v3 = v2For this equation, we have(13 0) (v3[1])= (0 0) (v3[2])which implies that v3[1] is free and v3[2] = 0. Therefore, v3 = (1, 0).b. Find the most general real-valued solution to the linear system of differential equations. Use t as the independent variable in your answers.The general solution of the system is given byy(t) = c1 e^(0 t) (0, 1) + c2 e^(13t) (1, 0) + c3 (t e^(0 t) (0, 1) + e^(0 t) (1, 0))Therefore, the most general real-valued solution to the linear system of differential equations is given byy(t) = c1(0, 1) + c2 e^(13t)(1, 0) + c3 (t(0, 1) + (1, 0))c. Solve the original initial value problem.To solve the given initial value problem, we need to determine the coefficients c1, c2, and c3 that satisfy the initial conditions:y(0) = a = c1(0, 1) + c2(1, 0) + c3(0, 1) + (1, 0)c1 = 0, c2 = a - 1, and c3 = 0Therefore, the solution to the initial value problem is given byy(t) = (a - 1) e^(13t) (1, 0) + (1, 0) = [a e^(13t) - (e^(13t) - 1)] (1, 0) = y1(t)The solution to the initial value problem is yı(t) = ya(t) = [a e^(13t) - (e^(13t) - 1)] (1, 0).
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please answer a and b question 3 a. find singular value decomposition b. find a reduced singular value decomposition for the matrix x
(a) The singular value decomposition of matrix x is given.
(b) The reduced singular value decomposition of matrix x is given.
The Singular Value Decomposition is a highlight of linear algebra. A is any m by n matrix, square or rectangular. Its rank is r. We will diagonalize this A, but not by X-1AX. The eigenvectors in X have three big problems: They are usually not orthogonal, there are not always enough eigenvectors, and Ax = λx requires A to be a square matrix. The singular vectors of A solve all those problems in a perfect way. Let me describe what we want from the SVD: the right bases for the four subspaces. Then I will write about the steps to find those bases in order of importance. The price we pay is to have two sets of singular vectors, u's and v's. The u's are in RTM and the v's are in R". They will be the columns of an m by m matrix U and an n by n matrix V. I will first describe the SVD in terms of those basis vectors. Then I can also describe the SVD in terms of the orthogonal matrices U and V. (using vectors) The u's and v's give bases for the four fundamental subspaces:
The singular value decomposition (SVD) of a matrix A is the process of factorizing A into the product of three matrices A = U DV^{T} where the columns of U and V are orthonormal and the matrix D is diagonal with positive real entries.Data matrix A is useful to find a low rank matrix which is a good approximation to the data matrix.
The columns of V is called the right singular vectors of A and it normally form an orthogonal set with no assumptions on A. The columns of U is reffered to as the left singular vectors and it also forms an orthogonal set. The orthogonality forms the inverse of A for a square and invertible matrix A which is V D^{-1}U^{T}.
If we want gain better insight of the process, we will need to treat the rows of an n × d matrix A as n points in a d-dimensional space and find the best k-dimensional subspace with respect to the set of points. This means that we will minimize the sum of the squares of the perpendicular distances of the points to the subspace.
To find the best fitting line through the origin with respect to a set of points {xi |1 ≤ i ≤ n} will mean that we will minimize the sum of the squared distances of the points to the line.
For reduced SVD factorization of a non-square matrix A of size m x n can be represented in a reduced format: • For m>n: U is m x n, is n x n, and V is n x n • For m≤n: U is m x m, Σ is m x m, and V is n x m (note if V is n x m, then VT is m x n) The following figure depicts the reduced SVD factorization (in red) against the full SVD factorizations (in gray).
This is the way to calculate SVD and reduced SVD.
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Rejecting the null hypothesis when it is true is called a _____ error, and not rejecting a false null hypothesis when it is false is called a(n) _____ error.
The difference between a type II error and a type I error is that a type I error rejects the null hypothesis when it is true (i.e., a false positive). The probability of committing a type I error is equal to the level of significance that was set for the hypothesis test.
The null hypothesis in inferential statistics is that two possibilities are equal. The underlying assumption is that the observed difference is just the result of chance. It is feasible to determine the probability that the null hypothesis is correct using statistical testing.
A statistical hypothesis known as a null hypothesis asserts that no statistical significance can be found in a collection of provided observations. Using sample data, hypothesis testing is performed to judge a theory' veracity. It is sometimes referred to as just "the null," and its symbol is H0.
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the sscp exam consists of ____ multiple-choice questions, and must be completed within three hours.
Answer:
125 questions
Answer:
125 questions
Step-by-step explanation:
What is the rule for the following sequence of numbers: 2, 7, 17, 37, ?
Answer:
The rule is "add 5, add 10, add 20" and the rule keeps doubling.