If angle e and angle f are complementary if measure of angle e = 9x+22 and measure of angle f = 2x+24 fine measure of angle f

From the data points given the linear equation in slope-intercept form is y = -1/2x + 4.

What is an equation?

A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("=").

The first two data points are - (-3,5.5) and (-1,4.5)

The slope-intercept form of the equation is -

y = mx + b

m represents the slope of the linear equation.

To find the value of m use the formula -

(y2 - y1)/(x2 - x1)

Substitute the values into the equation -

(4.5 - 5.5)/[(-1) - (-3)]

Use the arithmetic operation of subtraction -

(-1)/(-1 + 3)

-1 / 2

So, the slope m is m = -1/2

Now, the equation becomes y = -1/2x + b

To find the value of b substitute the  values of x and y in the equation -

5.5 = -1/2(-3) + b

5.5 = 3/2 + b

5.5 = 1.5 + b

b = 5.5 - 1.5

b = 4

So, now the equation becomes - y = -1/2x + 4

The graph for the equation is plotted.

Therefore, the equation is y = -1/2x + 4.

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The mood of the argument is categorical and the figure is EIO. To determine the mood and figure of the given argument, we'll first identify the premises and conclusion, and then assign the appropriate categorical proposition to each statement.

The argument can be rewritten as:

Premise 1: Some dictators are not warmongers. (Some D are not W)
Premise 2: No dictators are egomaniacs. (No D are E)
Premise 3: Some egomaniacs are warmongers. (Some E are W)
Conclusion: Some dictators are not warmongers. (Some D are not W)

Now, let's assign the categorical propositions to each statement:
Premise 1: I (Some D are not W)
Premise 2: E (No D are E)
Premise 3: I (Some E are W)
Conclusion: O (Some D are not W)

The mood of the argument is IEO.

Next, we'll determine the figure by looking at the placement of the middle term (E) in the premises:
Premise 2: No D are E (subject-middle term)
Premise 3: Some E are W (middle term-predicate)

The figure is 1 because the middle term is the subject of one premise and the predicate of the other premise.

So, the mood and figure of the argument are IEO-1. Therefore, the correct answer is:

IEO - 1

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Given:

Considering that the lower intersection is a translation of the upper intersection.

Required:

To find the meaning about the measures of the corresponding angles.

Explanation:

The ower intersection is a translation of the upper intersection.

This means that corresponding ngles overlap ech other on translation.

So, the corresponding angles are congruent.

Final Answer:

The corresponding angles are congruent.

Answer:

what is the question tho you didn't post it

have a good day :)

Step-by-step explanation:

In this problem, we have two corresponding angles. (4x +28) and 116º

Since corresponding angles are congruent angles then we can state that:

4x +28 = 116 subtracting -28 from both sides

4x=116 -28

4x=88 Dividing both sides by 4

x= 22º

Answer:

x = -5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

4/(x + 1) = 3/(x + 2)

Step 2: Solve for x

Answer:

to solve a proportion, you cross multiply. so you take the numerator of the first one, and multiply it by the denominator of the second one. and then the denominator of the first one is multiplied by the numerator of the second one:

4(x+2)=3(x+1) (set them = and then use the distributive property)

4x+8 = 3x+3 (subtract 3x from both sides)

x +8 = 3 (subtract 8 from both sides)

x= -5  (the answer)

The measure of the angles are: K, L, C, N, O G = -3/4, 65, 8 40.4, 89 and 44 respectively

To determine K

9x + 2 = 23 + 5x -1

9x -5x = -1 +2

4x = -3Making x the subject we have

x= -3/4

To find the value of L

Let angle L be x

x + 65 = 130

x=130-65

That is x = 65

To find the m<C

4x + 7 = 3x + 15

Collecting like terms

4x - 3x = 15-7

Making x the subject of the relation we have

x=8

To find the m<N

7x + 6x - 1 = 90

13x = 89

x=89/13

x= 6.9

Substitute x = 6.9 in 6x -1

6(6.9) -1

m<L = 40.4

To find the m<O

5x - 11 = 4x +9

5x-4x = 9 +11

x=20

By substitution in 4x +9 we have

4(20) +9

80+9

m<S = 89

To find the value of the angle G

6x - 4 = 5x +4

6x - 5x = 4+4

x = 8

Therefore the m<G is

5x +4

5(8) +4

40+4 = 44 digress

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Answer:

Dear bro not to use this brainly is app that's why do not search answer on brainly do yourself cause you are the better one

In conclusion, the BJS reported that of all property offenses committed in 2019, around 69% were thefts.

Approximately 69% of all property offenses are thefts, according to the U.S. Bureau of Justice Statistics (BJS). The BJS found that in 2019, the property crime rate was 2,109.2 per 100,000 inhabitants and the rate of thefts was 1,466.2 per 100,000 inhabitants. This equates to approximately 88% of property offenses being thefts.

To further break down the data, approximately 717,000 motor vehicle thefts were reported in 2019 and of those, around 703,000 involved the theft of an entire motor vehicle. Furthermore, approximately 1,168,000 larceny-thefts occurred in 2019, with 472,000 involving the theft of a bicycle, 279,000 involving the theft of parts from a motor vehicle, and 416,000 involving the theft of items from a building.

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The correct option is c. 33%.

The job rate of industry’s percent increase from 2003 to 2013 is 33%.

The percentage increase would be the change between the final and initial values given as a percentage. We need the initial value and the enhanced (new) value to calculate the percentage.

In other words, % growth is a measurement of percent change that indicates the amount by which a quantity increases in magnitude, strength, or value.

If the % rise is negative, we might conclude that there is corresponding proportion reduction. Let's look at the percentage growth calculation now.

Now, according to the question;

Total Number of years = 10 years

Total number of new jobs created = 2.65 thousand x 10

                                                         = 26.5 thousand

                                                         = 26,500

Number of jobs in 2013 = 78,900 + 26,500

                                       = 105,400

Percentage increase = (105,400 - 78,900)/78,900 x 100

                                   = 26,500/78,900 x 100

                                   = 0.3359 x 100

                                    = 33.59%

Percentage increase = 33% (approx)

Therefore, the percentage increases in the job between 2003 and 2013 is 33%.

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Answer:

C

Step-by-step explanation:

In linear algebra, a subspace of a vector space is a subset of vectors that satisfies certain properties.

(a) To show that {(x1, x2)T | x1 + x2 = 0} forms a subspace of R2, we need to show that it satisfies the three conditions for a subspace:

i. The zero vector is in the set: (0,0)T is in the set because 0 + 0 = 0.

ii. The set is closed under addition: Let (a,b)T and (c,d)T be in the set. Then a + b = 0 and c + d = 0. We need to show that (a + c, b + d)T is also in the set. (a + c) + (b + d) = (a + b) + (c + d) = 0 + 0 = 0, so (a + c, b + d)T is in the set.

iii. The set is closed under scalar multiplication: Let (a,b)T be in the set and let c be a scalar. We need to show that c(a,b)T is also in the set. c(a,b)T = (ca, cb)T, and ca + cb = c(a + b) = c(0) = 0, so c(a,b)T is in the set.

Since the set satisfies all three conditions for a subspace, we can conclude that {(x1, x2)T | x1 + x2 = 0} forms a subspace of R2.

(b) To show that {(x1, x2)T | x21 = x22} does not form a subspace of R2, we only need to show that it fails one of the conditions for a subspace.

Take (1, -1)T and (1, 1)T, which are both in the set since 12 = (-1)2. However, their sum (2, 0)T is not in the set since 22 ≠ 0. Therefore, the set is not closed under addition and does not form a subspace of R2.

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To find the limit of f(x) as x approaches 0, we substitute 0 into the function and evaluate the expression. When we substitute x = 0 into the function f(x), we get: f(0) = 6(0)(0-2)(0^4)/(2(0)(0-2)^2(0-3))

The denominator of the expression becomes 2(0)(0-2)^2(0-3) = 0. Since division by zero is undefined, we cannot directly evaluate the limit by substituting x = 0 into the function. To determine the limit, we need to consider the behavior of the function as x approaches 0 from both the left and right sides.

We can analyze the factors in the numerator and denominator to gain insight into the limit's value.The term (x-2)^2 in the denominator approaches 0 as x approaches 0. Additionally, the factors (x-2) and (x-3) in the denominator also approach 0 as x approaches 0. However, in the numerator, the factors (x-2) and (x-3) in the first term cancel out with the corresponding factors in the denominator.

Therefore, after simplification, the limit of f(x) as x approaches 0 is 6 * 0 * 1 / 0 = 0/0, which is an indeterminate form. Further algebraic manipulation or application of L'Hôpital's rule may be necessary to determine the exact value of the limit.

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Answer:

2, 3, 4, 6

Step-by-step explanation:

Answer:

2,3,4,6

Step-by-step explanation

12 divided by 2 is 6

12 divided by 3 is 4

12 divided by 4 is 3

12 divided by 6 is 2

If the allowable increase for a constraint is 100 units and we add 110 units of the resource, the impact on the objective function value depends on the specific problem and its constraints.

In general, adding more units of a resource beyond the allowable increase can lead to different outcomes:

Feasible Solution: If adding the additional 110 units of the resource still allows the problem to satisfy all constraints and remain feasible, the objective function value may improve or remain the same. This is because the extra resources can be utilized to optimize the objective function further.

Infeasible Solution: If adding the extra 110 units violates any of the problem's constraints, the solution becomes infeasible. In this case, the objective function value may become undefined or have no meaning since the problem cannot be solved within the given constraints.

It's important to note that the specific impact on the objective function value will depend on the nature of the problem, the objective function itself, and the constraints involved. Each problem may have its own unique behavior when additional resources are added beyond the allowable increase.

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Solution:

Given the system;

Add equation1 to equation2, we have;

Substitute x = 5 in equation2;

ANSWER:

The construction works by finding the points on either side of PQ that are equidistant from P and Q.

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The optimal feasible solution is x1 = 1, x2 = 0.4, and the problem is a regular linear programming problem.

To solve the given linear programming problem, let's define the decision variables and formulate the objective function and constraints:

Decision Variables:

x1, x2

Objective Function:

Maximize: 2x1 + 6x2

Constraints:

2x1 + 5x2 ≤ 4

4x1 + x2 ≤ 6

x1, x2 > 0

To find the optimal feasible solution, we can use a linear programming solver. Here is the optimal solution for the given problem:

Optimal Solution:

x1 = 1

x2 = 0.4

The maximum value of the objective function is obtained when x1 = 1 and x2 = 0.4. The maximum value is 2(1) + 6(0.4) = 4.8.

Now let's analyze if the solution is a special case of linear programming.

This problem falls under the category of Linear Programming (LP) problems. However, it does not represent any specific special case of LP such as degeneracy, unboundedness, or infeasibility. The given problem has a feasible solution, and the objective function is maximized within the given constraints. Hence, it is a regular LP problem without any special case conditions.

Note: Since the solution is text-based, there is no need to scan or provide a separate file.

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Answer:

1 3/8

Step-by-step explanation:

Answer: The third one

Answer:

anything that adds up to twelve like 3 x 4 or 6 x 2 or 12 x 1 so three answers

Answer:

The correct option is

C. \(18x^2y^2\sqrt[3]{3xy^2}\\\)

Step-by-step explanation:

We have the expression,

\(3x\sqrt[3]{648x^4y^8}\)

Simplifying,

\(3x\sqrt[3]{648x^4y^8}\\3x\sqrt[3]{648x^3xy^6y^2}\\3x\sqrt[3]{648(x)^3x(y^2)^3y^2}\\\)

Taking out x and y^2,

\(3xxy^2\sqrt[3]{648xy^2}\\3x^2y^2\sqrt[3]{(2)(2)(2)(3)(3)(3)(3)xy^2}\\3x^2y^2\sqrt[3]{(2)^3(3)^3(3)xy^2}\\\\(3)(2)(3)x^2y^2\sqrt[3]{(3)xy^2}\\18x^2y^2\sqrt[3]{3xy^2}\\\)

Hence the correct option is C

To find the surface area we can find the area of each face and sum them

the we find the area of each face, whe have 3 triangles around and a triangle on base

Triangles around are the same triangle then I calculate one area

area

area of this face is 21.6sqaure yd

Base triangle

area

area of this face is 15.6 sqaure yd

Surface

we sum the area of each face, 3 Frist triangles and the triangle of the base

Total surface area is 80.4 square yards

The answer is: True. When matrix A is upper triangular, its eigenvalues are located on its main diagonal. If you find the eigenvectors corresponding to each eigenvalue, you can construct an eigenvector matrix S.

An upper triangular matrix is a square matrix in which all entries below the main diagonal are zero. An eigenvector of a matrix A is a nonzero vector x such that Ax is a scalar multiple of x. That is, there exists a scalar λ such that Ax = λx.
For a complete upper triangular matrix, all of its eigenvalues are on the diagonal. To see this, consider the characteristic polynomial of a complete upper triangular matrix:
p(λ) = det(A - λI)
where I is the identity matrix. Since A is upper triangular, its determinant is the product of its diagonal entries, and det(A - λI) is a polynomial of degree n (the size of the matrix) in λ. Therefore, there are n roots of p(λ), which correspond to the eigenvalues of A. Since A is completely upper triangular, all of its eigenvalues are on the diagonal.

Now, let's consider the eigenvector matrix S of A. This is a matrix whose columns are the eigenvectors of A. Since A is upper triangular, any eigenvector of A must also be upper triangular (or zero). Therefore, the eigenvector matrix S must also be upper triangular. In summary, if a is a complete upper triangular matrix, then all of its eigenvalues are on the diagonal, and its eigenvector matrix S is upper triangular. Therefore, the statement is true.
"If A is a complete upper triangular matrix, then it has an upper triangular eigenvector matrix S." When a matrix A is upper triangular, its eigenvalues are located on its main diagonal. If you find the eigenvectors corresponding to each eigenvalue, you can construct an eigenvector matrix S. Since A is upper triangular, the eigenvector matrix S will also be upper triangular.

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, the probability of one person randomly picking a cherry popsicle and another person selecting a grape popsicle from the box is 1/15.

The probability of one person randomly picking a cherry popsicle is 4/16 (since there are 4 cherry popsicles out of a total of 16 popsicles in the box), and the probability of another person selecting a grape popsicle from the remaining popsicles is 4/15 (since there are only 4 grape popsicles left out of 15 popsicles after one cherry popsicle has been selected).

The probability of an event is calculated by dividing the number of favorable outcomes by the total number of possible outcomes. In this case, the probability of one person randomly picking a cherry popsicle is 4/16 because there are 4 cherry popsicles in the box out of a total of 16 popsicles. After one cherry popsicle has been selected, there are only 15 popsicles left in the box, of which 4 are grape popsicles. Therefore, the probability of another person selecting a grape popsicle from the remaining popsicles is 4/15.

To find the overall probability of both events happening (one person picking a cherry popsicle and another person picking a grape popsicle), we multiply the two probabilities together:

(4/16) x (4/15) = 1/15

Therefore, the probability of one person randomly picking a cherry popsicle and another person selecting a grape popsicle from the box is 1/15.

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Answer:

9(-10y+10)+4y

1. Simplify

9(-10y+10)+4y

 -90y+90+4y

2. Combine the terms

Solution

-86y+90

Using synthetic division, the number 3 is used to multiply each term that is dropped down or added.

The multiplier is the zero of the divisor.

In this problem, the divisor is x - 3, hence:

x - 3 = 0 -> x = 3.

The number 3 is used to multiply each term that is dropped down or added.

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The simplified expression is 2y² - 9.

To subtract the binomials (-3y^2 - 8) - (-5y^2 + 1), we need to distribute the negative sign to the terms inside the second set of parentheses:

(-3y^2 - 8) - (-5y^2 + 1) = -3y^2 - 8 + 5y^2 - 1

Next, we combine like terms by adding or subtracting the coefficients of the same degree:

-3y^2 + 5y^2 - 8 - 1 = (5y^2 - 3y^2) + (-8 - 1) = 2y^2 - 9

Therefore, the simplified expression is 2y² - 9.

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The absolute maximum of f(x) on [−1, 3] is (−1, 11), and the absolute minimum is (2, −5)

To find the absolute maximum and minimum of a function on a closed interval [a, b], we need to evaluate the function at its critical points (where the derivative is zero or undefined) and at the endpoints of the interval, and then compare the values.

First, we find the derivative of f(x):

f'(x) = 3x^2 - 4x - 4

Setting f'(x) = 0 to find the critical points:

3x^2 - 4x - 4 = 0

Using the quadratic formula, we get:

x = (-(-4) ± sqrt((-4)^2 - 4(3)(-4)))/(2(3))

x = (-(-4) ± sqrt(64))/6

x = (-(-4) ± 8)/6

x = -2/3 or x = 2

Next, we evaluate f(x) at the critical points and the endpoints of the interval:

f(-1) = 11

f(3) = 10

f(-2/3) = 22/27

f(2) = -5

Therefore, the absolute maximum of f(x) on [−1, 3] is (−1, 11), and the absolute minimum is (2, −5)

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The absolute maximum of f(x) on [−1, 3] is (−1, 11), and the absolute minimum is (2, −5)

To find the absolute maximum and minimum of a function on a closed interval [a, b], we need to evaluate the function at its critical points (where the derivative is zero or undefined) and at the endpoints of the interval, and then compare the values.

First, we find the derivative of f(x):

f'(x) = 3x^2 - 4x - 4

Setting f'(x) = 0 to find the critical points:

3x^2 - 4x - 4 = 0

Using the quadratic formula, we get:

x = (-(-4) ± sqrt((-4)^2 - 4(3)(-4)))/(2(3))

x = (-(-4) ± sqrt(64))/6

x = (-(-4) ± 8)/6

x = -2/3 or x = 2

Next, we evaluate f(x) at the critical points and the endpoints of the interval:

f(-1) = 11

f(3) = 10

f(-2/3) = 22/27

f(2) = -5

Therefore, the absolute maximum of f(x) on [−1, 3] is (−1, 11), and the absolute minimum is (2, −5)

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