Use the diagrams. Name a pair of nonadjacent supplementary angles.

1. KJL
2. KJM
3. MJN
4. MJP
5. FGH
6. LJM
7. FGE
8. NJP
9. LJN

Answer:

Step-by-step explanation:

Work done is transfer of energy...... but without complicating things a little further let's just consider the amount of work done while cleaning the backyard is the same regardless of who the doer is/ how many in number are the doers. So

So power is the time rate change of work done:

[tex]P=w/t\\[/tex]

let's say power of LeeAnn =L, Mandy=M

[tex]L=w/30 minutes\\M=w/25 minutes\\[/tex]

And if they worked together their power will add up to L+M

[tex]L+M=w/T\\[/tex], while T is the amount of time needed when they clean together.

[tex]L+M=w/T\\w/30min + w/25min =w/T\\1/30min+1/25min=1/T, w\neq 0\\1+(6/5)=30/T\\11/5=30/T\\11T=150\\T=150/11 min\\T=13.6 min[/tex]

The product of matrices A and B​ is  the elements 0 and 6 in the first row and -10 and -8 in the second row.

Given that the matrix A = 2 - 143 and B = -11-2-4.

Assume that the order of the matrix of A and B is 2x2.

The elements of matrix A are as below:a₁₁ = 2, a₁₂ = -1, a₂₁ = 4, a₂₂ = 3

The elements of matrix B are as below:b₁₁ = -1, b₁₂ = 1, b₂₁ = -2, b₂₂ = -4

We need to find the product of matrices A and B.

Let C denote the product of matrices A and B.

Then the order of the matrix C is 2x2 and its elements are calculated as follows : c₁₁ = a₁₁·b₁₁ + a₁₂·b₂₁ ⇒ c₁₁ = 2(-1) + (-1)(-2)⇒ c₁₁ = -2 + 2⇒ c₁₁ = 0 c₁₂ = a₁₁·b₁₂ + a₁₂·b₂₂⇒ c₁₂ = 2.1 + (-1)(-4)⇒ c₁₂ = 2 + 4⇒ c₁₂ = 6c₂₁ = a₂₁b₁₁ + a₂₂b₂₁⇒ c₂₁ = 4(-1) + 3(-2)⇒ c₂₁ = -4 -6⇒ c₂₁ = -10c₂₂ = a₂₁b₁₂ + a₂₂b₂₂⇒ c₂₂ = 4(1) + 3(-4)⇒ c₂₂ = 4 - 12⇒ c₂₂ = -8

Therefore the required matrix has the elements 0 and 6 in the first row and -10 and -8 in the second row.

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The matrix format was not clear from the question.So, assumptions were made to answer this question.

Answer:

Hope this helps

Step-by-step explanation:

full explanation in the given picture

The solution of the given equation is y = (6x - 11)/4.

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

We have been given that equation as

⇒ 6x - 4y = 11

We have to determine the solution for y.

⇒ 6x - 4y = 11

Rearrange the terms of the above equation and solve for y,

⇒ 4y = 6x - 11

Divided by 4 on both the side of the equation, we get

⇒ y = (6x - 11)/4

Hence, the solution of the given equation is y = (6x - 11)/4.

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Answer:

Step-by-step explanation:

a and b are integers

A number that can be written in the form a/b where a and b are integers. However, b cannot equal zero. Therefore a rational number

Answer: the fourth choice, or y=-3x+18

Step-by-step explanation:

using the point-slope form, we can plug in the values:

y-0= -3(x-6)

distributing the right side we get

y-0=-3x+18

putting it into y=mx+b form we get y=-3x+18

Answer:

Step-by-step explanation:for the triangle GIF, angle g = 80

angle f = 42 since angle FBA = 138

so angle i = 180 - 42 - 80

                 = 58

Using a system of equations, the solution matrix that gives the weight of a fizgig and the weight of a whatsit is:

[x y] = [5 4]

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

For this problem, the variables are given as follows:

Two fizgigs and three whatsits weigh 22 noozwhats, henec:

2x + 3y = 22.

Four fizgigs and two whatsits weigh 28 noozwhats, hence:

4x + 2y = 28.

Simplifying by 2:

2x + y = 14

y = 14 - 2x.

Replacing in the first equation:

2x + 3(14 - 2x) = 22

2x + 42 - 6x = 22

4x = 20

x = 20/4

x = 5 noozwhats.

y = 14 - 2(5) = 4 noozwhats.

Hence the solution matrix that gives the weight of a fizgig and the weight of a whatsit is:

[x y] = [5 4]

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The surface area of square pyramid is 64 ft²

What is square pyramid?
In terms of geometry, a square pyramid is a pyramid with a square base and four lateral faces. A pyramid is a type of polyhedron with three or more triangular faces that meet above its base (the apex). A square pyramid is a pentahedron, a three-dimensional shape with a total of five faces. The Great Pyramid of Giza is a well-known example of a real-life pyramid. When we learn about pyramids, we must also learn other concepts that are related to them, such as the volume and area of the pyramid. In this article, we will learn what a square pyramid is, its types, characteristics, surface area formulas, and volume formulas with numerous examples and solutions.

For a square pyramid, the surface area is given by the following equation:

SA = a^2 + 4(a)(h)
where a is the side length of the base and h is the slant height.
In this case, a = 4 and h = 3. Therefore,
SA = 4^2 + 4(4)(3)
SA = 16 + 48
SA = 64 ft^2

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The graph is made and attached.

Given, the equation is x ₋ √x₊3 = 0

substitute values for x from the interval ₋1 to 5 and then graph the points.

for x = ₋1:

₋1 ₋ √₋1 ₊ 3 = 0

₋1 ₋ 1.42 = 0

₋2.42

for x = 0

0 ₋ √0₊3 = 0

₋1.74

for x=1

1 ₋ √1₊3 = 0

1 ₋ √4 = 0

1 ₋ 2 = 0

₋1

for x = 2

2 ₋ √2₊3 = 0

2 ₋ √5 = 0

2 ₋ 2.24 = 0

0.24

for x = 3

3 ₋ √3₊3 = 0

0.55

for x = 4

4 ₋ √4₊3 = 0

4 ₋ √7 = 0

1.25

for x = 5

5 ₋ √5₊3 = 0

2.17

hence we have the points (₋1,₋2.42) (0,₋1.74)(1,₋1)(2,0.24)(3,0.55)(4,1.25) and(5,2.17)

plot the above points on the graph.

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Answer:

I think the answer is A

Step-by-step explanation:

I'm not sure if it's correct or not but I chose the option because the atoms in substance are not chemically combined

Answer:3 11/14

Step-by-step explanation:im right

Answer:on the given cushion. We want to represent cost like 30 in terms of cost. Rita. Now by the identity sector tragical toe one by scientists. Now we know that science can't theta plus Costco Arteta is equal to one. So they get signed. Tetteh is equal to plus minus quite a tough one. Minus cause squared theta. So this will be a photo one by plus minus square wrote off one minus y squared theta.

Step-by-step explanation:

The expression is  negative one eighteenth times x plus 18.

The expression says "one sixth times the quantity 4 times x plus 18 end quantity minus 13 over 18 times x".

Therefore, the statement can be expressed as follows;

1 / 6 × 4 × x + 18 - 13 / 18 × x

Therefore, let's simplify it

1 / 6 × 4 × x + 18 - 13 / 18 × x

4x / 6 + 18 - 13 / 18 × x

4x / 6 + 18 - 13 / 18 x

combine like terms

4x / 6 + 18 - 13 / 18 x

4x / 6 - 13 / 18 x + 18

12x - 13x / 18 + 18

Therefore,

- 1 / 18 x + 18

Therefore, the expression is  negative one eighteenth times x plus 18.

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Answer: b) negative one eighteenth times x plus 3

Step-by-step explanation: :)

Answer:

132 feet per second

Step-by-step explanation:

Answer:

Angle 2 is 36 degrees because of Alternate Exterior Angle Theorem being that both of the angle outside and are alternate are Congruent.

The answer is X=11 because 2x+14=36, 2x=22, x=11. 2(11)+14=36

The dimensions of the original piece of cardboard are 24 inches by 12 inches

The given parameters are:

Length (l)= Width (w) + 12

Length of the square cut out = 6

Volume of box, V = 1728

The volume of the box is then calculated as

V = Length of squares * Length * Width

This gives

V = 6 * (w + 12) * w

So, we have:

6 * (w + 12) * w = 1728

Divide both sides by 6

(w + 12) * w = 288

Expand

w^2 + 12w - 288 = 0

Using a graphing calculator, we have:

w = 12

Substitute w = 12 in l = w + 12

Evaluate

l = 12 + 12

l = 24

Hence, the dimensions of the original piece of cardboard are 24 inches by 12 inches

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Complete question

Lorene plans to make a box from rectangular sheets of cardboard from which she cuts out 6 inches squares from each corner. The length of the original piece of cardboard is 12 inches more than the width. If the box is 1728 inches cubed, determine the dimensions of the original piece of cardboard.

Answer:

point A and point B

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

I think it’s B. because it has negative 3 and negative 2 but for C., it is between negative 2 and negative 1 which can’t be correct since it would end at negative 2 and this is why it is b.

Interest earned by Mary is $ 3,745.92 which is more than the interest than Josh earned that is $ 3,600.

For Mary:

Principal = $ 30,000

Interest rate = 4 %

Compounded annually

t = 3 years

Amount = $ 30,000 ( 1 + 4 / 100 )³

A = 30,000 ( 1.04)³

A = 30,000 ( 1.124864 )

A = $ 33,745.92

Interest = A - P = 33,745.92 - 30,000 = $ 3745.92

For Josh:

Principal = $ 30,000

Simple interest

t = 3 years

Interest = 30,000 × 3 × 4 / 100

Interest = $ 3600

Therefore, interest earned by Mary is $ 3,745.92 which is more than the interest than Josh earned that is $ 3,600.

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Answer:

Step-by-step explanation:

meow meow its 99

Using it's concept, the mean test score is of 4.9.

The mean of a data-set is given by the sum of all observations in the data-set divided by the number of observations.

From the frequency table, the sum of the 30 observations is given by:

0 x 3 + 1 x 2 + 2 x 6 + 3 x 1 + 4 x 1 + 5 x 3 + 6 x 2 + 7 x 4 + 8 x 4 + 9 x 2 + 10 x 2 = 146.

Hence the mean test score is given as follows:

M = 146/30 = 4.9.

The mean test score is of 4.9.

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Answer:

12.87

Step-by-step explanation:

Since we know that line CD is a perpendicular bisector, triangle ACD is a right triangle, and thus we can apply the Pythagorean theorem to determine the length of side CD. Since the Pythagorean theorem states that a^2 + b^2 = c^2, where c is the hypotenuse and a and b are the adjacent sides, we can plug in the values of side AD and AC.

As side CD is the bisector of side AB, sides AD and DB are both half the length of side AB, so:
AD = 11/2
AD = 5.5

We now know two values of our equation, and thus we can solve for the missing third value.

5.5^2 + b^2 = 14^2
14^2 - 5.5^2 = b^2
196 - 30.25 = b^2
165.75 = b^2
[tex]\sqrt{165.75} = b[/tex]
b = 12.87

Answer:

1/8

Step-by-step explanation:

Step-by-step explanation:

Divide by 4h, d=3f-g3/4h

Answer:7

Step-by-step explanation: the answer is 7

The equation that represent the same salary is 55,000x+2,500x=64,000+1500x

Algebra is a branch of mathematics dealing with symbols and the rules for manipulating those symbols.

Given:

Katherine has a new job and earns salary of $55,000.  Katherine will receive a salary increase of $2,500 per year .

max has a new job and earns a salary of $64,000. Max will receive a salary increase of $1,500 per year.

So, in the case they would have the same salary for some x years the expression can be

Katherine salary along with increment= 55000+ 2500x

Max salary along with increment= 64000+ 1500x

Hence, equation ca be used to find x, the number of years it will take Katherine to earn the same salary as Max is 55,000x+2,500x=64,000+1500x.

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From the fig the Area model is, = 3/5(2/5 + 1/3)

Area is defined as the total space taken up by a flat (2-D) surface or shape of an object. Take a pencil and draw a square on a piece of paper. It is a 2-D figure. The space the shape takes up on the paper is called its Area. Now, imagine your square is made up of smaller unit squares.
Area of rectangle = l x b
given that, lets consider the fig as rectangle with one side 2/5+1/3 as breadth and another side 3/5

As we know , Area of rectangle = l x b

l=3/5

b=2/5+1/3

Area model= 3/5(2/5 + 1/3)

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Answer:

The Area model for the fig. is, = 3/5(2/5 + 1/3).

Step-by-step explanation:

Area is the entire amount of space occupied by a flat (2-D) surface or an object's shape. On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a shape on paper is the area that it occupies. Consider your square as being composed of smaller unit squares.

Rectangle area = l x b

Given that, let's imagine the fig as a rectangle with a width of 2/5+1/3 and a length of 3/5.

As we know , Area of rectangle = l x b

l=3/5

b=2/5+1/3

Area model= 3/5(2/5 + 1/3)

Answer:

2 and 17

Step-by-step explanation:

2 x 17= 34

hope it helps