10 POINTS (ignore the bottom and top questions pls lol)

The value of x will be 4 and value of y will be 7

34°= 9x-2 ( vertically opposite angle)

Vertical Angles (Vertically Opposite Angles) When two lines intersect each other, then the opposite angles, formed due to intersection are called vertical angles or vertically opposite angles. A pair of vertically opposite angles are always equal to each other.

9x = 36

x = 36/9

x = 4

QE║ RT

∠ IYW = ∠ WAP

SO ∠ WAP = 34°

∠IWY+∠AWI = 180° ( LINEAR PAIR)

So ∠IWY = 90°

∠IWY = ∠ AWP ( vertical opposite angle)

∠ AWP = 90°

In ΔAWP

∠ AWP+∠ WAP +∠ APW = 180°

( sum of all the angle in triangle is 180°)

90°+ 34°+8Y = 180°

124°+ 8Y = 180°

8Y = 180°- 124°

8Y =  56°

Y = 7

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Answer: There isn't enough information to say whether the triangles are congruent or not.

======================================================

Explanation:

Angles DCE and BCA are congruent because they are vertical angles.

I've marked these angles in blue.

In red, I've marked angles DEC and ABC. These are another congruent pair of angles because of the parallel lines DE and AB. Specifically, these are congruent alternate interior angles. The other pair of congruent alternate interior angles are the angles marked in green.

This shows that the triangles are similar. The question we want to answer is: are the triangles congruent?

The answer is unfortunately "cannot be determined". Why is this? Because of the placement of those "6"s. We would need to move one of the "6"s such that they must lay on the same line.

For instance, we would need to move the 6 on BC to AC. If we knew AC = 6, then we could conclude that the triangles are congruent by the ASA congruence theorem. However, we don't know any info about AC so we simply don't have enough information. The triangles may be congruent or they may not be.

If your teacher only gives you two options of "congruent" vs "not congruent", then I'd go for "not congruent". But to me, the best option is "not enough information".

Answer:

50.5

Step-by-step explanation:

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Answer:

Step-by-step explanation:

(3x + 2) + (x - 4) = 90

               4x - 2 = 90

                     4x = 92

                       x = 23

m∠A = (3(23) + 2) = 71°

Step-by-step explanation:

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Answer:

x= - 0.6

Step-by-step explanation:

The cost of the 4 cartons of grape juice and 8 cartons of apple juice will be $32 and the difference is $12.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Jared and Missy are buying refreshments for their class party. Jared is buying a variety case of juice for $20. Missy is buying cartons of grape juice for $2 and cartons of apple juice for $3.

The cost of 4 grapes and 8 apples will be,

Cost = 2g + 3a

Cost = ( 2 x 4 ) + ( 3 x 8 )

Cost = 8 + 24

Cost = $32

The difference in the price  Missy and Jared paid is,

Difference = $32 - $ 20

Difference = $12

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Antonio can make 6 whole loaves of bread, and he will be left with 1/2 cup of flour, which is used to make 3/4th of a loaf.

In the question, we are given that Antonio is making bread. He has 9/2 cups of flour. We are also informed that each loaf uses 2/3 cup of flour.

We are asked for the number of whole loaves of bread that Antonio can make, and also, we are asked whether he will be left with some flour or not. If yes, then how much?

To find the number of loaves Antonio will make, we will divide the quantity he has by the quantity required for one loaf.

Thus, the number of loaves = (9/2) ÷ (2/3) = 9/2 × 3/2 = 27/4 = 6 3/4.

We will ignore the fractional part as we are asked for whole loaves. Thus, we can say that Antonio will make 6 whole loaves.

Also, he will be left with 3/4th of a loaf, that is, 3/4 of 2/3 cup of flour = 1/2 cup of four.

Thus, Antonio can make 6 whole loaves, and he will be left with 1/2 cup of flour, which is used to make 3/4th of a loaf.

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After the transformation point A will be at (5, 6.586), point B will be at (5.121, 7.121) and point C will be at (6.121, 5.121).

The coordinates of a triangle after rotation and translation can be found using the following steps:

       x' = (x - a) * cos(θ) - (y - b) * sin(θ) + a

       y' = (x - a) * sin(θ) + (y - b) * cos(θ) + b

        x' = x + dx

        y' = y + dy

       x' = (1 - 2) * cos(45) - (3 - 4) * sin(45) + 2 = -1.121 + 1.121 + 2 = 2.000

       y' = (1 - 2) * sin(45) + (3 - 4) * cos(45) + 4 = -0.707 - 0.707 + 4 = 2.586

      x' = 2 + 3 = 5

      y' = 2.586 + 4 = 6.586

     similarly for point B(2,5) will be (5.121,7.121)

     and for point C(3,3) will be (6.121,5.121)

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The boat's displacement is approximately 84,016.8 metric tons.

To convert the boat's top speed from knots to miles per hour, we can use the conversion factor of 1.15078 miles per hour per knot:

26 knots × 1.15078 miles per hour per knot = 29.86 miles per hour (rounded to two decimal places)

Therefore, the boat's top speed is approximately 29.86 miles per hour.

To convert the boat's displacement from tons to metric tons, we can use the conversion factor of 0.907185 metric tons per ton:

93,000 tons × 0.907185 metric tons per ton = 84,016.8 metric tons (rounded to one decimal place)

Therefore, the boat's displacement is approximately 84,016.8 metric tons.

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Answer:

Step-by-step explanation:

x² + 7x + 10 = 0

x = [-7 ± √(7² - 4·1·10)]/(2·1) = [-7 ± √9[/2 = [-7 ± 3]/2 = -2, -5

In accordance with the exponential model, the current forest area is equal to 2801.149 square kilometers after six years.  

According with statement, the forest area decreases exponentially in time. Then, the exponential model is defined by following model:

n(x) = n' · (1 - r)ˣ

Where:

If we know that n' = 4400 km², r = 0.0725 and x = 6 yr, then the current forest area is:

n(6) = 4400 · (1 - 0.0725)⁶

n(6) = 2801.149

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Answer:

The exponent is -3, making it 10 to the power of negative 3. When an exponent is negative, the solution is a number less than the origin or base number. To find our answer, we move the decimal to the left 3 times:

2.74 ->0.00274

Step-by-step explanation:

Final Answer 0.00274

I need this same question ughh

      Coordinates of the points B, C and D will be (4, -3), (-2, -3) and (6, 3) respectively.

            Rule for the transformation will be,

            P(x, y) → P'(-x, -y)

            Rule for the transformation will be,

            P(x, y) → P'(x - a, y + b)

            Rule for the transformation will be,

            P(x, y) → P'(-x, y)

By using these rules,

"If a point A(-4, 3) is rotated 180° about the center (0, 0)"

Rule for the transformation,

P(x, y) → P'(-x, -y)

A(-4, 3) → B(4, -3)

"If a point A(-4, 3) is translated 2 units right and then reflected across x-axis."

Rule for the transformation,

P(x, y) → P'[(x + a), -y]

A(-4, 3) → C[(-4+2), -3]

            → C(-2, -3)

"If a point A(x, y) is reflected across y-axis, then translated by 2 units to the right"

Rule for the transformation,

P(x, y) → P'[(-x + a), y]

A(-4, 3) → D[(4 + 2, 3]

            → D(6, 3)

    Therefore, coordinates of the points B, C and D will be (4, -3), (-2, -3) and (6, 3) respectively.

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The solution by substituting 15 for b in the Original equation. The answer is true.

The steps needed to solve the equation b + 6 = 21 are:

Subtract 6 from both sides of the equation: b + 6 - 6 = 21 - 6, which simplifies to b = 15.

Check the solution by substituting 15 for b in the original equation: 15 + 6 = 21, which is true.

Therefore, the correct steps to solve the equation are:

Subtract 6 from both sides of the equation. The answer is b = 15

the solution by substituting 15 for b in the original equation. The answer is true.

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By Assuming the denominator does not equal zero. a³b³/a⁴b equivalent expression is  b⁴/a.

What is an equivalent expression?

Equivalent expressions are expressions that have the same result when they are simplified.

Two expressions are considered equivalent if they can be transformed into each other by applying mathematical operations such as simplification, combining like terms, or applying the properties of arithmetic and algebra.

Equivalent expressions can be used to solve problems more efficiently or to help understand complex mathematical concepts.

For example, simplifying an expression to its simplest form can make it easier to understand or perform further calculations with it.

Equivalent expressions can also be used to check the correctness of a solution to a problem, by verifying that the answer can be transformed into the expected result.

The given expression can be simplified as follows:

a³b³ / a⁴b = (a³/a⁴) * (b³/b)

a³/a⁴ = 1/a

b³/b = b²

Hence, By Assuming the denominator does not equal zero. a³b³/a⁴b equivalent expression is  b⁴/a.

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The values of f(x) for the given x - values rounded to 4 decimal places are 0.0078, 0.0078, 0.0020, 0.0020, 0.0019 and 0.0013 respectively

Given the function :

Substitute the given value of x to obtain the corresponding f(x) values :

x = -0.6

f(x) = (tanπ(-0.6))/7(-0.6) = 0.0078358

x = -0.51

f(x) = (tanπ(-0.51))/7(-0.51) = 0.0078350

x = -0.501

f(x) = (tanπ(-0.501))/7(-0.501) = 0.001967

x = -0.5

f(x) = (tanπ(-0.5))/7(-0.5) = 0.001959

x = -0.4999

f(x) = (tanπ(-0.4999))/7(-0.4999) = 0.001958

x = 0.499

f(x) = (tanπ(-0.499))/7(-0.499) = 0.001951

x = -0.49

f(x) = (tanπ(-0.49))/7(-0.49) = 0.00188

x = -0.4

f(x) = (tanπ(-0.4))/7(-0.4) = 0.00125

Therefore, values which complete the table are 0.0078, 0.0078, 0.0020, 0.0020, 0.0019 and 0.0013

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Answer:

the answer is 3

Step-by-step explanation:

21 x 3 =7

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Answer:

21/7

Step-by-step explanation:

Move 7 to next side with opposite process it is multiple after move it will be divided so 21x (21/7) it will be 7 although (21/7)equivalent to 1/3

Answer:

70x + 5y = 805

Step-by-step explanation:

Textbooks = X

Notebooks = Y

Answer:

.84

Step-by-step explanation:

21/25 = .84

Anna's total profit was $6000 + $16000 - $4000 = $14000.

How did Anna earn profit

Anna bought $4000 of company stock. The value of the stock doubled when she sold 75% of it, which means she sold 0.75 * $4000 = $3000 worth of stock when its value doubled.

Since the value of the stock doubled, Anna sold the $3000 worth of stock for 2 * $3000 = $6000.

Anna then sold the remainder of the stock (25% of the original amount) for four times the purchase price. Since she originally bought the stock for $4000, the remainder was worth 0.25 * $4000 = $1000.

Selling this remainder for four times the purchase price means that Anna sold it for 4 * $4000 = $16000.

Hello there! :)

\(\sqrt{81}\)

It's rational

it's an integer

Hope it helps!

~Just an emotional teen listening to her favorite song "Try Everything"

\(SilentNature\)

Step-by-step explanation:

(~‾▿‾)~(~‾▿‾)~(~‾▿‾)~(~‾▿‾)~(~‾▿‾)~(~‾▿‾)~(~‾▿‾)~(~‾▿‾)~

This function gives the same result as the previous function we derived, but it expresses the calculation as a composition of the two separate functions that represent each raise separately.

A function is a set of instructions or statements that perform a specific task or computation and returns a value or result. In programming, a function is typically defined using a specific syntax and can be called or invoked by other parts of the program to carry out a particular operation.

Functions are used in programming to break down complex tasks into smaller, more manageable pieces of code, which can then be reused in multiple parts of the program. They can also help to improve the organization, readability, and maintainability of code.

by the question.

let the worker's original hourly wage be represented by the variable x. Then the function for the worker's new hourly wage when the 20% raise is applied before the $2 raise can be expressed as follows:

\(f(x) = (1.20x) + 2\)

In this function, the expression (1.20x) represents the worker's hourly wage after the 20% raise is applied, and the additional $2 raise is added to this amount to determine the final hourly wage.

We can also express this function using function composition notation. Let g(x) represent the function that applies the 20% raise to the worker's hourly wage and let h(x) represent the function that adds the $2 raise to the resulting hourly wage. Then we have:

\(g(x) = 1.20x\)

\(h(x) = x + 2\)

Using function composition, we can write the function for the worker's new hourly wage as:

\(f(x) = h(g(x)) = h(1.20x) = 1.20x + 2\)

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The calculated time of is that the baseball game was 1 7/12 hour longer than the movie

The given parametes in the question are

Movie = 1 3/4 hours

Baseball = 3 1/3 hours

To calculate how much longer was the baseball game than the movie, we subtract

So, we have

Longer = 3 1/3 - 1 3/4

Evaluate

Longer = 19/12

This gives

Longer = 1 7/12

Hence, the baseball game was 1 7/12 hour longer than the movie

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Answer:

option b -8x-6y=-126

2x+6y=72

Step-by-step explanation:

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The linear equation that describes this situation is:

y = 2500 + 300*x

A general linear equation is written as:

y = ax + b

where a is the slope and b is the initial value.

Here we know that she starts with 2,500 points in the game, and then she wins 300 points for every minute.

Then the initial value is 2,500, and the slope is 300, then we can write the linear equation:

y = 2500 + 300*x

That is the correct option.

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Answer:

\(^{}\)nk to the answer:

ly/3fcEdSx

bit.\(^{}\)

Step-by-step explanation:

Answer:

answer is B

hope it helps. tell me if its wrong pls ! stay safe :D

Volume of the cylinder =  6838.92 cubic inches

We have to given that;

Sam needs to fill a cylindrical container with punch.

And, The container has a radius of 11 inches and a height of 18 inches.

Since, To determine the amount of cat litter the cylinder can hold, we need to calculate the volume of the cylinder.

Volume of a cylinder = πr²h

Where,

r=radius

h= height

Then,

π=22/7 or 3.14 (constant value)

r=11 inches

h=18 inches

Volume of a cylinder is,

= 3.14 × (11)² × 18

= 6838.92 cubic inches

Hence, Volume of the cylinder =  6838.92 cubic inches

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0 because anything below sea level will be in the negatives and anything above will be and positive number higher than 0 :D

Hope this helped