calculate the Unknown Missing angle measures ​

Answer:

AI's Auto Shop: y = 149 + 53x

Edna's Engine Repair: y = 280

Explanation:

The system of equations represent the costs of the two different repair shops. The first equation, y = 149 + 53x, represents the total cost of AI's Auto Shop. The variable x represents the number of hours of labor required, and the variable y represents the total cost. The second equation, y = 280, represents the flat fee charged by Edna's Engine Repair.

The graph of the system of equations would show two lines, one for each equation. The line for AI's Auto Shop would have a slope of 53 and a y-intercept of 149, representing the cost of parts and hourly labor. The line for Edna's Engine Repair would be a horizontal line at y = 280, representing the flat fee charged.

When the job takes 2 hours, AI's Auto Shop would charge $149 + $53*2 = $255 and Edna's Engine Repair would charge $280. So, AI's Auto Shop would be cheaper.

For a job that takes 3 hours, AI's Auto Shop would charge $149 + $53*3 = $308 and Edna's Engine Repair would charge $280. So, AI's Auto Shop would be more expensive.

Answer: $512.50

Step-by-step explanation:

     Eliana saved for 25 weeks and put $20.50 in her savings account every week. We will use multiplication to help us solve.

$20.50 * 25 weeks = $512.50

Ans$w3r:

The answer is $512.50

Step By Step Explanation:

25 weeks x $20.50 =  $512.50

Answer: The answers are A and B because when you divide all the numbers you get 6. It is not C and D because when you get different quotients.

Step-by-step explanation:
A. 6/1=6

12/2=6

18/3=6

24/6=6

36/6=6
———————————————————————————————————————
B.14/-4=-3.5

7/-2=-3.5

-14/4=-3.5

-21/6=-3.5

Answer: two times four times three ( or if you meant 3x) then three x

Step-by-step explanation:

Answer:

13x+38

Step-by-step explanation:

The side lengths of the new right triangle can be determined by the ratio of the given triangle.

A triangle is a three-sided polygon with three straight sides that are connected at three corners. It is one of the most basic shapes in geometry and is found in many areas of mathematics. Triangles can be classified according to their angles, sides, and size. They can be equilateral, isosceles, or scalene, depending on the size of their angles and sides. Triangles are used in a variety of fields, including architecture, engineering, construction, art, and design.
The side opposite the 30° angle will always be half the length of the hypotenuse, while the side opposite the 60° angle will always be equal to the square root of three times the length of the side opposite the 30° angle. This means that if the hypotenuse of the given triangle is 2, then the side opposite the 30° angle will be 1 and the side opposite the 60° angle will be √3.

Therefore, for any other right triangle containing a 30° or a 60° angle, the side length can be found by multiplying the side length of the given triangle by the same ratio. For example, if the hypotenuse of the new triangle is 6, then the side opposite the 30° angle will be 3 and the side opposite the 60° angle will be 3√3.

In conclusion, for any right triangle containing a 30° or a 60° angle, the side lengths can be determined by multiplying the side lengths of the given triangle by the same ratio.

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The servings can be made from two gallons is 192 serving

From the question, we know that 4 cups of milk equals to 24 servings.

4 cups = 24 serving

To solve total serving which can be made from two gallons of milk, we have to convert unit from gallon into cup, so it can be multiplied with the amount of serving

1 gallon equals to 4 quarts .....(1)

1 quart equals to 2 pints ..........(2)

From info no. 1 and 2, we can know that

1 gallon = 4 x 2 = 8 pints ..........(3)

Next, 1 pint equals to 2 cups ...........(4)

Since 1 gallon equals to 8 pints from information no. 3, we combine information no. 3 and information no. 4 to convert gallon to cup.

1 gallon = 8 x 2

             = 16 cups ....................(5)

For 2 gallon, we just simply multiply info no 5

2 gallon = 16 x 2 cups

              = 32 cups .................(6)

In the case of 4 cups can make 24 serving, Total number of serving can be calculated with info no. 6

Number of serving = 32 / 4 x 24 = 8 x 24 = 192 serving

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Answer:

y = [tex]\frac{5}{3}[/tex] x - [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

given m = [tex]\frac{5}{3}[/tex] , then

y = [tex]\frac{5}{3}[/tex] x + c ← is the partial equation

to find c substitute (4, 6 ) into the partial equation

6 = [tex]\frac{5}{3}[/tex] (4 ) + c = [tex]\frac{20}{3}[/tex] + c ( subtract [tex]\frac{20}{3}[/tex] from both sides )

[tex]\frac{18}{3}[/tex] - [tex]\frac{20}{3}[/tex] = c , so

c = - [tex]\frac{2}{3}[/tex]

y = [tex]\frac{5}{3}[/tex] x - [tex]\frac{2}{3}[/tex] ← equation of line

Answer:

Yes it is!

Step-by-step explanation:

Hope it helps!

Answer: If I'm correct it's 3

Step-by-step explanation:

0 + 3 = 3

The equation will be represented as angle = (n - 2) × 180.

The value of n is 2.

An equation simply has to do with the statement that illustrates the variables given. In this case, it is vital to note that two or more components are considered in order to be able to describe the scenario.

Since the sum of the interior angle measures of an n-sided convex polygon is (n−2)·180°.

An equation setting this expression equal to the given angle measure will be:

angle = (n - 2) × 180

Angle = 180n - 360

The value of n will be:

180n - 360 = 0

180n = 360

Divide

n = 360/180

n = 2.

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The answer is 9x+8=4

The solution of a linear equation is defined as the points, in which the lines represent the intersection of two linear equations. In other words, the solution set of the system of linear equations is the set of all possible values to the variables that satisfies the given linear equation.

Given here: Nine times the sum of a number and 8 is equal to 4

let the number be x then we have as per question

9x+8=4

x=-4/9

Hence, The required equation is 9x+8=4

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None of the functions listed have a great rate of change.

Rate of change is a major of house quickly one quantity change in relation to another it is parisu of the changing 122 the changing another quantity over specified time period it is commonly used mathematics physics economic and other discipline to make operate of vijay process is a caring rate of changing also known as velocity, derivative or slope.

Function (a) is a linear equation, and its rate of change is constant. Function (b) is a linear equation, and its rate of change is also constant. Function (c) is a set of coordinates, so it does not have a rate of change.

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Answer:

y = ax

[tex]y = {ax}^{2} + bx + c[/tex]

The correct option is A.

The linear equation y = 2x + 1 is shown in Graph A.

The equation of a straight line's shape with slope and y-intercept is as follows:

y = mx + b

where

y is equal to a point's y-coordinate on a line.

m is the line's slope.

The point on the line whose y-coordinate is y has the x-coordinate of x.

B is the line's y-intercept, or b.

As opposed to y = mx + b, y = 2x + 1

As we can see, the

m = 2 slope

b = 1 as the y-intercept

The graph that crosses the y-axis at the point where y = 1 is only option A, as shown by the intercept value.

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Note the correct question would be as bellow,

Which graph shows the linear equation y = 2x + 1

Answer:

use c and d

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

a² + b² = c² where c is the hypotenuse (8)

a² + 6² = 8²

a² + 36 = 64

a² = 64 - 36

a² = 28

take square root of both sides

a = square root 28

Answer:

5,827

Step-by-step explanation:

substitute x = 10 into the expression

5(10)³ + 8(10)² + 2(10) + 7

= 5(1000) + 8(100) + 20 + 7

= 5000 + 800 + 27

= 5,827

Yes, it showed you the fomula

Answer: 64x^6y^3

Answer:

Step-by-step explanation:

Since adding a negative to a positive is inverse subtracting, use this as an advantage and act as if you're subtracting to get the result, or output value, -9.

Hope this helps! :)

Answer:

[tex] \sf \: x = - 11[/tex]

Step-by-step explanation:

Now we have to,

→ find the required value of x.

The equation is,

→ 2 + x = -9

Then the value of x will be,

→ 2 + x = -9

→ x + 2 = -9

→ x = -9 - 2

→ [ x = -11 ]

Hence, the value of x is -11.

The polynomial x² - 6x + 4y - 19 = 0 has domain and range along D: (–∞, ∞); R: (–∞, 7], the foci is at (3, 6), it's directrix and axis of symmetry are y = 8 and x = 3 respectively

A polynomial is an equation made up of constants, such as integers and algebraic operations, and variables (sometimes referred to as coefficients) (such as addition, subtraction, multiplication, and division). The quantity of terms it contains determines what it is. Quadratic equations, cubic equations, and quartic equations are typical examples of polynomials.

In the given problem, the polynomial is

x² - 6x + 4y - 19 = 0

4y = -x² + 6x + 19

The domain of this function is;

domain = (-∞, ∞)

The range of the function is all possible values along the y - axis

range = (-∞, 7]

The focus is along (3, 6)

The directrix of the polynomial is y = 8

The axis of symmetry is x = 3

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Therefore , the solution to the given problem of surface area is the sector's area is 12 square centimeters.

Surface is a unit used to describe how much overall space a object's surface occupies. A three-dimensional shape's surface area is equal to the sum of its surroundings. The overall surface region of a tri shape is referred to as surface area. The surface area of a cube with six square faces can be calculated by adding up each face's specific area. As an alternative, you can identify the box's measurements using the formula below: Surface (SA) is equal to two times two times two. The total amount of space that a three-dimensional shape takes up is used to determine its surface area.

Here,

The parameters in this case are:

Radius, r = 12 Angle, x = /6

The sector's geographic area is

A = (1/2) × r^2x

We thus have:

A = (1/2) × 12^2 * π/6

Evaluate

A = 12π

Therefore , the solution to the given problem of surface area is the sector's area is 12 square centimeters.

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Consequently, the sector's area is 12 square centimeters in which the parameters are Radius, r = 12 Angle, x =π /6 .

A circle is created when every place in the line that is a specific distance apart from another point does so (center). As a result, it is a curve made up of points that are spaced apart from one another in the plane. It is rotationally symmetric the about center at all angles. Every pair of endpoints in the plane that make up a circle are uniformly distributed out from the "center" and form a closed, two-dimensional object. A specular symmetries line is produced by a line that passes through the circle. It is rotationally equal about the center at all angles.

given

The parameters are as follows:

Radius, r = 12 Angle, x =π /6

The sector's geographic area is

A = (1/2) × r^2x

We thus have:

A = (1/2) × 12^2 * π/6

Evaluate

A = 12π

Consequently, the sector's area is 12 square centimeters in which the parameters are Radius, r = 12 Angle, x =π /6 .

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The inverse of the function f(x) and its domain include the following: D. f⁻¹(x) = (x + 4)²; x ≥ 0.

In Mathematics, an inverse function simply refers to any type of function that is typically generated by reversing the mathematical operation in a given function (f(x)).

In order to determine the inverse of any function, you should swap both the input value (x-value) and output value (y-value) as follows;

f(x) = √x - 4

y = √x - 4

x = √y - 4

√y = x + 4

Taking the square of both sides of this inverse function, we have:

f⁻¹(x) = (x + 4)²

For the domain of this function, we have:

f(x) = √x - 4

When x= 0, we have:

f(0) = √0 - 4

f(0) = 0.

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Answer: $87.99

Step-by-step explanation: ($125.70) x (1 - 0.30)
= $87.99

Answer: $87.99

Step-by-step explanation:

Use Is/Of=%/100

Step 1: Plug in Points

Aardvark=$125.70 is on sale for 30% off

is/125.70=30/100 ---> 125.70(30)/100=$37.71

Step 2: Subtract Discount to Original Price

125.70-37.71=$87.99

In class 9, the midpoint formula is a mathematical formula used to find the midpoint of a line segment given the coordinates of its two endpoints. The midpoint formula is:

(x, y) = ( (x1 + x2) / 2, (y1 + y2) / 2)

Where (x1, y1) and (x2, y2) are the coordinates of the two endpoints of the line segment, and (x, y) are the coordinates of the midpoint.

For example, if the coordinates of the two endpoints of a line segment are (3, 4) and (7, 10), you can use the midpoint formula to find the coordinates of the midpoint:

(x, y) = ( (3 + 7) / 2, (4 + 10) / 2)

(x, y) = (5, 7)

So the midpoint of the line segment with endpoints (3, 4) and (7, 10) is (5, 7)

The midpoint formula is used in class 9 to find the midpoint of a line segment in coordinate geometry. It's a simple way to find the point which is exactly in the middle of two given points. It can be used to find the center of a circle if we know the coordinates of two points on the circumference.

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Answer: B

Step-by-step explanation: 61 - (f x 14) would give us the number of french fries he had left over

The value of the term in the arithmetic sequence is -65. Option C

The general formula for the nth term of an arithmetic sequence is expressed as;

an = a₁ + (n − 1)d

Given the sequence;

16, 7, -2, -11, -20,...

The common difference is determined as = second term - first term

= 7 - 16

= -9

Now, substitute the values, we get;

a10 = 16 + (10-1)-9

expand the bracket, we get;

a10 = -6 + 9(-9)

multiply the values, we have;

a10 = 16 -81

Subtract the terms

a10 = -65

Thus, the value is -65

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A line of longitude is called a meridian because it connects the North and South poles and forms a circle around the Earth, like the sun's meridian path during the day.

A line of longitude is an imaginary line that circles the Earth and runs in a north-south direction. It is measured in degrees and divides the Earth into two equal halves, the Eastern Hemisphere and the Western Hemisphere. This line is called a meridian because it is derived from the Latin word meridies which means mid-day or noon. The sun's path across the sky during the day follows a meridian from the North Pole to the South Pole, and this is what inspired the term "meridian" to describe the line of longitude.

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The option D is correct. The line is going through the origin.

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a. The simple interest for 4 years would be $960.

b. The amount at the end of the 4 years would be $2160.$

A man deposited $1200 in his bank account. A simple interest of 20% per annum was paid on his deposit.

a. For calculating simple interest for the 4 years

We have been given data as:

Principal (P) = $1200

Rate of Interest (R) = 20%

Time (T) = 4 years

⇒ Simple interest  = P × R × T

Substitute the value of P, R, and T in the above formula,

The simple interest for 4 years would be:

⇒ 1200 x 20% x 4 = 960

b. For calculating the amount at the end of the 4 years

The amount at the end of the 4 years would be:

1200 + 960 = 2160

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Answer:

[tex] \sf \: {( - 6)}^{3} = - 216[/tex]

Step-by-step explanation:

Given problem,

→ (-6)⁸/(-6)⁵

Let's evaluate the problem,

→ (-6)⁸/(-6)⁵

→ 1679616/-7776

→ (1679616) ÷ (-7776)

→ -216

→ (-6)³

Hence, the answer is (-6)³.