Write an equation or proportion. Define the
variable/s. Solve and label the answer/s. The
measure of the smallest angle in a triangle is 40
degrees less than the measure of the largest angle
and 20 degrees less than the measure of the next
smallest angle. What is the measure of each
angle?

Answer:

The result of subtracting 3 km 500 m from 10 km is 6500 m (Or expressed in kilometers: 6.5 km).

Step-by-step explanation:

Hi,

We need to convert both measurements to the same unit (either km or meters) and then subtract:

Reminder:

1 km = 1000 m

=> 10 km = 10 * 1000 = 10000 m

=> 3 km 500 m = 3 * 1000 + 500 = 3500 m

Now we can subtract:

10000 m - 3500 m = 6500 m

The result of subtracting 3 km 500 m from 10 km is 6500 m (Or expressed in kilometers: 6.5 km).

Good luck!

The correct answer is:

Major Axis Endpoints: (6, -3) and (-2, -3)

Minor Axis Endpoints: (2, 3) and (2, -9).

The major axis of a graph is the line that divides it in two equal parts. It is also known as the x-axis or the y-axis and it is the axis that is perpendicular to both the x and y axes. The major axis is an important part of the graph because it is used to plot the points on the graph. The points on the graph are plotted in relation to the major axis, allowing for easier interpretation of the graph.

The endpoints of the major axis of an ellipse are the points on the ellipse which are farthest away from each other. These points are located on the longest diameter of the ellipse and are the points at which the ellipse changes directions. Similarly, the endpoints of the minor axis of an ellipse are the points on the ellipse which are closest to each other.

In the equation (x−2)212+(y+3)236=1, the equation describes an ellipse which has its center located at the point (2, -3). The major axis of this ellipse has endpoints located at the points (6, -3) and (-2, -3). The minor axis of this ellipse has endpoints located at the points (2, 3) and (2, -9). Therefore, the correct answer for the table is as follows:

Major Axis Endpoints: (6, -3) and (-2, -3)

Minor Axis Endpoints: (2, 3) and (2, -9)

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Answer: Krysti's mistake was ordering only 12 small T-shirts when she should have ordered more. To figure out how many small T-shirts she should have ordered, we can start by finding out how many classmates wanted small T-shirts:

60% of 25 classmates = 0.60 x 25 = 15 classmates

So, 15 classmates wanted small T-shirts. If Krysti had ordered one small T-shirt for each of these classmates, she would have needed 15 small T-shirts. However, Krysti only ordered 12 small T-shirts, which means she is short by 3 shirts.

To avoid this mistake, Krysti should have double-checked her calculations and made sure that the number of small T-shirts she ordered matched the number of classmates who wanted small T-shirts.

Step-by-step explanation:

Arranging the twelve 1 tiles in 3 rows of 4 instead of any other arrangement of twelve 1 tiles, such as 2 rows of 6, makes sense because it allows for more flexibility and creativity in exploring mathematical concepts and creating visual representations.

An arrangement is a way of organizing or arranging a set of objects in a specific order or sequence.

When arranging the tiles in 3 rows of 4, there are more possible ways to create rectangular arrays using the tiles. For example, you could create a 4x3 array, a 3x4 array, a 2x6 array, a 6x2 array. These different arrays can be useful in a variety of mathematical contexts, such as exploring multiplication and division.

Therefore, arranging the twelve 1 tiles in 3 rows of 4 instead of any other arrangement of twelve 1 tiles, such as 2 rows of 6, makes sense because it allows for more flexibility and creativity in exploring mathematical concepts and creating visual representations.

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Answer:

depends

Step-by-step explanation:

?

The probability for this problem is an Empirical probability, as it is taken from an experiment.

A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.

Empirical probability is based on observations or experimental data, for example, observing the number of students in a cafeteria and obtaining the percentage of male students and female students, as is done for this problem.

Theoretical probability, on the other hand, is based on mathematical analysis and is calculated using the principles of probability theory. It is the probability that an event will occur based on all possible outcomes. For example, a fair coin is equally as likely to be heads or tails.

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Answer:

Below

Step-by-step explanation:

Slope,m, is the 'x' coefficient =  -1   for this line   y = -x+4-2

Answer:

D.

Step-by-step explanation:

Answer:

the answer for the problem is D.

follow the order

[tex]\pi /2[/tex] should be in between 0 and [tex]\pi[/tex], therefore it should be right in the middle. every 90 degrees, the circle increases by [tex]\pi /2[/tex] as well.

By answering the above question, we may infer that We may reduce this equation to: Applying the rule that log base an of ab = b 4 = x Hence, x = 4.

A mathematical equation links two statements and utilises the equals sign (=) to indicate equality. In algebra, an equation is a mathematical assertion that proves the equality of two mathematical expressions. For instance, in the equation 3x + 5 = 14, the equal sign separates the numbers by a gap. A mathematical formula may be used to determine how the two sentences on either side of a letter relate to one another. The logo and the particular piece of software are usually identical. like, for instance, 2x - 4 = 2.

The equation may be changed to read:

x = log base 3 of 81.

81 being equivalent to 3 to the power of 4, we get the following:

x Equals log base 3 of 34.

We may reduce this to: Applying the rule that log base an of ab = b

4 = x

Hence, x = 4.

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The circle in the middle represents the number of households with an Aggie or a Longhorn fan and it is 90.

Household refers to a single dwelling unit occupied by a family or other group of people who share common living arrangements. This includes a home, apartment, condominium, or other dwelling. Households can be single-family, multi-family, or even a group of unrelated people. They are typically headed by one or more adults, and may include children, elderly family members, and other dependents.

The total number of households surveyed is 1000 and is represented by the circle outside the two others. The circle on the left represents the number of households with an Aggie fan and it is 670. The circle on the right represents the number of households with a Longhorn fan and it is 450. The circle in the middle represents the number of households with an Aggie or a Longhorn fan and it is 90.

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The translation of the polygon is 6 units to the left

A translation moves a shape up, down, or from side to side, but it has no effect on its appearance. A transformation is an example of translation. A transformation is a method of changing a shape's size or position. Every point in the shape is translated in the same direction by the same amount.

A translation in the coordinate plane moves every point on a figure a given distance in a given direction. The position of any point (x, y) on the figure changes to (x + a, y + b), where a and b are real numbers.

Given data ,

Let the polygon be represented as ABCD

Now , the coordinates of the polygon is given as

The coordinate of A = A ( 1 , 3 )

The coordinate of B = B ( 3 , -1 )

The coordinate of C = C ( 7 , -1 )

The coordinate of D = D ( 5 , 3 )

Now , the translated polygon is having the coordinates as

The coordinate of A' = A' ( -5 , 3 )

The coordinate of B' = B' ( -3 , -1 )

The coordinate of C' = C' ( 1 , -1 )

The coordinate of D' = D' ( -1 , 3 )

So , the translation rule is ( x , y ) → ( x - 6 , y )

And , the figure is translated 6 units to the left

Hence , the translation is 6 units to the left

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Do know trig? you'll find out that AB is Hypotenuse and we also know the Adjacent side if you don't please take a look at the image below and the cos alpha is equal to Adjacent side/Hypotenuse = AC/AB so AB is Adjacent side/cos alpha

The equation can be written as:

(2 + 1/3) + 3*(1/3)

And the solution, writen as a mixed number, is 3 + 1/3.

Here we have a diagram where we can see an addition (its an addition because of the direction of the arrow).

On the leftside we can see two whole squares and a one thid strip.

Then the number is:

2 + 1/3

And to that, we are adding 3 one third strips, then we are adding:

(2 + 1/3) + 3*(1/3)

That should be the equation

We can solve that equation to get:

2 + 1/3 + 3/3

= 2 + 1/3 + 1

= 3 + 1/3

That is the solution written as a mixed number.

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Answer:

AC = 14.9

BC = 10.5

Step-by-step explanation:

The triangle is a isosceles right triangle with ∠B = 90o, ∠A = ∠C = 45o.

Therefore AB = BC = 10.5

Pythagorean theorem states that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse, which is AC.

AC^2 = AB^2 + BC^2

AC^2 = 2AB^2

AC^2 = 2(10.5)^2

AC^2 = 220.5

AC = √220.5 = 14.85 or 14.9

The following conclusions can be made regarding the given graph -

A proportional relationship between two variables {x} and {y} means that if {x} increases, then {y} increases with it proportionally.

Given is the graph of a straight line as shown in the image.

Only one single graph of a straight line is given. We cannot compare it, so we will analyze its meaning itself.

        {m} = (0 - 2.4)/(0.8 - 0)

        {m} = -2.4/0.8

        {m} = - 3

Therefore, the following conclusions can be made regarding the given graph -

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Average cost per square foot to build a fast-food restaurant is $238 .

The division is the process of repetitive subtraction. It is the inverse of the multiplication operation. It is defined as the act of forming equal groups. While dividing numbers, we break down a larger number into smaller numbers.

Given,

Area of the restaurant = 4000 sqft

Total average cost to build the restaurant

= $952000

Average cost of per sqft

= 952000/4000

= $238

Hence, $238 is the average cost per square foot to build a fast-food restaurant.

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The expression that represents the area of the given door is (3w+8)w.

A finite collection of symbols that are properly created in line with context-dependent criteria is referred to as an expression, sometimes known as a mathematical expression.

A mathematical expression is made up of a statement, at least two integers or variables, and one or more arithmetic operations.

This mathematical operation enables the multiplication, division, addition, or subtraction of numbers. The following is the structure of an expression: Expression: (Number/Variable, Math Operator, Math Operator)

So, we know that:
width = w

And we also know that:

length = 3w + 8

Now, the area formula is:
l*w

Insert values as follows:

l*w

(3w + 8)w

Therefore, the expression that represents the area of the given door is (3w+8)w.

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Answer:

= 12q² - 3

Step-by-step explanation:

3(-4q² - 1)

= -12q² - 3

Step-by-step explanation:

volume = π · r^2 · h

volume = π · 3^2 · 5

volume = π · 9 · 5

volume = π · 45

Answer : 45π

Answer:

C 38.1 ft hope this helps

Answer:

The graph will shift 5 units to the left

As the total of Rita and Shova's current ages is 20, they are both 20 years old.

A mathematical strategy for resolving proportional and ratio issues is called the unitary method. Finding the value of one unit of an amount and using that value to calculate the value of additional units is what this process entails. The foundation of the unitary approach is the idea that if two quantities are equal, then their ratios must also be equal. For instance, if five apples cost $10, then the expense-to-apple ratio is 10/5 = 2. This ratio can be used to calculate the price of a varied quantity of apples.

given

According to the issue statement, Rita was three times as old as Shova when her age and Shova's current age were equal.

R - (S - R) Equals 3(S - R) (S - R)

When we simplify this solution, we obtain:

2R = 4S - 2S

2R = 2S

R = S

As a result, we are aware that Rita and Shova are both currently the same age.

Additionally, we are aware that their combined current ages are 40 years.

R + S = 40

R = S, so we can change S in the second equation to R:

R + R = 40

2R = 40

R = 20

Rita is currently twenty years old. Since R = S, Shova is 20 years old at the moment.

As the total of Rita and Shova's current ages is 20, they are both 20 years old.

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The man's daily wage is given as follows:

$42.

The man's daily wage is obtained applying the proportions in the context of the problem.

The woman receives $24 for 8 hours of work, hence her hourly wage is given as follows:

24/8 = $3 per hour.

Their wages per hour are in the ratio 7:5, hence the man's hourly wage is obtained multiplying the woman's hourly wage by 7/5, hence:

7/5 x 3 = 21/5 = $4.2 per hour.

The man works 10 hours a day, hence the daily wage is given as follows, multiplying the hourly wage by 10:

10 x 4.2 = $42.

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The man's daily wage is $42.

We know that the woman works 8 hours per day and gets $24 per day, then her hourly pay is the quotient between these two values.

$24/8 = $3 per hour.

And we also know that their wages per hour are in the ratio 7: 5.

Then the man's hourly pay 7/5 times the hourly pay of the woman, then we just need to solve the product below:

(7/5)*$3 = x

(7/5)*$3 = $4.2

And the man works for 10 hours, then the daily wage is 10*$4.2 = $42.

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Marginal cost refers to the additional cost of producing one more unit of a product or service.

Marginal cost is the cost of producing one additional unit of a good or service.

In math, marginal cost refers to the additional cost of producing one more unit of a product or service. It is calculated by taking the change in total cost divided by the change in quantity produced.

Marginal cost is an important concept in economics and is used to determine the optimal level of production to maximize profits.

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The distance from the island to Gatsby's dock is 1.3 miles.

A Pythagoras theorem is a principle that can be used to determine the unknown side of a right angled triangle when the other two sides are known.

Applying the Pythagoras theorem to the given question, let the distance from island to Gatsby's dock be represented by s. Then;

/Hyp/^2 = /Opp/^2 + /Adj/^2

s^2 = 1.2^2 + 0.5^2

      = 1.44 + 0.25

      = 1.69

s = 1.69^1/2

  = 1.3

Thus, the straight-line distance from the island to Gatsby's dock is 1.3 miles.

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Answer:

One solution at (2, -1)

Step-by-step explanation:

You will want to write the equations for both pairs of points:

(-2,-3) and (0,-2)

The slope is the change in y over the change in x.  The first number of the ordered pairs is the x value and the second number in the ordered pair is the y values.  Find the change by subtraction

[tex]\frac{-2 - -3}{0 - -2}[/tex] = [tex]\frac{-2+ 3}{0 + 2}[/tex] = [tex]\frac{1}{2}[/tex]

The slope (m) is 1/2.

The y intercept is when x = 0.  In the point (0,-2) x is 0, so the y-intercept is -2.

The y-intercept (b) is -2.

y = mx + b  Substitute 1/2 for m and -2 for b

y = [tex]\frac{1}{2}[/tex]x - 2

(0,3) and (1,1)

The slope is

[tex]\frac{1-3}{1-0}[/tex] = [tex]\frac{-2}{1}[/tex] = -2

The slope is --2.

The y intercept is 3.

y = mx + b  Substitutes -2 for m and 3 for b.

y = -2x + 3

Set the 2 equation equal to each other and solve for x.

-2x + 3 = 1/2 x -2   Multiply all the way through by 2 to clear the fraction.

-4x + 6 = x - 4   Add 4x to both sides

-4x + 4x + 6 = x + 4x -4

6 = 5x -4  Add 4 to both sides

6 + 4 = 5x - 4 + 4

10 = 5x  Divide both sides by 5

2 = x

Take either of the two original equations and substitute 2 for x and solve for y

y = -2x + 3

y = -2(2) + 3

y = -4 + 3

y = -1

The solution is (2,-1)

Helping in the name of Jesus.

Answer:

[tex]1 - 25xy2256xx28( [/tex]