Criteria: I can explain what happens to lines and angles in a dilation.
Triangle DEF is a scaled copy of Triangle ABC}, answer the following question equations that could be used to solve for x.

To calculate the height of the model, the architect should [divide] the actual height of the building by [10]

The height of the model is [6] inches.

A scale is a factor by which a quantity is multiplied or divided in order to change its magnitude. Scales are commonly used to change the size of a figure without changing its shape or orientation.

Given:

A scale = 1 inch represents 10 feet

The height of the actual building = 60 feet

Since the model is a smaller version of the actual building, in order to get the height of the model, you have to divide the height of the actual building by the scale (10).

Thus,  height of the model = 60/10 = 6 inches

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Answer:

[tex]\frac{-1}{3}[/tex]

Step-by-step explanation:

7 - 9x = 10  Subtract 7 from both sides of the eqaution

-9x = 3  Divide both sides by -9

x = [tex]\frac{-3}{9}[/tex] = [tex]\frac{-1}{3}[/tex]

Solving the proportion 22 miles/ 55 hours :: 12 miles/ k hours using cross products, value of h is 30.

Comparing two integers that each stand for a component of a whole results in a proportion. In essence, a percentage declares that two fractions are equal, regardless of the difference in amount. For instance, the ratio of half of 10 marbles to half of 50 marbles is 10. When determining if two ratios or fractions are equivalent, the proportion formula is utilized. By dividing the supplied values, we may determine the missing value. One way to express the percentage formula is as a: Whereas a and d are the extreme terms and b and c are the mean terms, b::c: d = a/b = c/d.

Given,

22 miles/ 55 hours = 12 miles/ k hours

Solving the proportion using cross products,

22 × h = 12 × 55

22 × h = 660

h = 660 ÷ 22

h = 30

Solving the proportion 22 miles/ 55 hours :: 12 miles/ k hours using cross products, value of h is 30.

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Answer:

The answer to the linear equation y = 2x + 6 is (x, y) = (1, 2.5). This means that if we plug in x = 1 into the equation, we get y = 2.5.

Step-by-step explanation:

To find the solution to the linear equation y = 2x + 6, we can first rewrite the equation in slope-intercept form. This is done by rearranging the equation to have the form y = mx + b, where m is the slope of the line and b is the y-intercept.

In this case, we have y = 2x + 6. To put this equation in slope-intercept form, we need to isolate the y-term on one side of the equation. We can do this by subtracting 2x from both sides, which gives us y - 2x = 6.

Next, we need to divide both sides of the equation by the coefficient of the y-term, which is -2 in this case. This gives us the equation y = -(1/2)x + 3.

Finally, we can plug in any value of x that we want to find the corresponding value of y. For example, if we plug in x = 1, we get y = -(1/2) * 1 + 3 = 2.5. Therefore, the solution to the equation y = 2x + 6 is (x, y) = (1, 2.5).

In general, if we want to find the solution to a linear equation in slope-intercept form, we can plug in any value of x that we want to find the corresponding value of y. This process is called graphing the line, and it is a useful way to visualize the solutions to linear equations.

computer is not intelligence why

f(x) = -Lxl is the function and -3 ≤x≤3 is the domain that could represent the given graph .

What is a function ?

Function is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

What is a domain ?

The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x). The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we plug an x value in.

Thus , from the graph it can be clearly depicted that it is representing f(x)=-Lxl for an entire range of  -3 ≤x≤3 .

Hence , f(x) = -Lxl is the function and -3 ≤x≤3 is the domain that could represent the given graph .

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Answer:

c

Step-by-step explanation:

just did assignment

Answer:

A. £48.36

B. £129.12

C. £158.22

D. £345.93

Step-by-step explanation:

Divide by two and add the quotient for each question to get the answer.

The parallelogram ABCD with vertices A(-8, 5), B(-7, 8), C(-1,6), and D(-2, 3) is a rectangle as two sides are equal, so option A is correct.

A unique kind of quadrilateral created by parallel lines is called a parallelogram. A parallelogram can have any angle between its neighboring sides, but for it to be a parallelogram, its opposite sides must be parallel.

Given data:

The parallelogram ABCD with vertices A(-8, 5), B(-7, 8), C(-1,6), and D(-2, 3),

Calculate the distance of sides as shown below

[tex]AB = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

AB = [tex]\sqrt{[-7-(-8)]^2 + (8-5)^2}[/tex]

AB =  √(1² + 3²)

AB = √10

Calculate

BC = [tex]\sqrt{[-1-(-7)]^2+(6 - 8)^2}[/tex]

BC = √(36 + 4)

BC = √40 or 2√10

Similarly,

CD = √10

And AD = 2√10

Here AB = CD and BC = AD, opposite sides equal, so it is a rectangle. Therefore, the parallelogram ABCD with vertices A(-8, 5), B(-7, 8), C(-1,6), and D(-2, 3) is a rectangle as two sides are equal.

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The percentage of the increment in Hohn's salary will be 3.35%.

The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates to one hundred percent. It is symbolized by the character '%'.

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value x 100

John's compensation is $25.38 for each hour. He receives a pay increase of $0.85

The percentage of the increment is calculated as,

P = (0.85 / 25.38) / 100

P = 0.0335 x 100

P = 3.35%

The percentage of the increment in Hohn's salary will be 3.35%.

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Answer:

Step-by-step explanation:

y=-10x1 = -10

y intersects at -10 as a horizontal line.

The linear function that has the greatest initial value is Function C.

Function B has the greatest rate of change.

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

Function A:

The initial value is o.

f(0) = 0

The rate of change.

= (f(4) - f(2)) / 4 - 2

= (10 - 5) / 2

= 5/2

= 2.5

Function B:

The initial value is

y = 3x - 1

y = 3 x 0 - 1 = 0 - 1 = -1

Let y = f(x)

The rate of change.

= (f(2) - f(1)) / (2 - 1)

= (5 - 2) / 1

= 3

Function C:

The initial value is 2.

(0, 2) is considered as when x = 0, y = 2.

Take two coordinates from the graph.

(3, 3) and (6, 4)

The rate of change.

= (4 - 3) / (6 - 3)

= 1/3

= 0.33

Thus,

Function C has the greatest initial value.

Function B has the greatest rate of change.

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the answer is 4/5 this is know to be hard

Answer:

Step-by-step explanation:

AV is an angle bisector. Lets name the intersection between AV and OU Y. Hence, OY=UY. We substitute and get :

7x+2=3x+10  |-3x

4x+2=10   |-2

4x=8  | /4

x=2

Answer:

w = 3/5

Step-by-step explanation:

Given equation,

→ 5w = 3

Now the value of w will be,

→ 5w = 3

→ w = 3 ÷ 5

→ [ w = 3/5 ]

Hence, the value of w is 3/5.

Answer:

The probabilities are:

1. 1/6

2. 1/2

3. 9/14

4. 0

5. 1

So ordering from least to most probable:

4. 7 on a 6 sided die

1. 4 on a 6 sided die

2. heads with a coin

3. red or green marble

5. <7 on a 6 sided die.

Step-by-step explanation:

1. The probability of rolling 4 on a 6-sided die is 1/6, as each side is equally probable.

2. The probability of flipping a coin onto heads is 1/2, as there are 2 equally probable outcomes.

3. The probability of drawing red or green out of 6 red, 5 blue, 3 green is 9/14 (9 positive outcomes out of 14).

4. The probability of rolling a 7 with a 6 sided die is 0, as there is no such number on the die.

5. The probability of rolling a number less than 7 on a 6 sided die is 100%, or 1, because any outcome is positive (we can only roll numbers smaller than 7).

The probabilities are:

1. 1/6

2. 1/2

3. 9/14

4. 0

5. 1

So ordering from least to most probable:

4. 7 on a 6 sided die

1. 4 on a 6 sided die

2. heads with a coin

3. red or green marble

5. <7 on a 6 sided die.

Answer:

Step-by-step explanation:

all creds to person above

Answer:The correct anserw is B.

Step-by-step explanation:

The outpatient surgery as the percent of total surgeries in the year 1996 is 86 %

The opposite of an exponential function is a logarithmic function. A log function and an exponential function both use the same base. An exponent is a logarithm. f(x) = bx is how the exponential function is expressed. The formula for the logarithmic function is f(x) = log base b of x.

According to the given information

Consider the logarithmic function:

[tex]f(x)=-1311+306 \ln x[/tex]

Here x is the number of years since 1990 and f(x) is the outpatient surgery as the percent of total surgeries.

In the year 1996:

[tex]& x=96 \\[/tex]

[tex]& f(96)=-1311+306 \ln (96) \\[/tex]

        [tex]& =-1311+1396.69 \\[/tex]

        [tex]& =85.69 \\[/tex]

        [tex]& \approx 86 \\[/tex]

Thus,

The outpatient surgery as the percent of total surgeries in the year 1996 is 86 %

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Answer:

y=45x-540

Step-by-step explanation:

The required number of people who voted for yes is 3665.

The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.

here,

As mentioned in the question,
The people residing in the city voted on whether to raise property taxes. The ratio of yes to no is 5 to 4.

The multiplication of the proportion of yes to the total proportion of total votes gives the number of people who voted for yes.

The ratio of people yes to no = 5:4
Proportion of yes voted people = 5 / 9
The number of people who voted for yes = 5 / 9 × 6597 = 3665.

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Answer:

37?

Step-by-step explanation:

Answer:

196

Step-by-step explanation:

[tex](18-4){2}[/tex] = (18-4) x (18-4) = 14 x 14 = 196

Answer:

  0.17

Step-by-step explanation:

You want the probability that a randomly chosen 8th grader will play the guitar.

The table tells us that there are 4 eighth grade students that play the guitar. The total number of eighth grade students is 4+10+6+3 = 23. When one is chosen at random, the probability they play the guitar is ...

  (4 students)/(23 students) = 4/23 ≈ 0.17

The probability an 8th grader will play the guitar is about 0.17.

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Step-by-step explanation:

because it is an isoceles triangle (both legs are equally long), also both side angles on the baseline must be equally large.

so, we have

4x + 3 = 2x + 29

4x = 2x + 26

2x = 26

x = 26/2 = 13

41 = 3y + 2

39 = 3y

y = 39/3 = 13

Answer: c

Step-by-step explanation:

The candy box has 46 chocolate bars and 92 milk bars.

Given is that there are two times the amount of milk chocolate bars as there are dark chocolate bars in a box. There are a total of 138 candy bars in the box.

Assume that there are [x] chocolate bars in the box. Then, there will be [2x] milk bars. So, we can write -

2x + x = 138

3x = 138

x = 138/3

x = 46

Therefore, there are 46 chocolate bars and (2 x 46) or 92 milk bars in the candy box.

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The gamma as well as Poisson distributions have an intriguing link. For each x, P(X x) = P(Y x), (1) where Y Poisson(x/), if X is a gamma(x, y) random variable and x is an integer.

The probability density function f(x)=e−μμxx!, which approximates the binomial distribution and is frequently employed as a mathematical model of something like the number of outcomes acquired in an appropriate period of time and space, has a mean equal to its variance.

A Poisson distribution can be used to forecast or explain how many events will take place over a specific period of time or space. "Events" might include anything from illness occurrences towards to customer purchases to meteor strikes. Any defined period of time or area, such as 10 days or 5 square inches, can be used as the interval.

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Answer:

what is the question please ask properly

Answer:

volume = 3750 m³

Step-by-step explanation:

volume = length × width × height

volume = 50 m × 25 m × 3 m

volume = 3750 m³

Answer:

-5/3

Step-by-step explanation:

trust me bro

Answer:

Use desmos

Step-by-step explanation:

Basically it is a graphing calculator put your points

Answer:

631, 633, 635

Step-by-step explanation:

Odd numbers exists in AP with common difference of 2.

That is; 1, 2, 5, 7 etc

So lets say the middle number of the three consecutive numbers is x, the next number to it Will be (x+2), and the previous number will be (x-2)

Therefore, the sequence is (x-2), x, (x+2) ... (1)

and the series will be, (x+

-2) + x + (x+2) = 1899

Solve for x;

x + x + x - 2 + 2 = 1899

3x + 0 = 1899

x = 1899 ÷ 3

x = 633

Therefore the consecutive odd numbers (following 1) is: (633 - 2), 633, (633+2) = 631, 633, 635

Answer:

  3.  (x, y) = (20, 30)

  4.  (x, y) = (30, 4)

Step-by-step explanation:

You have equilateral triangles in two different configurations, and you want to find the values marked x and y.

All of the angles marked with an arc are congruent, so all are 60°. The angle marked 80° is an external angle to the top/left triangle. Its value is the sum of the values of the remote interior angles:

  80° = 60° +x°

  20° = x° . . . . . . . subtract 60°

  x = 20

The sides of the equilateral triangle are congruent, so all are length 46. That means the right side is ...

  16 +y = 46

  y = 30 . . . . . . . subtract 16

  (x, y) = (20, 30)

All of the angles marked with an arc are congruent, so all are 60°. The top 60° angle of the equilateral triangle is an external angle to the isosceles triangle at top/right. Its two base angles are the remote interior angles with respect to that 60° exterior angle, so their sum is 60°:

  x° +x° = 60°

  x = 30

The two marked legs of the isosceles triangle are both 20, which means all sides of the equilateral triangle are length 20.

  5y = 20

  y = 4 . . . . . . . divide by 5

  (x, y) = (30, 4)

The number of b the machine can make each minute are 40.

What is machine?

A physical system known as a machine uses power to apply forces, regulate movement, and carry out an action. In addition to naturally occurring biological macromolecules like molecular machines, the term is frequently used to describe artificial devices that use engines or motors.

Given:

The graph shows the relationship between time and the number of soda bottles a machine can make.

We have to find the number of soda bottles the machine can make each minute by using the points (3, 120) and (7, 280).

Let x is the time in minutes and y is the number of soda bottles.

From the given points in 3 minutes machine can make 120 soda bottles.

So, in each minute machine can make 120/3 = 40 soda bottles.

Hence, the number of b the machine can make each minute are 40.

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Complete question:

Complete question is attached below.