Hannah adjusts photos in her digital
scrapbook. She translates the photo to the
left. Then she dilates the image using a scale
factor of 2 and a center of dilation at the
origin. Hannah thinks the original photo is
congruent and similar to the final image.
Is she correct? Explain your reasoning.

The slope of the given lines are:

Graph 1 = 1/3

Graph 2 = -1/3

Graph 3 = 3

Graph 4 = -3

To find the slope (m) of a given line on a coordinate plane, choose any two points on the line, (x1, y1) and (x2, y2), then find the slope by plugging in the values of the coordinates into the formula below:

Slope of a line (m) = change in y / change in x = \(\frac{y_2 - y_1}{x_2 - x_1}\).

Find the slope of Graph 1:

Using two points on the line, (0, 0) and (3, 1):

Slope of graph 1 (m) = (1 - 0)/(3 - 0)

Slope of graph 1 (m) = 1/3

Find the slope of Graph 2:

Using two points on the line, (0, 0) and (-3, 1):

Slope of graph 2 (m) = (1 - 0)/(-3 - 0) = 1/-3

Slope of graph 2 (m) = -1/3

Find the slope of Graph 3:

Using two points on the line, (0, 0) and (1, 3):

Slope of graph 3 (m) = (3 - 0)/(1 - 0) = 3/1

Slope of graph 3 (m) = 3

Find the slope of Graph 4:

Using two points on the line, (0, 0) and (-1, 3):

Slope of graph 4 (m) = (3 - 0)/(-1 - 0) = 3/-1

Slope of graph 4 (m) = -3

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5.009, 5.09, 5.3, 5.3071.

The probability of getting 2 tails is option (b) 37.5%

The event of "2 tails" can occur in three possible outcomes: {htt, tht, tth}, so the probability of getting 2 tails is the sum of the probabilities of these three outcomes.

Each toss of a fair coin is independent and has a 50% chance of landing tails. Therefore, the probability of each of these three outcomes is:

P(htt) = 1/2 × 1/2 × 1/2 = 1/8

P(tht) = 1/2 × 1/2 × 1/2 = 1/8

P(tth) = 1/2 × 1/2 × 1/2 = 1/8

So, the probability of getting 2 tails is:

P(2 tails) = P(htt) + P(tht) + P(tth) = 1/8 + 1/8 + 1/8 = 3/8

= 0.375

0.375 multiplied by 100% gives:

P(2 tails) = 37.5%

Therefore, the correct option is (b) 37.5%

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Since P is a point of tangency of the circumference O, then the angle OPQ is a right angle.

Then, the triangle OPQ is a right triangle. Use the Pythagorean Theorem to write an equation for r. Then, solve that equation.

Since OQ is the hypotenuse of OPQ, then:

Since OP=r, OQ=r+9 and PQ=15, then:

Expand the quadratic binomial on the right member of the equation:

Since the term r^2 appears on both sides, simplify the equation:

Simplify all terms and solve for r:

Therefore, the radius of the circumference is:

Answer:

\(A = w^2 + 38w + 352\)

Step-by-step explanation:

Area of a Rectangle

Given L as the length of a rectangle and W as its width, the area is calculated as:

A = L.W

Bob's swimming pool has L = w + 14 and a width of W = w + 8. Additionally, there is a walkway around the pool 4 feet wide. This walkway adds 2*4=8 to each dimension, thus: L = w + 22, W = w + 16.

Calculating the area:

A = (w + 22)(w + 16)

Operating:

\(A = w^2 + 38w + 352\)

The value of the radioactive material will 35.41 grams after 30 years.

Given is table, we need to find an exponential equation for the same,

The exponential equation is given by, y = abˣ

Here,

Fitted coefficients:

a = 99.98

b = 0.966

Exponential model:

y = 99.98 · 0.966ˣ

Now, to find for 30 years, put x = 30,

So,

y = 99.98 · 0.966⁽³⁰⁾

y = 35.41

Hence the value of the radioactive material will 35.41 grams after 30 years.

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Answer: 0.07 x 5

There are 35 colored out of the 100 = 35%

35% = 0.35 = 0.07 x 5

The trigonometric ratios are presented in this answer.

The three trigonometric ratios are defined as follows:

The hypotenuse is the slanted segment connecting the horizontal segment and the vertical segment.

The adjacent side to an angle x is the side length between the angle x and the angle of 90º.

The opposite side to an angle x is the side length between the angle 90 - x and the angle of 90º.

The problem is incomplete, hence the important concepts of trigonometric ratios were presented.

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Answer:

5/9

Step-by-step explanation:

There are 9 marbles total (3+4+2). There are 2 green marbles and 3 blue marbles (not red). The total fraction will be 5/9.

Answer:

-17 z - 6 y - 7 x + -18

Step-by-step explanation:

Simplify the following:

x + 6 y - 7 z + 2 - 8 x - 12 y - 10 z - 20

Hint: | Group like terms in x + 6 y - 7 z + 2 - 8 x - 12 y - 10 z - 20.

Grouping like terms, x + 6 y - 7 z + 2 - 8 x - 12 y - 10 z - 20 = (-7 z - 10 z) + (6 y - 12 y) + (x - 8 x) + (2 - 20):

(-7 z - 10 z) + (6 y - 12 y) + (x - 8 x) + (2 - 20)

Hint: | Combine like terms in -7 z - 10 z.

-7 z - 10 z = -17 z:

-17 z + (6 y - 12 y) + (x - 8 x) + (2 - 20)

Hint: | Combine like terms in 6 y - 12 y.

6 y - 12 y = -6 y:

-17 z + -6 y + (x - 8 x) + (2 - 20)

Hint: | Combine like terms in x - 8 x.

x - 8 x = -7 x:

-17 z - 6 y + -7 x + (2 - 20)

Hint: | Evaluate 2 - 20.

2 - 20 = -18:

Answer: -17 z - 6 y - 7 x + -18

Answer:

-32

Step-by-step explanation:

5x/3 - 2

5(-18)/3 - 2

-90/3 - 2

-30 - 2

-32

Answer:

Step-by-step explanation:

Answer:

D: 4(2a+3)=8a+3

Step-by-step explanation:

4x2a = 8a and 4x3 = 12

Answer:

just saying this so other can get brainliest

Step-by-step explanation:

d

You can suggest that managers should avoid the quick-fix mentality that makes management by best-seller so tempting by implementing the following strategies:

1. Understand the Unique Nature of Your Business: Managers should take the time to understand the unique nature of their business. They should realize that what worked for another company may not work for their own company.

2. Avoid Short-Term Solutions: Managers should avoid short-term solutions that provide quick results. They should focus on long-term solutions that will benefit the organization in the long run.

3. Develop a Comprehensive Strategy: Managers should develop a comprehensive strategy that includes long-term goals and objectives. They should also have a plan in place to achieve those goals.

4. Invest in Employee Development: Managers should invest in employee development by providing training and development opportunities. This will help to build a strong workforce that is capable of handling complex challenges.

5. Encourage Collaboration: Managers should encourage collaboration among team members. This will help to create a culture of teamwork and cooperation.

6. Monitor Progress: Managers should monitor progress and adjust strategies as necessary. This will help to ensure that the organization is on track to achieving its goals.

By following these strategies, managers can avoid the quick-fix mentality that makes management by best-seller so tempting. They can focus on long-term solutions that will benefit the organization in the long run.

Hope this helped you...

The measures of the larger angles are 130°, and the measures of the smaller angles are 50°

Vertically opposite angles are angles that shares the same vertex point . Vertically opposite angles are congruent.

Therefore, the angles 3y + 11 and 4x - 22 are vertical angles and 10y and 7x + 4 are vertical angles.

Hence,

10y = 7x + 4

10y - 7x = 4

3y + 11 = 4x - 22

3y - 4x = - 33

Combine the equation

10y - 7x = 4

3y - 4x = - 33

multiply equation(ii) by 1.75

10y - 7x = 4

5.25y - 7x = - 57.75

subtract the equation

4.75y = 61.75

y = 61.75 / 4.75

y = 13

Therefore, let's find x

10(13) = 7x + 4

130 - 4 = 7x

7x = 126

x = 126 / 7

x = 18

Hence,

10y = 10(13) = 130 degrees

(3(13) + 11) = 50 degrees

Therefore,

larger angle = 130°

smaller angle = 50°

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Answer:

See the attached image.

Step-by-step explanation:

Remember the equation of the line is y = mx + b.

m = 3/2 (slope) ... rise/run. up 3 over 2.

b = -5 (y-intercept)

*These lines go on forever.

The graph of the line y = (3/2)x - 5 is given below.

Given that:

Equation of the line is y = (3/2)x - 5

The linear equation is given as,

x/a + y/b = 1

Where 'a' is the x-intercept of the line and ‘b’ is the y-intercept of the line.

Convert the equation into intercept form, then we have

y = (3/2)x - 5

(3/2)x - y = 5

x / 3.33 + y / (-5) = 1

The graph of the line is given below.

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Answer:  14.5185185185

11 1/3 + 10 5/9 - 7 10/27 = 392/27 = 14 14/27 ≅ 14.5185185

Answer:

I'm sure it is 7.02!

Step-by-step explanation:

Step-by-step explanation:

I might be think it is 7/1 hope this helps

Answer: X=12

→Hope this helps!←

The distributions that a person  would be more likely to find the mean and median the same is  (E) A, B, and C.

The term  frequency distribution is known to be commonly used in statistics.

It is seen as a graph or data set that is put together to depict the frequency of  the occurrence of all the possible outcome of any kind of repeatable event that is seen to be observed a lot of times.

Note that from the image attached, you can see that the points ranges from 20 -30 and the heights of measurement is similar across all of them.

Therefore, The distributions that a person  would be more likely to find the mean and median the same is  (E) A, B, and C because the same value is used.

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Answer:

not rational

Step-by-step explanation:

Answer:

Rational

Step-by-step explanation:

119/8 is it in fractional form.

Answer:

24 weeks

Explanation:

Let w represent the number of weeks Maribeth has been saving.

If she saves $25 per week and has saved a total of $600, we can find w as follows;

Answer:

P(-4,-0.5)

Step-by-step explanation:

First, let's define some ways to measure a line segment on a number line:

Let's apply these methods to solve for the coordinates of point P:

Let the distance between X and P be "d". Think of "d" as the number you'd get when counting the tick marks.

Let the distance between P and Y be "l". Think of "l" as the number you'd get when counting the tick marks.

It is given that P partitions the segment into the ratio 1:5.

\(\frac{d}{l} = \frac{1}{5}\)

∴ \(5d = l\)

Now, set up the equation to find the distance between X and P and P and Y. Let (x,y) be the coordinates for P

(-6,-2) + d = (x,y) . . . . . .  (1)

(x,y) + 5d = (6,7) . . . . . . (2)

Next, substitute (x,y) from equation no. 1 to equation no. 2.

(-6,-2) + d + 5d = (6,7)

(-6,-2) + 6d = (6,7) . . . . . . . add like terms (terms with the same variable)

6d = (6+6, 7+2) . . . . . . . . . add (-6, -2) on both sides

6d = (12,9)

d = (2, 3/2) . . . . . . . . . . . . . divide both sides by 6 to isolate d

Finally, substitute d back into one of the equations and solve for (x,y). I am going to choose equation no.1, but you can also choose equation no.2.

(-6,-2) + d = (x,y)

(-6,-2) + (2,3/2) = (x,y)

-6 + 2 = x

∴ x = -4

-2 + 3/2 = y

∴ - 0.5 = y

∴P(-4,-0.5)

I have also attached my working and the figure of the segment to this response.

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The distance between point P and line l is

1. Distance = 2√2

2. Distance =0

3. Distance =6

4. Distance =1

5. Distance =√10

To find the distance between a point and a line, we can use the formula for the distance between a point and a line in the coordinate plane. The formula is:

Distance = |Ax + By + C| / √(A² + B²)

1. Line & contains points (0, -3) and (7, 4). Point P has coordinates (4,3).

The equation of the line is y = x - 3. We can rewrite it as x - y + 3 = 0.

So, Distance = |4 - 3 + 3| / √(1² + (-1)²)

= |4| / √2

= 4 / √2

= 2√2

2. Line & contains points (11, -1) and (-3, -11). Point P has coordinates (-1, 1).

The equation of the line is y = -2x - 1. We can rewrite it as 2x + y + 1 = 0.

So, Distance = |2(-1) + 1 + 1| / √(2² + 1²)

= |-2 + 2| / √5

= 0 / √5

= 0

3. Line & contains points (-2, 1) and (4, 1). Point P has coordinates (5, 7).

The equation of the line is y = 1.

So, Distance = |0(5) + 7 - 1| / √(0² + 1²)

= |6| / √1

= 6

4. Line & contains points (4, -1) and (4, 9). Point P has coordinates (1, 6).

The line is vertical, and its equation is x = 4.

so, Distance = |1 - 4 + 4| / √(1² + 0²)

= |-1| / √1

= 1

5. Line & contains points (1, 5) and (4, -4). Point P has coordinates (-1, 1).

The equation of the line is y = -3x + 8.

So, Distance = |3(-1) + 1 - 8| / √(3² + 1²)

= |-3 - 7| / √10

= |-10| / √10

= 10 / √10

= 10√10 / 10

= √10

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The quadrilateral with no pair of parallel sides is trapezium

Given data ,

A = a quadrilateral with no pair of parallel sides

This type of quadrilateral is called a trapezium. In some countries, a trapezium is defined as having exactly one pair of parallel sides, while in other countries, a trapezium is defined as having at least one pair of parallel sides.

In any case, a quadrilateral with no pair of parallel sides is not considered a trapezium. Instead, it is known as a general quadrilateral.

There are three types of trapezoids , and those are given below:

a) Isosceles Trapezoid

b) Scalene Trapezoid

c) Right Trapezoid

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Given data:

The list and the measurment of ingredients used to make 16 brownies is as follows.

Butter = 2/3 cups.

unsweetended choclolate = 5 ounces.

sugar = 1 1/2

vanilla = 2 tablespoons.

egg = 2

flour = 1 cup

to find the recipe, ingredients used to make 8 brownies.

Reduce the measure by half,. that is dividing it by 2.

thus,

Butter =1/3

unsweetended choclolate= 2.5 ounces

sugar = 3/4 cup

vanilla = 1 tablespoon.

egg =1

flour= 1/2 cup.

It is difficult to accurately predict how many students will be ill on Tuesday and Wednesday based solely on the information that 20% were ill on Monday.

However, if we assume that the illness rate remains relatively constant, we can estimate that approximately 20% of students will also be ill on Tuesday and Wednesday. This equates to a fraction of 1/5 or a percentage of 20%. However, it is important to keep in mind that illness rates can vary greatly and this is just an estimate.

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Answer:

6/8

Step-by-step explanation:

3/4

Multiply by 2/2

3/4 *2/2 = 6/8

Answer:

i think its 3 if im not mistaken

Step-by-step explanation: