In the graph below,
triangle ABC is the preimage of triangle DEF
. How can you prove that these two triangles are congruent? Explain and then carry out your method.

Answer:

The point-slope form of the equation of a line is given by y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope of the line. In this case, we have a point (-1,-2) and a slope of 3. Substituting these values into the equation, we get:

y - (-2) = 3(x - (-1))

Simplifying this equation, we get:

y + 2 = 3(x + 1)

So, the equation for the linear function whose graph contains the point (-1,-2) and has a slope of 3 is y + 2 = 3(x + 1).

Answer:

13/8 in

Step-by-step explanation:

1) Since you know that there are 2 sticks with a length of 1/8 in, 3 sticks with a length of 2/8 in, and 1 stick with the length of 5/8 in, we need to add them together.

2) They have the same denominator, so we can add the fractions together easily. 1/8+1/8+2/8+2/8+2/8+5/8=13/8

Answer: m = 4/5

Step-by-step explanation:

Use the slope formula

[tex]y_{2}-y_{1}/ x_{2} - x_{1}[/tex]

Let's plug in the points:

5 - 1 / 8 - 3

4/5

So, m=4/5

Answer:

A) [tex]\frac{4}{5}[/tex]

Step-by-step explanation:

Slope formula given 2 points:
[tex]\frac{y_{2}-y_{1}}{x_{2}-x_1}[/tex]

Our points are (8,5) and (3,1)

Substitute:

[tex]\frac{1-5}{3-8} \\=\frac{-4}{-5}[/tex]

negatives cancel out:
=[tex]\frac{4}{5}[/tex]

Hope this helps! :)

Answer:

Hello, for the first one, the answer should be (C) 3

The following transformation is an enlargement, meaning it would get bigger. Meaning that the scale factor increases by 3.

2x3=6

3x3=9

Therefore, the scale factor is (C) 3.

#5: The answer is (D): 4

Since this is an enlargement, we have to determine what ? x 6 = 24 is. Since the height of the photo is 6, we can conclude that 6 x 4 = 24.

Therefore, the answer is (D): 4

Hope this helped! Sorry for the complications <33

Answer:

A and C

Step-by-step explanation:

The first question will be A because V = lwh

V = lwh

V = 6 x 3 x 4

V = 72cm²

Therefore making the answer to the second question C.

Answer: 1.6 x 10x10x10

Step-by-step explanation:

The exponent (3) signifies that you should write three tens.

1.6 x 10³ is written in standard form as 1600.

Scientific notation is a way of writing very large or very small numbers It is usually used to depict microscopic or macroscopic objects. A number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10.

        Scientific forms of numbers are compact and take up less space. They are raised to exponents, whereas standard forms are complex and provide the numerical notation taking up more space.

According to the given question the number 1.6×10³ is written in scientific form we have to convert this number into standard form.

We know 10³ = 1000.

∴ 1.6×10³ = 1.6 × 1000.

= 1600.

To learn more about scientific notation and standard forms,

https://brainly.com/question/18073768

Answer:

-{2√7} or {2√7}

Step-by-step explanation:

1) Simplify the exponents 6^2 and 8^2 by multiplying 6*6=36 and 8*8=64.

2) Write an equation, 36+b^2=64

3) Subtract 36 from both sides, b^2=28

4) Apply a square root to both sides, √(b^2)=√(28)

5) Simplify the equation, b=-√(28) or b=√28

6) If you want, factor the square root by finding a factor that is a square number, -{√(4)*√7} or  {√(4)*√7};  -{2√7} or {2√7}

Answer:

The experimental probability of an event is the ratio of the number of times the event occurs to the total number of trials or observations.

In this case, the event is choosing a monitor with no defects, and the number of times the event occurs is 45. The total number of monitors is 50.

So, the experimental probability of choosing a monitor with no defects is:

45/50 = 0.9

Therefore, the experimental probability that a monitor chosen at random has no defects is 0.9 or 90%.

Explanation:

hope it's correct

Answer:

Step-by-step explanation:

1. The base of the pyramid is a square so the base of all of the triangles will be 14in.

2. Since the height of the triangle is 4in, the area of 1 triangle will be (14x4)/2 which is 28in^2.

3. Because we are finding lateral area we only need to find the area of the triangles so you do 28x4 which is 112in^2.

Another easy way to find the lateral area of a pyramid is by finding the perimeter of the base which in this case is 56, multiplying it by the slant height which in this case is 4 and dividing by 2. The equation would be (56x4)/2 which is also 112.

Answer:

$20 per week

Step-by-step explanation:

w means weeks, so the 20 could not mean weeks. The 20 is how much money is earned each week.

Answer: 75%

Step-by-step explanation: most numbers seem to repeat so it might happen more often

Answer:

B) 540

Step-by-step explanation:

To find the sum of interior angles of a polygon, we can use the following formula:

(n-2)·180, where n is the number of sides the polygon has.

In this case, this polygon has 5 sides, which makes it a pentagon.

(n-2)·180

substitute

(5-2)·180

simplify

3·180

=540

So, the total sum is 540°.

Hope this helps! :)

Answer: B) 540 degrees

Step-by-step explanation:

The formula for interior angles of a polygon is 180(n-2). N is the number of sides.

Plug the given values into the equation:

180(5-2)=180*3=540

The sum of exterior angles of any polygon is 360 degrees. This problem didn't specify, so I would assume it's talking about interior angles, so the answer would be 540 degrees.

Answer:

C. 19.5

Step-by-step explanation:

I'm 99.9% sure this is correct!

STOMP IF I'M WRONG!

have a good day/night!

Answer: The answer is that the date is skewed left...

Step-by-step explanation: It's ironic, but if it's "heavier" on the left side, the data is right skewed, and vice versa.

Answer:

y=x+32

Step-by-step explanation:

The initial value is the y-value when the x-value equals zero. In this case, the initial value is 32. In the equation y=mx+b, the initial value is the "b."

The slope is going to be the y-value divided by the x-value.

Count how many numbers to x-value goes up or down. In this case, it's positive 1. Count how many numbers the y-value goes up or down. In this case, it's also positive 1.

Now, divide the y-value by the x-value. It's 1/1, which equals 1.

So, that means that y=x+32 is the answer.

Answer:

To show that a reflected object is congruent to its preimage, follow these steps:

Identify the line of reflection.

Locate corresponding points on the preimage and its reflection.

Measure the distances between the line of reflection and the corresponding points.

Compare the distances for each corresponding point.

If the distances are equal, the reflected object is congruent to the preimage.

Step-by-step explanation:

Step-by-step explanation:

To show that a reflected object is congruent to its preimage, you need to demonstrate that the reflected object and the preimage have the same size and shape. Here's how you can do it:

1. Identify the preimage

2. Determine the line of reflection

3. Reflect the preimage

4. Compare corresponding points

5. Check angles

6. Verify sides

7. State the conclusion

By following these steps and ensuring that all corresponding points, angles, and sides are congruent, you provide a specific and comprehensive demonstration that the reflected object is congruent to its preimage.

Answer:

B. 216

Step-by-step explanation:

the formula for this is (S1+S2+S3) L+ BH

so when we plug that in it would be

(5+6+5)12+6*4

and when that is solved it ends up being 216

Answer:

0.99

Step-by-step explanation:

To find the experimental probability, divide the number of can openers that passed inspection by the total number of can openers in the batch:

Passed inspection: [tex]19,354 -253=19.101[/tex]
Experimental probability: [tex]19,101[/tex]÷[tex]19,354=0.987[/tex]
Which rounded to the nearest hundredth is 0.99

Answer:

The customer ratings for the fidget toy sold by the online store can be represented using a frequency table. The table displays the frequency or count of each rating category, ranging from 1 star to 5 stars. Here's an example of how the frequency table might look:

Rating Frequency

1 star 10

2 stars 20

3 stars 30

4 stars 15

5 stars 25

In this example, the frequency table indicates that there were 10 customers who rated the fidget toy as 1 star, 20 customers who rated it as 2 stars, 30 customers who rated it as 3 stars, 15 customers who rated it as 4 stars, and 25 customers who rated it as 5 stars.

By organizing the ratings into a frequency table, it becomes easier to analyze the distribution of ratings and understand the overall customer satisfaction for the fidget toy.

Step-by-step explanation:

Answer: 22.5 pounds

Step-by-step explanation:

The computation of the weight of the block of gel is shown below:

As we know that

Volume = (length) (width) (height)

= (20) (6 ) (6)

= 720 cubic inches 

Now we have to convert into cubic foot

As we know that

1 ft = 12 inches

So 1ft^3 = 12 inches^3

= 1728 inches ^3
Now

= 720 × 1 cubic foot ÷ 1728 cubic inches

= 5 ÷ 12

Now the weight is = 54 × 5 ÷ 12= 

22.5 pounds

Answer:

352

Step-by-step explanation:

The formula is 1/2(B1 + B2)H  

1/2(13 + 31)16  

1/2(44)16  

1/2(704)  

352

Answer:

Step-by-step explanation: 352ft^2 A=a+b

2h=13+31

2·16=352

Answer:

35

Step-by-step explanation:

4 x 2.5 for the triangles is 10

and half of 10 is 5  

5 + 5 = 10  

5 x 5 = 25  

25 + 10 = 35  

The answer is 35.

Answer:

A = 30cm²

Step-by-step explanation:

First, let's find the area of the triangle

Formula: 1/2 bh

The base is half of 5, which is 2.5

A = 1/2 (2.5)(4)

A = 5cm²

Next, let's find the area of the rectangle

Formula: bh

Base = 5cm

Height = 5cm

A = bh

A = (5)(5)

A = 25cm²

Now you add those two.

25 + 5 = 30cm²

A = 30cm²

Answer:

45

Step-by-step explanation:

The Allstars team has the higher mean and median compared to Champs team. Therefore, the Allstars has the tallest players.

By using mean and median, we can know which team typically has the tallest players

For the Allstars:

Mean: The mean height of the Allstars team is obtained by summing up all the heights and dividing by the total number of players:

Mean = (73 + 62 + 60 + 63 + 72 + 65 + 69 + 68 + 71 + 66 + 70 + 67 + 60 + 70 + 71) / 15 ≈ 67.1 inches

Median: The median height of the Allstars team is the middle value when the heights are arranged in ascending order:

Arranging the heights in ascending order: 60, 60, 62, 63, 65, 66, 67, 68, 69, 70, 70, 71, 71, 72, 73

Median = 68 inches

For the Champs:

Mean: The mean height of the Champs team is obtained by summing up all the heights and dividing by the total number of players:

Mean = (62 + 69 + 65 + 68 + 60 + 70 + 70 + 58 + 67 + 66 + 75 + 70 + 69 + 67 + 60) / 15 ≈ 66.4 inches

Median: The median height of the Champs team is the middle value when the heights are arranged in ascending order:

Arranging the heights in ascending order: 58, 60, 60, 62, 65, 66, 67, 67, 68, 69, 69, 70, 70, 70, 75

Median = 67 inches

The Allstars team typically has the tallest players. The mean height of the Allstars team is about 67.1 inches, while the mean height of the Champs team is about 66.4 inches. Additionally, the median height of the Allstars team is about 68 inches, while the median height of the Champs team is about 67 inches. Both the mean and median heights of the Allstars team are higher, indicating that, on average, the Allstars team has taller players compared to the Champs team.

Learn more about mean and median here:

https://brainly.com/question/20118982

#SPJ1

Step-by-step explanation:

Jeff spends $2.52 per gallon and buys 14 gallons, so his total expenditure is:

Total spent by Jeff = $2.52/gallon * 14 gallons = $35.28

Anna spends $2.16 per gallon and buys 15 gallons, so her total expenditure is:

Total spent by Anna = $2.16/gallon * 15 gallons = $32.40

To find the difference in their expenditures, we subtract Anna's total from Jeff's total:

Difference = Total spent by Jeff - Total spent by Anna

Difference = $35.28 - $32.40 = $2.88

Therefore, Jeff spends $2.88 more than Anna on gas.

Answer: i think it is 2 1/8 inches and can you please give brainlest

Step-by-step explanation: