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Answer:

DF = 2.68

EF = 2.01

Step-by-step explanation:

1.34 ÷ 2 = 0.67

0.67 x 2 = 1.34 (verification)

0.67 × 4 = 2.68

0.67 × 3 = 2.01

Lengths of similar triangles are proportional to each other so, we have EF=2.01  and DF= 2.68

how to find length of an edge in similar triangles?

Similar triangle are the triangles which have same shape but different sizes i.e. they have same angles but have different edge size.

The ratio of corresponding edges in two similar triangles is same. This concept of same ratios of sides in similar triangles is helpful in finding the length of an edge in triangle.

A/a=B/b=C/c

AB/DE=BC/EF=AC/DF

So,       DF=(AC×DE)/AB

            DF=(4×1.34)/2

DF=2.68

Similarly,  EF=(BC×DE)/AB

                 EF=2.01

Through the concept of constant ratios of corresponding sides in two similar triangle we calculate length of edges in triangles.

To learn more about similar triangle visit:

https://brainly.com/question/22336769

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Answer:

\(x=\frac{1}{r} +1\)

Step-by-step explanation:

\(r=\frac{1}{x-1}\)
\(r(x-1)=1\)
\(x-1=\frac{1}{r}\)
\(x=\frac{1}{r} +1\)

Answer:

\(x=\dfrac{1+r}{r}\)

Step-by-step explanation:

Given equation:

\(r=\dfrac{1}{(x-1)}\)

Multiply both sides by (x - 1):

\(\implies r(x-1)=\dfrac{1}{(x-1)} \cdot (x-1)\)

\(\implies r(x-1)=1\)

Expand the brackets:

\(\implies rx-r=1\)

Add r to both sides:

\(\implies rx-r+r=1+r\)

\(\implies rx=1+r\)

Divide both sides by r:

\(\implies \dfrac{rx}{r}=\dfrac{1+r}{r}\)

\(\implies x=\dfrac{1+r}{r}\)

Answer:

Hey there!

This would be a 2.5% increase in salary.

Using the percent increase formula we find the answer to be a 2.5% increase.

Let me know if this helps :)

Answer:

2.5%

Step-by-step explanation:

((new - original) / original) * 100

328-320 = 8/320 = 0.025

0.025 * 100 = 2.5

Answer:

PART A: Sample A is not a random sample. In a random sample, all members of the population have an equal chance of being selected. Sample A has students from Rima’s classes, but no students from other classes. Students from the other two grades in the school won’t be represented.

PART B: Sample B is a random sample. Every student, or every member of the population, has a homeroom class. All of them have an equal chance of being selected in the sample.

PART C: Sample C is not a random sample because the sample excludes boys. The sample should include both girls and boys to represent the entire student population.

PART D:  Sample D is a random sample. All students in all grades are featured in the student directory, so all of them have an equal chance of being picked for the sample.

PART E: Sample E is not a random sample because it consists of only the students in the band and excludes all other students from the sample. Because not every student is in the band, this is not a fair representation of the entire student body.

please give me brainlist thank you and have a good day :)

Answer:

PART A: Sample A is not a random sample.

PART B: Sample B is a random sample.

PART C: Sample C is not a random sample.

PART D:  Sample D is a random sample.

PART E: Sample E is not a random sample.

Step-by-step explanation:

These are the answers from Edmentum. Got them all right with this.

Answer:

B) y = 5x

Step-by-step explanation:

Proportional relationships are relationships that:

Thus, the equation that follows y = kx is B) y = 5x.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

Answer:for the first on is 4 second one is 3 and the 3rd one is 8

Step-by-step explanation:

i just know stuff

Answer:

Look at image posted.

Step-by-step explanation:

The one I circle would be the answer because there should not be 2 points for every x-axis value. The 1st one has 2 points with x=0, the other 2 also have 2 points on the asme x axis value

Answer:

Bus is the preferred transportation for 25 residents.

Step-by-step explanation:

Answer: I guess the slope is m=-1/3

Step-by-step explanation: Hope it helps :)

Answer:

26,910 meters more

Step-by-step explanation:

29.9m x 1000 = 29,900

29.9m x 100 = 2,990

29,900-2,990=26,910 meters

Steps:

6 1/4 - 4 3/15 can also be written as 25/4 - 23/5

The LCD of 4 and 5 is 20.

That gives us 125/20 - 92/20.

Now, just subtract the numerators (leave the denominators the same).

That brings us to 33/20, which can be simplified to 1 13/20

Final Answer:

\(1\frac{13}{20}\)

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*Please mark brainliest if that helped!*

Answer:

1 \(\frac{13}{20}\)

Step-by-step explanation:

1. Convert both \(\frac{1}{4}\) and \(\frac{3}{5}\) into a common denominator. 4 multiplied by 5 is 20. 20 works for both 4 and five. So convert the denominator into 20. Multiply \(\frac{1}{4}\) by \(\frac{5}{5}\) and multiply \(\frac{3}{5}\) by \(\frac{4}{4}\)

2. You should've gotten, \(\frac{5}{20}\) and \(\frac{12}{20}\)

3. 6 - 4 = 2, so 2 \(\frac{5}{20}\) - \(\frac{12}{20}\)

4. You have to convert 1 into \(\frac{20}{20}\) and add that to \(\frac{5}{20}\). You should've got \(\frac{25}{20}\)

5. Subtract.

The Answer is 1 \(\frac{13}{20}\)

I believe I am correct.

Please mark me as brainliest if I am correct

Answer:

C

Step-by-step explanation:

Answer:

6.7 + x/2.7 ≥ b

Step-by-step explanation:

(6.7) (more) (than the quantity x divided by 2.1) (is greater than or equal to) (b)

6.7     +                                  x / 2.1                                       ≥                          b

6.7 + x/2.7 ≥ b

Answer:what is the anwser

Step-by-step explanation:

Answer:

C.(-3, -3) and (-3,3)

Step-by-step explanation:

When we have a vertical line the slope is undefined.

That means the x values stay the same

C.(-3, -3) and (-3,3)

This has the same x values

m = (y2-y1)/(x2-x1)

   =( 3- -3)/(-3 - -3)

   (3+3)/(-3+3)

   6/0

  undefined

Answer: C

Step-by-step explanation:

Answer:

1. initial point is (2, 4)

reflected point is (-2, 4)

the coordinates are similar because they involve the same numbers, however, with the reflection across the Y axis, the X point became negative.

2. initial point is (2, 4)

reflected point is (2, -4)

again, same numbers but the X value becomes negative

Hope this helps!

Explanation:

The data from the stem-and-leaf plot is:

10,

24,25,26,

30,30,32,33,

40,45,46

Add up those values

10+24+25+26+30+30+32+33+40+45+46 = 341

Then divide over n = 11 which is the sample size.

341/11 = 31 is the arithmetic mean.

Answer:

341/11 = 31 is the arithmetic mean.

Step-by-step explanation:

Let's break down this problem step by step.

First, let's understand what's happening here. There's a carnival game where you can pick one duck from a pond. Each duck has a mark under it that might make you a winner of a prize. Some ducks are marked with large prizes, some with medium, some with small, and the rest don't win you any prize.

The total number of ducks in the pond is 73.

Out of these 73 ducks:

- 5 are marked for a large prize,

- 11 are marked for a medium prize,

- 24 are marked for a small prize.

We are asked to find the theoretical probability of picking a duck that has a medium prize mark. The theoretical probability is basically a fraction that compares the number of ways something can happen with the total number of outcomes.

Here, the number of ways you can win a medium prize is equal to the number of ducks that have a medium prize mark, which is 11.

The total number of outcomes is just the total number of ducks you can choose from, which is 73.

The probability (P) of winning a medium prize is then:

P(medium prize) = (Number of medium-prize ducks) / (Total number of ducks)

= 11/73

To convert this fraction to a decimal, simply divide 11 by 73:

= 11 ÷ 73

≈ 0.1507 (rounded to the nearest thousandth)

So, the probability of winning a medium prize at the duck pond is about 0.151 or 15.1%. Imagine, for every 100 ducks you pick (if there were that many), about 15 of them would win you a medium prize.

The theoretical probability of winning a medium prize at the duck pond is ≈ 0.150

To find the theoretical probability of winning a medium prize at the duck pond, we need to determine the ratio of the number of medium-prize-winning ducks to the total number of ducks in the pond.

The total number of ducks in the pond is given as 73.

The number of medium-prize-winning ducks is given as 11.

Therefore, the probability can be calculated as follows:

Probability of winning a medium prize = (Number of medium-prize-winning ducks) / (Total number of ducks)

Probability of winning a medium prize = 11 / 73

To express the answer as a decimal, we divide 11 by 73:

Probability of winning a medium prize ≈ 0.150

Rounded to the nearest thousandth, the theoretical probability of winning a medium prize at the duck pond is approximately 0.150

To better understand how to find theoretical probability of winning medium prize at the duck pond:

https://brainly.com/question/1369541

Answer: linear

Step-by-step explanation:

Answer:

The Quotient is 136 and the Remainder is 0

Step-by-step explanation

( I hope it helps ^^)

Answer:

C

Step-by-step explanation:

Answer:

the answer is 6 because when x=7 on the line it is also equal to 6 on the y axis

Answer:

The mode is equal to the minimum

Is the correct answer

Step-by-step explanation:

In this case,

Mean = (52+48+48+54+50)/5

Mean = 50.4

The Median = 50,(the middle value)

Mode = 48  (the value that appears most often)

Now, the minimum value(smallest value) of the data set is 48

so,

The mode is equal to the minimum

Answer: the mode is equal to the minimum

Step-by-step explanation:

Answer:

To find the greatest number of stickers Cassie can place on a page that is 11 inches long and 8 inches wide without them overlapping, we need to use the same approach as before.

Firstly, we need to calculate the maximum number of stickers that can fit along the length of the page, which is now 11 inches. Since each sticker is 3 inches long, we can fit 3 stickers along the length (11 ÷ 3 = 3 with a remainder of 2).

Next, we can calculate the maximum number of stickers that can fit along the width of the page, which is still 8 inches. Since each sticker is 2 inches wide, we can fit 4 stickers along the width (8 ÷ 2 = 4).

To ensure that the stickers do not overlap, we can only use the full row of 3 stickers from the previous calculation. Therefore, we can place 3 stickers along the length and 4 stickers along the width, giving us a maximum of 12 stickers that Cassie can place on the page without them overlapping.

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

First, find out how much stickers you can put on the long side:

12/3 = 4

Next, find out how much stickers you can put on the wide side:

8/2 = 4

Lastly, calculate them together:

4x4=16

So the answer is 16.

Answer:

$28.75

Step-by-step explanation:

$12.50 + ($3.75 x 4) = ?

3 3/4 x 4 1/3

15/4 x 13/3 --> 5/4 x 13/1 = 65/4

65/4 can be simplified to $16.25

$12.50 + $16.25 = $28.75