Which is a needed step to prove that AABF = AEDG?

The number of ways we can select a captain and one alternate captain from a team of eleven soccer players is 55

A permutation is an act of putting things or numbers in a particular order. Combinations are a method of selecting objects or numbers from a group of objects or collections without regard for their order.

Given that soccer player = 11

We have to find in many ways we can choose a captain and one alternate captain from a team of eleven soccer players

Out of 11 player, we have to pick one captain and one alternate captain

nCr ways

nCr = n!/r!(n-r)!

Here n = 11 and r = 2

= 11C2

= 11!/2!(11-2)!

= 11! / 2!.9!

= ((11x 10 x 9!)/2!.9!)

= (11 x 10)/2

= 110/2

= 55

Therefore the number of ways we can select a captain and one alternate captain from a team of eleven soccer players is 55

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The passage is using persuasive language to encourage readers to purchase the Weav-eo Bracelet kit. It is emphasizing the popularity of the craft and the vibrant colors of the bracelets in order to entice readers to buy the kit.

Persuasive writing is a form of writing in which the author uses words and phrases to convince the reader to believe in a particular point of view. It is often used in advertising, speeches, and political campaigns. It is used to convince the reader to take a certain action, or to agree with a particular idea or opinion. The main goal of persuasive writing is to influence the reader’s opinion in some way. To achieve this, writers must use strong arguments, clear language, and emotional appeals. The writer must also make sure that the argument is logical and supported by evidence.

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Answer:

zip p0quo6or0r7ut t if

Step-by-step explanation:

ye at rdlrj8hj0

Answer:

\(4d^{2}\)

Step-by-step explanation:

Divide the numbers like usual:

12/3 = 4

Note that when you divide powers with common base, you are actually subtracting the power:

\(\frac{d^{4} }{d^{2} } = d^{4 - 2} = d^{2}\)

Combine the two for your answer:

\(4d^{2}\) is your answer.

~

The center of the circle, and consequently the central point of the resort's swimming pool, is located at the intersection of the two legs of the right triangle, approximately 60 feet from one vertex and 120 feet from the other.

The upscale resort has ingeniously designed its circular swimming pool to encompass a central area containing a restaurant. This central area takes the form of a right triangle with legs measuring 60 feet and 120 feet, while the hypotenuse, the longest side of the triangle, spans approximately 103.92 feet. The vertices of the triangle neatly coincide with points on the circumference of the circular pool.

Due to the properties of a right triangle, the hypotenuse is also the diameter of the circle. This means that the circular pool is precisely constructed around the right triangle, with its center located at the midpoint of the hypotenuse.

To determine the exact coordinates of the center of the circle, we can consider the properties of right triangles. Since the legs of the right triangle are perpendicular to each other, the midpoint of the hypotenuse coincides with the point where the two legs intersect.

In this case, the center of the circle is the point of intersection between the 60-foot leg and the 120-foot leg of the right triangle.

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a) Substituting in n = 2,

\(\frac{3(2)^{2}}{2}=6\)

b) Substituting in n = 5,

\(\frac{3(5)^{2}}{2}=\frac{75}{2}\)

c) Setting the nth term to be greater than 50,

\(\frac{3n^{2}}{2}>50 \\ \\ n^{2} >\frac{100}{3} \\ \\ n>\frac{10}{\sqrt{3}} \\ \\ \lceil n \rceil = 6\)

Step-by-step explanation:

the temperature of the water is always inversely proportional to the depth x. the larger the depth the lower the temperature.

just the rate of change changes at certain levels.

so, below 900 meters the relation is defined as

T = 4500/x

at 1200 m this means

T = 4500/1200 = 45/12 = 15/4 = 3.75°C

at 2500 m this means

T = 4500/2500 = 45/25 = 9/5 = 1.8°C

the difference in temperature at these 2 levels is

3.75 - 1.8 = 1.95°C

The sequence 38, 44, 50,.... is an arithmetic sequence

The explicit rule of the sequence is an = 32 + 6n

The sequence 38, 44, 50,.... is an arithmetic sequence with the following parameters:

First term, a1 = 38

Common difference, d = 6

The explicit rule is calculated as:

an = a1 + (n - 1) * d

This gives

an = 38 + (n - 1) * 6

Evaluate the product

an = 38 - 6 + 6n

This gives

an = 32 + 6n

Hence, the explicit rule of the sequence is an = 32 + 6n'

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Answer:

2. 4

3. 5

4. 8

5. 9

6. 1

7. 6

8. 5

9. 7

10. 2

Step-by-step explanation:

Count the number of terms for each.  Alternately, count the number of "+" and "-", and add 1.

Answer:

Step-by-step explanation:

According to vertical angles theorem, when two lines intersect the opposite angles are equal and adjacent angles are supplementary.

A) Find the value of x:

B) Find the measure of angle 2:

C) Angles 2 and 3 are supplementary so their sum is 180°.

Answer:

A.  x = 18

B.  m∠2 = 68°

C.  m∠2 = 112°

Step-by-step explanation:

Given:

Vertical Angles Theorem

When two straight lines intersect, the opposite vertical angles are congruent.

Therefore:

\(\implies \angle 2 = \angle 4\)

\(\implies 4x-4= x+50\)

\(\implies 4x-4-x= x+50-x\)

\(\implies 3x-4= 50\)

\(\implies 3x-4+4= 50+4\)

\(\implies 3x=54\)

\(\implies 3x\div 3=54 \div 3\)

\(\implies x=18\)

To find the measure of ∠2, substitute the found value of x into the given expression for ∠2:

\(\implies m\angle 2 =(4x-4)^{\circ}\)

\(\implies m\angle 2 =[4(18)-4]^{\circ}\)

\(\implies m\angle 2 =(72-4)^{\circ}\)

\(\implies m\angle 2 =68^{\circ}\)

Angles on a straight line sum to 180°:

\(\implies m\angle 2 +m\angle 3=180^{\circ}\)

\(\implies 68 ^{\circ}+m\angle 3=180^{\circ}\)

\(\implies m\angle 3=180^{\circ}-68 ^{\circ}\)

\(\implies m\angle 3=112 ^{\circ}\)

Answer:

No solution

Step-by-step explanation:

Because BDC is 20, and DC = DB, DBC is also 20 degrees. ABD would then be 160 since DBC and ABD has to equal 180. You know ADB is 35 so 160 + 25 + x has to equal 180. But 160 + 25 is already 185, and x can't be negative, so no solution.

Answer:

392 m^2

Step-by-step explanation:

I made a video explaining it for you! I promise it’s not unrelated to the question. Here it is:

https://youtu.be/AcVNod4o-_w

Answer:

B. 1395 sq. units

Step-by-step explanation:

Since the shape is an octagon, it is also composed of 8 triangles. If you solve the formula for the area of a triangle with those numbers and multiply it by the amount of sides you will have the total area.

Answer:

B. 1395 sq. units

Step-by-step explanation:

A=2(1+\(\sqrt{2}\))a²

A=2(1+\(\sqrt{2}\))17²

A=2(1+\(\sqrt{2}\))289

A≈4.83×289

A≈1395.87

A≈1395 units²

The option that fits this is B. 1395 sq. units

Answer:

Speed=Distance÷time

speed=25km÷0.5hour=50km/h

Step-by-step explanation:

First you must convert minutes to hours (divide by60/ (÷60) ) to get 0.5

30÷60=0.5hours

Answer:

\( {x}^{2} = 3x - 2 \\ {x}^{2} - 3x + 2 = 0 \\ (x - 1)(x - 2) = 0 \\ x = 1 \: or \: x = 2 \\ for \: x \: = 1 \\ \: y = {(1)}^{2} = 1 \\ for \: x = 2 \\ y = {(2)}^{2} = 4\)

Answer:

11

Step-by-step explanation:

First, we need to find 2/3 of 22.

22 * 2/3 = 14 2/3

Now, we can find 3/4 of 14 2/3.

3/4 * (14 2/3) = 11

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.

- Heather

Answer:

11

Step-by-step explanation:

you times it

3/4 x 2/3 =  1/2

1/2 x 22 = 11

11 is the answer

The sample correlation coefficient can indeed be a positive value, a negative value, or zero.

The sample correlation coefficient measures the strength and direction of the linear relationship between two variables in a sample. It is denoted by the symbol "r" and can take values ranging from -1 to 1. A positive correlation coefficient indicates a direct relationship between the variables, meaning that as one variable increases, the other tends to increase as well.

On the other hand, a negative correlation coefficient indicates an inverse relationship, where as one variable increases, the other tends to decrease. A correlation coefficient of zero signifies no linear relationship between the variables, indicating that changes in one variable are not associated with changes in the other. Therefore, depending on the data, the sample correlation coefficient can be positive, negative, or zero, reflecting the nature of the relationship between the variables under consideration.

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Answer:

Step-by-step explanation: This week, I had a question in math class about the different types of angles, such as alternate interior angles theorem, alternate exterior angles, same-side interior angles, same-side exterior angles, corresponding angles, concurrent lines, perpendicular lines, and a few more types of angles about lines and knowing what matches to what type of angle. Yes, I did ask a few questions when I was confused about certain lines and how they have this angle, such as a concurrent line. Yes, my question was answered. I actually enjoy asking questions because if I don't learn what I'm confused about, how will I know how to improve and avoid making the same mistakes? Yes, I had someone else ask the same question I had before, whether it was something new learned in class or something confusing or difficult to learn. It made me feel relieved and grateful because I'm glad I wasn't the only one who was confused, and it makes it easier when someone else doesn't understand the same step, and challenges when learning new things. The questions we ask lead to new discoveries. Questions lead us to answers we never considered before we asked the question. Of course, one cannot simply ask question after question without considering possible answers. Many people, on the other hand, are afraid that by asking questions, they will appear weak, ignorant, or unsure. They are afraid that asking questions will place them in a negative light. Lastly, some people are so eager to get things done that they don't stop to ask questions because it might slow them down.

As QR + QS = RS, confirming that QRS is a right triangle.

Hence Option C is the correct answer

To determine whether QRS is a right triangle,

We can use the Pythagorean Theorem,

Which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

Using the coordinates given, we can calculate the lengths of the sides QR, QS, and RS using the distance formula.

QR = √[(18-12)² + (15-15)²] = 6

QS = √[(12-12)² + (15-7)²] = 8

RS = √[(18-12)² + (15-7)²] = 10

Now, we can check if the Pythagorean Theorem holds true for QRS.

Option A states that QRS is a right triangle because,

RS² + QS² = RQ².

However, this is incorrect as RQ is not a side of the triangle.

Option B states that QRS is not a right triangle because,

QR² + QS² ≠ RS².

This is also incorrect as we can see that the Pythagorean Theorem does not hold true for this triangle.

Option C states that QRS is a right triangle because,

QR² + QS² = RS².

This is the correct answer as we can see that the Pythagorean Theorem holds true for this triangle. Therefore, QRS is a right triangle.

Option D states that QRS is not a right triangle because,

RS² + QS² ≠ RQ².

This is incorrect as we have already established that RQ is not a side of the triangle.

In conclusion, the correct answer is option C and we can confirm that QRS is a right triangle.

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An independent basic service set (IBSS) does not consist of any access points.

In an IBSS, devices such as laptops or smartphones connect with each other on a peer-to-peer basis, forming a temporary network. This type of network can be useful in situations where there is no existing infrastructure or when devices need to communicate with each other directly.

Since an IBSS does not involve any access points, it is not limited by the number of access points. Instead, the number of devices that can be part of an IBSS depends on the capabilities of the devices themselves and the network protocols being used.

To summarize, an IBSS does not consist of any access points. Instead, it is a network configuration where wireless devices communicate directly with each other. The number of devices that can be part of an IBSS depends on the capabilities of the devices and the network protocols being used.

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Answer:

B

Step-by-step explanation:

128/2=64 mph

(the rate)

2 hr= 120 min

so.. 120-24= 96

and with the wind speed is r-c and without it is r+c because your going against the wind.

Answer:

75cm

Step-by-step explanation:

Well, I can't see a photo, so I'll have to assume that the description provides enough info.

10cm/2km = x/15km,

where x is the distance on the map (in centimeters) of a real-life distance of 15 kilometers.

10cm/2km = x/15km

10/2 = 5/1

This means we have to multiply 5 by 15 to find x.

x = 5 · 15

x = 75

Let's plug the new value back in...

10cm/2km = x/15km

10cm/2km = (75cm)/15km

(Simplify each side to its simplest form)

10cm/2km = 75cm/15km

5/1 = 5/1

It works! So x = 75cm.

Hope this helps! :)

To assign the 50 students to two independent groups, a randomization procedure can be used. The procedure involves first listing all the students in a random order. It minimizes bias and ensures an equal chance of assignment to either group.

To assign 50 students to two independent groups using randomization, follow these steps:

1. Start with a list of all 50 students.

2. Assign a unique number to each student, such as from 1 to 50.

3. Use a random number generator to generate 25 distinct random numbers from 1 to 50. These random numbers will represent the students for the first independent group.

4. The remaining 25 students, represented by the numbers not selected in step 3, will form the second independent group.

5. Assign the students to their respective groups based on the random numbers.

This procedure ensures that the students are assigned to two independent groups through randomization, reducing potential biases and ensuring a fair distribution of students across the groups.

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Answer:

Sarah was driving faster by 10 mph.

She was driving 70 miles per hour while Jonathan was only driving 60 miles per hour.

The patient will pay $452.20 in full today after applying the 15% discount.

If the patient receives a 15% discount for a visit to the healthcare provider and the total charge for the service is $532.00, the patient will pay 100% - 15% = 85% of the total charge.

To calculate the amount the patient will pay in full today, we need to find 85% of $532.00.

85% of $532.00 can be calculated as:

(85/100) * $532.00 = $452.20

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The normal approximation can be used in a two-sample test of proportions when the sample sizes are sufficiently large.

The rule of thumb is that each sample should have at least 10 successes and 10 failures. When these conditions are met, the sampling distribution of the difference in sample proportions can be approximated by a normal distribution with a mean equal to the difference in population proportions and a standard deviation calculated from the sample proportions. This approximation allows us to calculate probabilities and make inferences using the standard normal distribution. It is important to note that this approximation may not be accurate for small sample sizes, in which case exact methods such as the Fisher's exact test should be used instead. In summary, the normal approximation can be used in a two-sample test of proportions when the sample sizes are large enough and the conditions are met.

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a. The amount of the quarterly deposit is approximately $5,573.39.

b. The accumulated amount in the account after the 15th deposit is approximately $128,523.79.

a. To find the amount of the quarterly deposit, we can use the formula for the future value of an ordinary annuity. The formula is:

A = P * ((1 + r)^n - 1) / r

Where:
A = Accumulated amount
P = Quarterly deposit
r = Interest rate per compounding period
n = Number of compounding periods

In this case, the interest is compounded every 3 months, so the interest rate per compounding period is 9.6% / 4 = 2.4%.

a. To find the quarterly deposit, we need to solve the formula for P. Rearranging the formula, we have:

P = A * r / ((1 + r)^n - 1)

Substituting the given values:
A = $350,000 (the desired accumulated amount)
r = 2.4% (0.024 as a decimal)
n = 5 years * 4 quarters per year = 20 quarters

P = $350,000 * 0.024 / ((1 + 0.024)^20 - 1)
P ≈ $5,573.39

Therefore, the amount of the quarterly deposit is approximately $5,573.39.

b. To find the accumulated amount after the 15th deposit, we can use the future value of an ordinary annuity formula but with a different value for n. Since the interest is compounded every 3 months, the number of compounding periods is 15 quarters.

A = P * ((1 + r)^n - 1) / r

Substituting the given values:
P = $5,573.39 (the calculated quarterly deposit)
r = 2.4% (0.024 as a decimal)
n = 15 quarters

A = $5,573.39 * ((1 + 0.024)^15 - 1) / 0.024
A ≈ $128,523.79

Therefore, the accumulated amount in the account after the 15th deposit is approximately $128,523.79.

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Answer:

v=9

Step-by-step explanation:

-18 = 7v + 9 - 10v

combine like terms

-18 = -3v + 9

-9             -9

-27 = -3v

divide both sides by -3

9 = v

or

v = 9

Hope this helps!!!

Answer:

7.2 feet

Step-by-step explanation: