The measure of angle AGE is equal to 3x+5 and the measure of angle CHG is equal to 4x-35. solve for x

Answer:

28-6=w

Step-by-step explanation:

The area of the pool that needs to be covered is 960.42 square feet.

According to the question:

Let us find the perimeter of our given pentagon by multiplying each side length by 5.

\(Perimeter of community pool $=5 \times 23.62\\Perimeter of community pool $=118.1$\)

Now let us find apothem of our pentagon by using Pythagoras theorem.  

\(a^{2}=20.10^{2}-11.81^{2}\\$a^{2}=404.01-139.4761\\$a^{2}=264.5339\\$a=\sqrt{264.5339}\\$a=16.2645$\)

Upon substituting our given values in above formula we will get,

\(Area of community pool =\frac{1}{2} \times 16.2645 \times 118.1\\Area of community pool $=8.13224907 \times 118.1\\Area of community pool $=960.418615627971 \approx 960.42$\)

Therefore, the area of the pool that needs to be covered is 960.42 square feet.

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Answer: B). 960 ft2

Step-by-step explanation:

Answer:

the answer is 2/5 or 0.4

.

Answer:

Usually to the right (positive). But if it is a negative number then go left first.

Step-by-step explanation:

We get that ∠5 can be written as ∠ HDC, ∠ 3 can be written as ∠ GDE and the vertex of ∠ 2 is D.

An angle is formed when two straight lines or rays meet at a common endpoint. The common point of contact is called the vertex of an angle. The word angle comes from a Latin word named 'angulus,' meaning “corner.”

We are given a diagram.

We need to name the angles.

∠5 can be written as ∠ HDC

∠ 3 can be written as ∠ GDE

Vertex of ∠ 2 is D

Therefore, we get that ∠5 can be written as ∠ HDC, ∠ 3 can be written as ∠ GDE and the vertex of ∠ 2 is D.

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Answer:

The last one

Step-by-step explanation:

1. the probability that a person who is above 35 years old has a hemoglobin level of 9 or above is 0.357.

2. the probability that a person who is older than 35 years has a hemoglobin level between 9 and 11 is 0.264.

3.  the probability is 0.08.

4.  the probability of being 25-35 years and having a hemoglobin level above 11 is  0.0558.

1. To find the probability that a person who is above 35 years old has a hemoglobin level of 9 or above, we need to use the information given in the table. We can see that there are 170 people who are above 35 years old and have a hemoglobin level of 9 or above, and there are 478 people who are above 35 years old in total. Therefore, the probability is:

Probability = 170/478 = 0.355

So the answer is A. 0.357 (rounded to three decimal places).

2. To find the probability that a person who is older than 35 years has a hemoglobin level between 9 and 11, we need to use the information given in the table. We can see that there are 126 people who are older than 35 years and have a hemoglobin level between 9 and 11, and there are 478 people who are above 35 years old in total. Therefore, the probability is:

Probability = 126/478 = 0.264

So the answer is not one of the choices provided.

3. Probability of being 25-35 years old:

There are 151 people who are 25-35 years old out of a total of 900 people, so the probability of being 25-35 years old is 151/900 = 0.168.

Probability of having a hemoglobin level above 11:

There are 279 people who have a hemoglobin level above 11 out of a total of 900 people, so the probability of having a hemoglobin level above 11 is 279/900 = 0.31.

Probability of being 25-35 years old and having a hemoglobin level above 11:

There are 72 people who are 25-35 years old and have a hemoglobin level above 11 out of a total of 900 people, so the probability of being 25-35 years old and having a hemoglobin level above 11 is 72/900 = 0.08.

4. Based on the data in the two-way table, the probability of being 25-35 years and having a hemoglobin level above 11 is 0.29. The probability of having a hemoglobin level above 11 is 0.31. To determine whether being 25-35 years and having a hemoglobin level above 11 are dependent or independent, we need to compare the joint probability with the product of the marginal probabilities:

P(25-35 years and hemoglobin level above 11) = 0.29

P(25-35 years) = 0.18

P(hemoglobin level above 11) = 0.31

Product of the marginal probabilities = P(25-35 years) x P(hemoglobin level above 11) = 0.18 x 0.31 = 0.0558

Since the joint probability is not equal to the product of the marginal probabilities, we can conclude that being 25-35 years and having a hemoglobin level above 11 are dependent on each other.

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It will take the ship 5 hours to travel 75 miles

A variation is a relation between a set of values of one variable and a set of values of other variables. Direct variation. In the equation y = mx + b, if m is a nonzero constant and b = 0, then you have the function y = mx (often written y = kx), which is called a direct variation.

if it takes 2 hours to cover 30 miles by the ship and 4 hours to cover 60 miles.

let d be the distance covered in miles and t time taken in hours

The d ∝ t

introducing a constant

d = kt

when d = 30, t = 2

30 = 2k

k = 30/2

k = 15

The equation relating d and t is

d = 15t

to find t when d = 75, making t the subject of the equation

t = d/15

t = 75/15

t = 5 hours

In conclusion, 5 hours is the time taken to cover 75 miles.

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Here, Statement a) B is more stable than A  is correct, while statements b), c), and d) are incorrect.

Lindane, also known as gamma-hexachlorocyclohexane, exists as a mixture of two stereoisomers. These stereoisomers have different chair conformations, often referred to as conformer A and conformer B. I will describe these conformations to help you analyze the statements provided.

Conformer A: In conformer A, one of the chlorine atoms is positioned in an axial (up) position, while the other five chlorine atoms are in equatorial (outward) positions. This arrangement is less stable due to steric hindrance caused by the axial chlorine atom, which experiences stronger interactions with neighboring groups.

Conformer B: In conformer B, the axial and equatorial positions of the chlorine atoms are interchanged compared to conformer A. The chlorine atom that was previously axial is now equatorial, and vice versa. This arrangement reduces the steric hindrance, leading to a more stable conformation.Now, let's analyze the provided statements:

a) B is more stable than A:

This statement is correct. Conformer B is indeed more stable than conformer A because it minimizes steric hindrance by placing the chlorine atoms in more favorable positions.b) A is more stable than B:

This statement is incorrect. As explained above, conformer B is more stable than conformer A.

c) A is not the correct representation of Lindane:

This statement is incorrect. Both conformers A and B are valid representations of Lindane, and the compound exists as a mixture of these conformations.

d) The two chair conformations of Lindane are degenerate:

This statement is incorrect. Degenerate conformations have the same energy level. In the case of Lindane, conformer B is more stable than conformer A, indicating that they have different energy levels and are not degenerate.

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Answer:

Step-by-step explanation:

Answer: 8.25mi

Step-by-step explanation:

Just add them all together

8.25 mi

Step-by-step explanation:

2.75 mi + 3 mi + 2.5 mi

= (2.75 + 3 + 2.5)mi

= (5.75 + 2.50)mi

= 8.25 mi

Answer:

would love to help but what  are the statements?

The expression 2^7 times 19 can be simplified by first evaluating the exponential term, 2^7, which is equal to 128. Therefore:2^7 times 19 = 128 * 19We can then evaluate the product of 128 and 19 using multiplication. When we do that, we get:2^7 times 19 = 2432Therefore, the choice that is equivalent to the expression 2^7 times 19 is 2432

7/10 would be the probablity

7/10 is the probability that a randomly selected student is a female or a liberal arts major.

Let us determine the number of female students:

15 + 18 + 17 = 50.

Determine the number of students majoring in liberal arts:

20 + 18 = 38.

Determine the number of students who are both female and liberal arts majors: 18.

Add the number of female students and the number of liberal arts majors, but subtract the overlap (students who are both female and liberal arts majors):

50 + 38 - 18

= 70.

Divide the result by the total number of students:

70 / 100

= 7/10.

Hence,  the probability that a randomly selected student is a female or a liberal arts major is 7/10.

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The inequality given by (x/3) + 5 ≥ 1/6 has the solution x ≥ -29/2 or [-29/2 , +∞).

Inequality refers to the relationship between two non-equal expressions. It can be denoted by > for greater than, < for less than, >/= for greater than and equal to, and </= for less than and equal to.

To solve an inequality is to find the values of x such that when we substitute that number for x we have a true statement.

Given the inequality (x/3) + 5 ≥ 1/6, subtract 5 from both sides.

(x/3) + 5 - 5 ≥ 1/6 - 5

x/3 ≥ -29/6

Multiply both sides by 3.

3(x/3) ≥ 3(-29/6)

x ≥ -29/2

To check, let x = -29/2

x = -29/2 ≥ -29/2

Substitute this value to the inequality.

(x/3) + 5 ≥ 1/6

(-29/2)/3 + 5 ≥ 1/6

1/6 ≥ 1/6

let x = -14,

x = -14 ≥ -29/2

Substitute this value to the inequality.

(x/3) + 5 ≥ 1/6

-14/3 + 5 ≥ 1/6

1/3 ≥ 1/6

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ok

Dimensions = 5 ft x 7 ft

Brick = 4 in x 12 in

1.- Convert ft to in

1 ft -------------------- 12 in

5 ft ------------------- x

x = (5 x 12) / 1

x = 60 in

1 ft -------------------- 12 in

7 ft -------------------- x

x = (7 x 12) / 1

x = 84 in

2.- Calculate the area of the wall

Area = 60 x 84

= 5040 in^2

3.- Calculate the area of a brick

Area = 4 x 12 = 48 in^2

4.- Divide the area of the wall by the area of the brick

Number of bricks = 5040 / 48

= 105

There will be 105 brick on the wall.

Answer:

α ≈ 28.96°

Step-by-step explanation:

using the tangent ratio in the right triangle

tanα = \(\frac{opposite}{adjacent}\) = \(\frac{\sqrt{15} }{7}\) , then

α = \(tan^{-1}\) ( \(\frac{\sqrt{15} }{7}\) ) ≈ 28.96° ( to the nearest hundredth )

Answer:

= 0.38 m/s

Step-by-step explanation:

▪Total distance = 800 m

5 min = 100 m

▪Remaining distance = 800 - 100 = 700 m

20 min = 700 m

▪Total time taken = 20 + 10 + 5 = 35 min

If 1 min = 60 sec

What about 35 min = ?

= 35 x 60

= 2100 sec

▪Average speed = TD ÷ TT

= 800 ÷ 2100

= 0.38 m/s

There are 480 different configurations of winning choices possible in the election.

The multiplication principle states that if there are m ways to do one thing and n ways to do another thing, then there are m × n ways to do both things together.

In this problem, each item on the ballot has a certain number of choices, and we need to determine the total number of configurations of winning choices by multiplying the number of choices for each item.

Here we have

An election has five items on the ballot.

The first item of the ballot has 4 choices, the second item has 6 choices, the third item has 5 choices, the fourth item has 2 choices, and the fifth item has 2 choices.  

To find the total number of different configurations of winning choices in the election, we need to multiply the number of choices for each item on the ballot.

The first item has 4 choices, the second item has 6 choices, the third item has 5 choices, the fourth item has 2 choices, and the fifth item has 2 choices.

To calculate the total number of configurations, we multiply these numbers together:

Total configurations = 4 choices (item 1) × 6 choices (item 2) × 5 choices (item 3) × 2 choices (item 4) × 2 choices (item 5)

Total configurations = 4 × 6 × 5 × 2 × 2

Total configurations = 480

Therefore,

There are 480 different configurations of winning choices possible in the election.

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Answer:

I start to say from my name,age,family,qualifications and etc.

Answer:

In your response, do the following:

Begin by rereading the job description. Take note of the required skills that you have, and identify recent stories that demonstrate them . Ideally, you should draw primarily from recent professional experience; however, volunteer work can also support your narrative while demonstrating a commitment to your community.

Is it a more senior role? If so, explain how you are taking on more responsibilities in your current position. If you are making a lateral transition to a role with different skills, describe how your current skills translate into the new position.

When you start building the script of each example, focus on details and outcomes that you can quantify if possible. For example, stating that you “improved customer service” is less impactful than “increased customer service response rates each quarter by 10–15%.” If you don’t have the exact information, estimate a realistic value.

Since the “Tell me about yourself” interview question is about getting to know you, it’s a good idea to share your personality with your interviewer—but not personal details. You may want to briefly mention hobbies that demonstrate intellectual development and/or community engagement (e.g., reading, music, sports league, volunteering) or those that showcase personal discipline and achievement (e.g., learning a new skill, training for a half marathon). Discussing personal interests is a good way to wrap up your response while maintaining a professional tone.

For your response to be clear and concise, you’ll want to make sure you organize your answer following a format or formula. There are two common formulas you may consider:

Both of these formulas work for your response, but you may choose one over the other based on the roles from your experience that are most relevant to the position you're interviewing for. For example, if your most recent role highlights many of the skills and qualifications that are required for the role you’re interviewing with, you may want to lead with the present. However, if you're making a career transition and your past experience is more closely related to the role than your current position, you may want to lead with your past.

Answer:

He should refute the affirmation, because the volumes are different.

Step-by-step explanation:

The area of a regular hexagon is given by the equation:

\(Area = 3\sqrt{3}side^2/2\)

And the volume is given by:

\(Volume = Area * height\)

The volume of the internal hexagon hole is given by:

\(V_{internal} = (3\sqrt{3}*4^2/2) * 2\)

\(V_{internal} = 83.1384\ cm^3\)

The volume of the ring is given by the volume of the bigger hexagon minus the volume of the internal hexagon:

\(V_{ring} = V_{external} - V_{internal}\)

\(V_{ring} = (3\sqrt{3}*6^2/2) * 2 - 83.1384\)

\(V_{ring} = 187.0615 - 83.1384\)

\(V_{ring} = 103.9231\ cm^3\)

The volumes are different, so the assistant should refute Dakota.

Answer:

30 days or 4 weeks and 2 days

Answer:

12x^5

Step-by-step explanation:

(-2x)(-6x^4)

Multiply the numbers

-2 * -6 = 12

Multiply the variables

x* x^4 = x^5

12x^5

Answer: No it would be 4.07

=1.1

Step-by-step explanation: Subtract 0.33 from 4.4

Answer:

30 players

Step-by-step explanation:

If 40% are right handed, then 40% of 75 are right handed.

0.4*75 = 30 players

click the heart to give thanks :)

Answer:

The answer is 30

Step-by-step explanation:

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In algebra, a number exists even equal to itself according to the reflexive property of equality. The equality's reflexive quality. If a is a number, then. a = a.

In algebra, a number is always equal to itself according to the reflexive property of equality. The equality's reflexive quality. If a is a number, then. a = a.

2. AD = BC due to the congruence of a rectangle's opposite sides.

3. Due to the reflexive property of congruence, DC=DC, each segment is identical to itself.

4. ADC and BCD are right angles since any rectangle's internal angles are right angles (Definition of rectangle).

5. Since they form right angles and all right angles are congruent, ADC=BCD.

6. ADC and BCD are congruent because they have two congruent sides (AD with BC and DC with DC) and a congruent angle between them: Side Angle Postulate Side Congruence Postulate (SAS Congruence Postulate).

7. AC must match BD because Congruent Parts in Congruent Triangles must match (CPCTC).

Statement                                    Reason

1. Rectangle ABCD                         Given

2. AD=BC                                        Opposite sides of a rectangle are congruent

3. DC=DC                                        Reflexive Property of Congruence

4. <ADC and <BCD are                  Definition of rectangle

  right angles

5.  <ADC=<BCD                              All right angles are congruent

6. ∆ADC=∆BCD                              SAS Congruence Postulate

7. AC=BD                                        CPCTC  

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