Given that B is the midpoint of AC, and E is the midpoint of AD, prove △ABE and △ACD are similar.

Options:
A. 1. B is the midpoint of AC¯¯¯¯¯ and E is themidpoint of AD¯¯¯¯¯. (Given)2. AB¯¯¯¯¯≅BC¯¯¯¯¯, AE¯¯¯¯¯≅ED¯¯¯¯¯ (Def. of mdpt.)3. ACAB=ADAE (Trans. Prop. of =)4. ∠A≅∠A (Reflex. Prop. of ≅)5. ΔABE∼ΔACD (AA∼)

B. 1. B is the midpoint of AC¯¯¯¯¯ and E is themidpoint of AD¯¯¯¯¯. (Given)2. AB¯¯¯¯¯≅BC¯¯¯¯¯, AE¯¯¯¯¯≅ED¯¯¯¯¯ (Def. of mdpt.)3. ACAB=ADAE (Trans. Prop. of =)4. ∠A≅∠A (Reflex. Prop. of ≅)5. ΔABE∼ΔACD (SAS∼)

C. 1. B is the midpoint of AC¯¯¯¯¯ and E is themidpoint of AD¯¯¯¯¯. (Given)2. AB¯¯¯¯¯≅ED¯¯¯¯¯, AE¯¯¯¯¯≅BC¯¯¯¯¯ (Def. of mdpt.)3. ACAB=ADAE (Trans. Prop. of =)4. ∠A≅∠A (Trans. Prop. of =)5. ΔABE∼ΔACD (AA∼)

D. 1. B is the midpoint of AC¯¯¯¯¯ and E is themidpoint of AD¯¯¯¯¯. (Given)2. AB¯¯¯¯¯≅ED¯¯¯¯¯, AE¯¯¯¯¯≅BC¯¯¯¯¯ (Def. of mdpt.)3. ACAB=AEAD (Reflex. Prop. of ≅)4. ∠A≅∠A (Trans. Prop. of =)5. ΔABE∼ΔACD (SAS∼)

Answer:

Step-by-step explanation:

Step 1: Factor left side of the  equation.

(3x−2)(2x+1)=0

Step 2: Set factors equal to 0.

3x−2=0 or 2x+1=0

\(x=\frac{2}{3} or x=\frac{-1}{2}\)

The statement that best describes "willing suspension of disbelief" is: A dynamic in which the audience agrees to accept the fictional world of the play on an imaginative level while knowing it to be untrue.

The concept of "willing suspension of disbelief" is an essential element in experiencing and appreciating works of fiction, particularly in theater, literature, and film. It refers to the voluntary act of temporarily setting aside one's skepticism or disbelief in order to engage with the fictional narrative or performance. It involves consciously accepting the imaginative world presented by the creator, even though it may contain unrealistic or fantastical elements. By willingly suspending disbelief, the audience allows themselves to become emotionally invested in the story and characters, making the experience more enjoyable and meaningful. This dynamic acknowledges the inherent fictional nature of the work while acknowledging that the audience is aware of its fictional status. It creates a mutual understanding between the audience and the creators, enabling the audience to fully immerse themselves in the narrative and connect with the intended emotions and themes of the work.

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the answer is 7x-12=16

Answer:

12-(7*x)=16

I think this is the answer. I was never good at this lesson either.

Answer:

The answer is C

Step-by-step explanation:

Answer:

7/3

Step-by-step explanation:

14/5×5/6

=14/6

=7/3

Answer c

Step-by-step explanation:

they have to be equivalent

Answer:

look at the picture i have sent

A function is a relationship between a set of possible inputs and outputs, where each input is associated with exactly one output.

A non-function is a relation between a set of inputs and a set of possible outputs where there is at least one input with more than one output.

The vertical line test can be used to ascertain whether a relation is a function. If you can draw a vertical line through the graph of the relationship and it intersects the graph at more than one point, then the relation is a non-function. If the vertical line intersects the graph at only one point, then the relation is a function.

Another way to determine if a relation is a function is to look at the equation defining the relation. If the equation does not contain any x's in the denominator, then the relation is a function. If the equation contains x's in the denominator, then the relation is a non-function.

For example, consider the relation defined by the equation y = x^2. This relation is a function because there are no x's in the denominator.

On the other hand, consider the relation defined by the equation y = 1/x. This relation is a non-function because the equation contains an x in the denominator.

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The rate of constant for the above-given first-order reaction is b.) 8.77 × 10–3 h–1.

The half-life of a first-order reaction can be calculated using the equation t1/2 = ln(2)/k, where t1/2 is the half-life and k is the rate constant.

In this case, we know that the reaction goes to half completion in 79 hours. Therefore, the half-life is also 79 hours.

Plugging this into the equation, we get:

79 = ln(2)/k

Solving for k, we get:

k = ln(2)/79

Using a calculator, we can evaluate this expression to get:

k = 8.77 × 10–3 h–1

Therefore, the correct answer is b) 8.77 × 10–3 h–1.

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Answer:

Go to the nurses office

Step-by-step explanation:

The answer is 55 degrees.

In light of the fact that a 22-foot ladder's top rests against an 18-foot wall.

Together, the floor, the wall, and the ladder form a right angle triangle .with the ladder serving as the hypotenuse.

Thus, a right triangle with a hypotenuse of 22 feet is formed.

When the wall's side equals 18.

The angle that the ladder forms with the ground is the necessary angle.

Therefore, if x is the angle, we have

\(\sin x=\frac{\text { Opposite }}{H y \text { potenuse }}=\frac{18}{22}\)

This allows us to determine the angle X.

X = 18/22 sin inverse

X=54.9

Justify it with X=55 degrees.

What is right angle triangle ?

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Mrs. Wright give here explanation against her husband's death that somebody strangled him

The term trifles is a one-act play written by Susan Glaspell

And in that play they represents the two women discuss the life of a woman accused of murdering her husband, here we have also know that while the sheriff and county attorney investigate the scene.

Here we have to know that In Trifles the character names as Mrs. Wright explains her husband's death by saying he died "of a rope around his neck."

And here she also claims that someone strangled him and she also explains her situation in order to explain his demise.

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Answer:

18a+2b

Step-by-step explanation:

Answer:

how much money did they have ?

Step-by-step explanation:

Answer:

dang thats alot .............

The Surface area of square pyramid shown in the figure attached is 84 in²

An equation is an expression that shows the relationship between two or more numbers and variables.

Surface area of square pyramid = area of base + sum of lateral faces area

Hence:

Surface area of square pyramid = (6 * 6) + 4(1/2 * 6 * 4) = 84 in²

The Surface area of square pyramid shown in the figure attached is 84 in²

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Without specific information about the data set, it is not possible to determine which equation is the best fit.

To determine the linear function equation that best fits the data set, we need more information about the data set itself. Without the data points or any other details, we cannot accurately determine which linear function equation is the best fit.

However, I can provide a general explanation of the four options:

y = -2x + 5: This is a linear equation with a negative slope of -2. It represents a line that decreases as x increases. The y-intercept is 5.

y = 2x + 5: This is a linear equation with a positive slope of 2. It represents a line that increases as x increases. The y-intercept is 5.

y = -1/2x + 5: This is a linear equation with a negative slope of -1/2. It represents a line that decreases at a slower rate as x increases. The y-intercept is 5.

y = 1/2x - 5: This is a linear equation with a positive slope of 1/2. It represents a line that increases at a slower rate as x increases. The y-intercept is -5.

Without specific information about the data set, it is not possible to determine which equation is the best fit. The best fit would depend on how well the equation aligns with the actual data points.

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Answer:

Last option i.e M= Fr²/Gm

Only one possible triangle can be formed. This is because there is enough information to apply the Law of Sines to determine the missing side or angle uniquely.

In a triangle, the sum of the measures of two sides must be greater than the measure of the third side. Using the given measurements, we can see that

r + s = 31 + 16 = 47,

which is greater than the third side, t. Therefore, a triangle can be formed.

Additionally, since we know the measure of one angle (angle mS), we can use the Law of Sines to solve for the other two angles and the remaining side. After solving, we find that there is only one possible triangle that can be formed.

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By looking at the box plot, we can determine that the IQR is 40 pounds.

The interquartile range (IQR) of the players' weights is the difference between the upper quartile (Q3) and the lower quartile (Q1). The upper quartile is the value that 75% of the players' weights are below, and the lower quartile is the value that 25% of the players' weights are below.

Calculating the IQR requires the following steps:

In this case, the interquartile range of the players' weights is the difference between the upper quartile (Q3) and the lower quartile (Q1). By looking at the box plot, we can determine that the IQR is 40 pounds.

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Answer:

A

Step-by-step explanation:

We know that because the second plane flies 15 miles less, it has to be either A or B, because they have -15 at the end.

It cannot be B, because in B, the second plane has a -w in the equation. However, in the word problem, the second plane flies with the wind, not against it. Therefore, it must be A.

The degree of a quadratic equation is always 2

The substitution that rewrites \(x^8 - 3x^4 +2 = 0\) as a quadratic equation is \(u = x^4\)

The equation is given as:

\(x^8 - 3x^4 +2 = 0\)

Express 8 as 4 * 2

\(x^{4 \times 2} - 3x^4 +2 = 0\)

Rewrite the equation as:

\((x^{4})^2 - 3x^4 +2 = 0\)

Represent x^4 with u.

So, the equation becomes

\(u^2 - 3u +2 = 0\)

Notice that the above equation has a degree of 2.

Hence, the substitution is \(u = x^4\)

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Answer:

B

Step-by-step explanation:

Edge 2022

The four steps to solve a radical equation are: Isolate the radical, square both sides, solve the resulting equation, and check for extraneous solutions.

To solve a radical equation, follow these four steps:

1. Isolate the radical: Move any terms that don't contain the radical to the other side of the equation. This step ensures that the radical term is alone on one side of the equation.

2. Square both sides: Raise both sides of the equation to the power that eliminates the radical. If you have a square root, square both sides. If you have a cube root, cube both sides, and so on. This step helps eliminate the radical.

3. Solve the resulting equation: Once you've eliminated the radical, solve the resulting equation for the variable. At this stage, you should have an equation without any radicals.

4. Check for extraneous solutions: After finding a potential solution, substitute it back into the original equation and verify if it satisfies the equation. Sometimes, in the process of eliminating the radical, you may introduce extraneous solutions that don't actually satisfy the original equation. If the substituted solution doesn't satisfy the equation, discard it as an extraneous solution.

By following these four steps, you can solve radical equations systematically and ensure that you find all valid solutions.

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Answer:

It will take her 4 hours and 10 minutes

Step-by-step explanation:

Here, given that Valery rides at a speed of 9.6 miles per hour, we want to find the number of hours it would take to ride exactly 40 miles

Mathematically;

Distance = speed * time

Thus;

Time = Distance/speed

Time = 40 miles/ 9.6 mph

Time = 25/6 h

Since 60 minutes = 1 hour

25/6 hours = 250 minutes which is same as 4 hours 10 minutes

Answer:

c. (-1, -8)

Step-by-step explanation:

\(y = 3x-5\\y = 2x-6\\\\3x - 5 = 2x - 6\\x = -1\\\\\)

Put x in any of the two equations to get y,

y = -8

The EBM (Estimated Bounds of the Mean) is -1.7451 to -1.7868.

The EBM (Estimated Bounds of the Mean) is a statistical measure used to estimate the range within which the population mean is likely to fall based on a given sample. In this case, with a sample mean of 100, sample standard deviation of 5, sample size of 20, and a confidence level of 89%, the EBM is approximately calculated to be -1.7451 to -1.7868.

These bounds represent the uncertainty surrounding the estimated population mean and indicate that there is an 89% confidence that the true population mean lies within this range. The EBM becomes narrower as the sample size increases, providing a more precise estimation of the population mean.

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Via Gelato total revenue for the month of June as the the details of expenses is equal to $7870.

As given in the question,

Total revenue is:

= (6200 × 13) - 72,540

=$ 8060

Details of all expenses are as follow:

Expense on raw material:

= (6200 × 4.75) -30,330

= -$880

Wages :

= (6200 ×1. 50) + 5,700 - 14,560

= $440

Utilities:

= (6200 × 0.30) +1730 - 3,800

= -$210

Rent:

= (2700-2700)

= 0

Insurance :

= (1450-1450)

= 0

Miscellaneous :

= (6200 × 0.45) + 660 -2,990

= $460

Total expense

=-$190

Net operating income :

=$ [8060-190]

=$7870

Therefore, Via Gelato's  total revenue of the June month is equal to $7870.

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A poster of area 11760 cm2 has blank margins of 10 cm wide on the top and bottom and 6 cm wide on the sides. The dimensions that maximize the printed area are 500 cm x 23.52 cm.

The problem can be solved using the following concept:

Suppose we have a function f(x), then at the maximum/minimum point, it holds:

          f '(x) = 0

In the given problem, let:

q = length of the poster

p = width of the poster

Then,

p x q = 11760

or q = 11760/p

Let f(p,q) be the function of printed area, then:

f(p,q) = (p - 20)(q - 12)

f(p) = (p - 20) (11760/p - 12)

f(p) = -p² + 1000p - 980 x 20

At the maximum point:

f '(p) = 0

-2p + 1000 = 0

p = 500

Substitute p = 500 to get q:

q = 11760/p = 11760/500 = 23.52

Hence, the maximum printed area obtained if the dimensions are 500 cm x 23.52 cm

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Answer: 53 points

Step-by-step explanation:

Let the number of points gotten by Kate be represented by x.

Since we are given the information that Kevin got 52 points which was 54 points less than 2 times that of kates points. This can be formed into an equation as:

(2 × x) - 54 = 52

2x - 54 = 52

2x = 52 + 54

2x = 106

x = 106/2

x = 53

Kate got 53 points