Note: For questions 13–21, remember to show all of the steps that you use to solve the problem. You can use the comments field to explain our work. Your teacher will review each step of your responses to ensure your receive proper credit for your answers.
Note: Your teacher will grade your response to this question to ensure you receive proper credit for your answer.
Complete the proof.

Given: AB · BE = CB · BD
Prove: ΔABC ~ ΔDBE

PLEASE HELP! LAST ONE! ILL GIVE BRAINLIST AGAIN IF I CAN!

Note: For Questions 1321, Remember To Show All Of The Steps That You Use To Solve The Problem. You Can
Note: For Questions 1321, Remember To Show All Of The Steps That You Use To Solve The Problem. You Can

Answers

Answer 1

We have shown that ΔABC ~ ΔDBE because the corresponding angles are congruent and the corresponding sides are proportional.

Does a ratio imply equality?

The relationship between two quantities is constant for all values when they are proportional, which indicates that as one quantity rises, the other rises as well.

We must demonstrate that the respective angles of the two triangles are congruent and the corresponding sides are proportionate in order to demonstrate that ABC DBE.

To begin with, we can relate the sides of the two triangles using the following equation AB BE = CB BD. Let x, y, and z all be equal to AB. Next, we have:

x · BE = y · z (substituting the given values)

y/x = BE/BD (dividing both sides by BD and then by x)

Now, we can utilise the knowledge that a triangle's angles sum to 180 degrees to get the length of ABC:

ACB - 180° = ABC (from the given triangle ABC)

ABC = 180 degrees - BDE (corresponding angles)

The measure of BDE can then be determined using the connection between the sides that we discovered earlier:

y/x = BE/BD (from above)

BE/DE = y/(x+z) (substituting z = BD)

BDE is equal to tan(y/(x+z)) Inverse tangent is used.

Now, we can use the fact that a triangle's angles sum to 180 degrees to determine the size of the DBE:

DBE = 180°, BDE, and BED

DBE is equal to 180 - tan(y/(x+z)) - ∠BED (substituting the angle measure we just found) (substituting the angle measure we just found)

DBE is equal to 180° - tan(y/(x+z)) - tan(y/z) (using inverse tangent again)

tan(z(y+x)/(xz-yz)) = DBE (using the tangent of the sum formula)

In order to demonstrate that the sides of the two triangles are proportional, we can once more use the relationship between the sides:

BE/BD = AB/CB (from the given equation and simplification)

Y/x = AB/CB (from the relationship between the sides)

As a result, we have demonstrated that ABC DBE since the associated angles and sides are congruent and proportionate, respectively.

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Related Questions

the area of a rectangle is 14 square units. it has the side length of x and y. given each value for x, find y.

1. x = 4 and 1/5
2. x = 2 and 1/3
3. x = 7/6​

Answers

Answer:

1. y = 3 1/3

2. y = 6

3. y = 12

Step-by-step explanation:

A = xy => xy = 14 => y = 14/x

1. x = 4 1/5 = 21/5

y = 14/x = 14/(21/5) = (5 x 14)/21 = 10/3 = 3 1/3

2. x = 2 1/3 = 7/3

y = 14/x = 14/(7/3) = (3 x 14)/7 = 6

3. x = 7/6

y = 14/x = 14/(7/6) = (6 x 14)/7 = 12


14 yd

21 yd find the area of the triangle

Answers

Answer:

147

Step-by-step explanation:

A= h^b b=21*14= 147

Answer the question below

Answers

Answer:

Step-by-step explanation:

This question's answer is 'c'. In the first function here we put the value of x=0, then y =3 but in the second function if we put the value of x=0 then y  =2. so c is the correct answer.

F(x)=x 2 what is f(2)

Answers

we input the value 2 into the function, it will output the value 4.

What is Function?

Each element of X is given precisely one element of Y by the function from a set X to a set Y. The sets X and Y are collectively referred to as the function's domain and co-domain, respectively. Initially, functions represented the idealized relationship between two variable quantities.

The function F(x) = x^2 represents a quadratic function, where the input value (x) is squared to produce the output value (F(x)).

To find the value of F(2), we simply need to substitute 2 in place of x in the equation:

F(2) = (2)^2 = 4

This means that when we input the value 2 into the function, it will output the value 4.

In other words, F(2) represents the value of the quadratic function at the point where x is equal to 2.

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Complete question:

If F(x)=x^2 then what is f(2).

A new homeowner is purchasing a living room set for $2,784 and must decide between two financing offers. Offer 1: $225 down payment, 24.90% interest rate, compounded monthly, for 3 years. Offer 2: $450 down payment, 22.90% interest rate, compounded monthly, for 4 years. Part A: What is the total cost of offer 1? Explain which technology you used to solve and each step of your process. (3 points) Part B: What is the total cost of offer 2? Explain which technology you used to solve and each step of your process. (3 points) Part C: Which financing offer should the new homeowner choose? Explain your reasoning.

Answers

Therefore , the solution of the given problem of interest comes out to be Offer 1 should be selected by the new homeowner since it has a reduced overall cost.

What exactly does the word interest mean?

Divide the sum by the funding cost, the remaining time, and other factors to determine the simple interest rate. Principal loan repayment hours is the marketing plan with the simplest return. The simplest way to determine involvement is through this technique. In most instances, income is calculated as a percentage of the starting sum.

Here,

Part A: To start, we must divide the yearly interest rate by 12 to determine the monthly interest rate:

Monthly interest rate equals 24.90% divided by 12 equals 0.0249 per month.

=> Monthly payment = (P * r) / (1 - (1 + r)⁻ⁿ

=> Monthly payment = $104.23 per month

=>  (2784 * 0.0249 / (1 - (1 + 0.0249)(-36)).

Taking the entire number of months (36) into account, we get:

Cost of the whole deal 1 = 36 * $104.23 = $3,751.28

As a result, offer 1's overall price is $3,751.28.

Part B:

First, we figure out the interest rate per month:

Monthly interest rate = 22.90% / 12 = 0.0229 / month.

=> Monthly payment = (P * r) / (1 - (1 + r)⁻ⁿ

=> Monthly payout

=> (1 - (1 + 0.0229)(-48)) / (2784 * 0.0229) ≈ $82.12/month

Using the entire number of months (48) as a multiplier, we obtain:

Cost of the whole deal 2 = 48 * $82.12 = $3,938.56

Part C:

Offer 1 costs $3,751.28 in total, while Offer 2 costs $3,938.56 in total.

Offer 1 should be selected by the new homeowner since it has a reduced overall cost.

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100 POINTSS PLEASEEEE HELP BRAINLIEST

Answers

The missing component in this equation is an alpha particle (He), which has a mass number of 4 and an atomic number of 2. Therefore, the balanced nuclear equation for this alpha decay would be:

^45/20Ca -> ^45/21Sc + ^4/2He

Answer: ^45/20Ca -> ^45/21Sc + ^4/2He

You deposit $3400 in an account with an annual interest of 3.3% for 10 years.
The amount of money you'll have at the end of 10 years is $
(Type an integer or a decimal.)

Answers

Answer: 3.3= .033 percentage. .033 times 34000=1112 times (t) time (10 years) equals 11120

Step-by-step explanation:

You roll a number cube labeled 1 through 6, one time.What is the probability that you roll a number that is less than 5?

HURRY!

Answers

Answer:

66.67%

Step-by-step explanation:

To find the probability, divide 4 by 6, since there are 4 numbers less than 5, out of 6 in total.

4/6

= 0.6667

So, the probability is approximately 66.67%

11 Sabina travels from London to Telford.
A ticket from London to Telford normally costs £65.25
Sabina gets off the cost of the ticket.
Amir travels by train from London to Coventry and then from Coventry to Telford.
The ticket from London to Coventry costs £23.75
The ticket from Coventry to Telford costs £14.95
Work out the difference between the cost of Sabina's journey and the cost of
Amir's journey.

Answers

"I have to say a lot of people have been asking this question. No, really. A lot of people come up to me and they ask me. They say, 'What's 2+2?' And I tell them look, we know what 2+2 is. We've had almost eight years of the worst kind of math you can imagine. Oh my god, I can't believe it. Addition and subtraction of the 1s the 2s and the 3s. Its terrible. Its just terrible. Look, if you want to know what 2+2 is, do you want to know what 2+2 is? I'll tell you. First of all the number 2, by the way I love the number 2. It's probably my favorite number, no it is my favorite number. You know what, it's probably more like the number two but with a lot of zeros behind it. A lot. If I'm being honest, I mean, if I'm being honest. I like a lot of zeros. Except for Marco Rubio, now he's a zero that I don't like. Though, I probably shouldn't say that. He's a nice guy but he's like, '10101000101', on and on, like that. He's like a computer! You know what I mean? He's like a computer. I don't know. I mean, you know. So, we have all these numbers and we can add them and subtract them and add them. TIMES them even. Did you know that? We can times them OR divide them, they don't tell you that, and I'll tell you, no one is better at the order of operations than me. You wouldn't believe it. That I can tell you. So, we're gonna be the best on 2+2, believe me. OK? Alright. Thank you." Reporter 1: "But what actually is 2+2?" Trump: "Siddown. No, siddown. I've already answered your question. Haven't I already answered your question. This is what we get from news reporters, folks. Give me a nice question. Yes - you." Reporter 2: "Is your name Donald Trump?" Trump: "Now that's a nice question, folks. That's what I want."

The difference between the cost of Sabina's journey and the cost of Amir's journey is -£38.70.

We have,

The cost of Sabina's journey is £65.25.

Since she gets off the cost of the ticket, her journey is free, so the cost is £0.

Amir's journey consists of two segments:

London to Coventry and Coventry to Telford.

The cost of the London to Coventry ticket is £23.75, and the cost of the Coventry to Telford ticket is £14.95.

Difference = Sabina's Journey Cost - Amir's Journey Cost

Difference = £0 - (£23.75 + £14.95)

Difference = £0 - £38.70

Difference = -£38.70

This means that Amir's journey is £38.70 more expensive than Sabina's journey.

Therefore,

The difference between the cost of Sabina's journey and the cost of Amir's journey is -£38.70.

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A population is normally distributed with a mean of 56 and a standard deviation of 12.

What is the mean of the sampling distribution for this population?

Answers

The calculated value mean of the sampling distribution for this population is 56

Calculating the mean of the sampling distribution for this population?

The mean of the sampling distribution for a population with a normal distribution is equal to the population mean.

Therefore, in this case, the mean of the sampling distribution is also 56.

To understand why this is the case, we can consider the central limit theorem, which states that the sampling distribution of the mean of a random sample from a population with any distribution will be approximately normal if the sample size is large enough.

This means that as the sample size increases, the mean of the sampling distribution approaches the population mean.

Therefore, the mean of the sampling distribution for this population is 56.

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A(-4,4) B(2,7) C(2,1) where is the orthocenter

Answers

Answer:

Step-by-step explanation:

(1\2, 4) = (0.5, 4)

Increase the number 15/16 by 3/5 of it of it. Then increase the resulting number by 3/5 of it

Answers

The resulting number is 12/5

What are arithmetical operations?

Arithmetic operations is a branch of mathematics, that involves the study of numbers, operation of numbers that are useful in all the other branches of mathematics. It basically comprises operations such as Addition, Subtraction, Multiplication and Division.

Given that we need to, increase the number 15/16 by 3/5 of it, then increase the resulting number by 3/5 of it

So, performing the operations,

15/16+15/16×3/5

= 15/16(1+3/5)

= 15/16(8/5)

= 120/80

= 3/2

Now,

3/2+3/2×3/5

= 3/2(1+3/5)

= 3/2(8/5)

= 24/10

= 12/5

Hence, the resulting number is 12/5

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F(x)=5x+1 independent variable

Answers

Answer:

Step-by-step explanation:

If Big Bun won 5 out of 25 matches, what percent did he win? A 25% B 20% C 15% D 10%

Answers

Answer:20%

Step-by-step explanation:

5(100)/25=20

if mFI = 64 degrees and mRS = 180 degrees, find m

Answers

M= 180 divided by 64 = 2.8125

In 1846 the depth of the river was 6.7 feet deep.
In 1847 it dropped 22%.
This year, 1848, it rose 10%.
You get to choose how you want to cross the river.
1. Raft (90% chance of crossing) + 0 bonus points
2. Float (75% chance of crossing) + 100 bonus points
3. Ford (60% chance of crossing) + 250 bonus points
You only get the bonus points if you cross safely.
You will lose supplies if you sink.
Complete the table to find the depth of the river each
year and enter your choice: 1, 2, or 3.
Year
1846
1847
1848
Choice?
Percent (%)
Change
-22
+10
Submit River Depth
Depth
6.7

Answers

Answer:

Step-by-step explanation:

Dan is training for a bike race. He wants to bike 300 miles over the next couples of weeks. Dan biked 29 miles a day for 3 days. Then, he biked 32 miles a day for 4 days. How many more miles does he still have to bike to get to his goal of 300 miles?


A. Sara estimated that Dan would need to bike about 80 more miles to get to his goal of 300 miles. Is this a reasonable estimate? Why or why not?

B. Write an equation for this problem with a letter standing for the unknown quantity.

C. Solve the problem. Show your work.

Answers

Answer:

Step-by-step explanation:

a. Sara's estimate is reasonable because:

Dan has biked for 7 days so far, 29 miles for 3 days and 32 miles for 4 days.

If you round 29 and 32 up and down respectively to 30, then Dan will of have ridden about 30 * 7, or 120 miles so far. 300-120 is 80, so that is a good estimate.

b. If x stands for the miles Dan still needs to bike, then:

(29*3) + (32*4) + x = 300

c. 87 + 128 + x = 300

x = 85

Given f(x)=5-3x, if f(x)=-19, find x.

Answers

f(x)=5-3x
-19=5-3x
-24=-3x
24=3x
x=24/3
x=8

100 Points!!! Algebra graphing question. Describe the reflection in the function as it relates to the parent graph. Then graph the function. Y=-|x| Photo attached. Thank you!!

Answers

The graph of the function y = -|x| is the graph of the function y = |x| reflected across the x-axis

How to describe the graph of the function y = |x|

The function given in the question is

y = -|x|

The above function is an absolute value function graph

And the parent function of an absolute graph is

y = |x|

When y = |x| and y = -|x| compared, we have the transformation to be

A reflection across the x-axis

This means that the graph of y = |x| is reflected across the x-axis to create y = -|x|

See attachment for the graph of the function

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what should target charge for a package of paper plates if they want to make a 75% profit on the plates that originally cost $9.00

Answers

Answer:

$15.75

Step-by-step explanation:

help pls, i am struggling

Answers

The correct graph would be the one with a normal distribution curve centered at 0, with two tails shaded on either side, representing the lowest and highest 4% of scores So option C is correct.

What is standard normal distribution ?

The standard normal distribution is a special case of the normal distribution in which the mean is 0 and the standard deviation is 1. It is also known as the "Z-distribution" because the scores are expressed in terms of their z-scores, which are the number of standard deviations above or below the mean.

The standard normal distribution is a bell-shaped curve that is symmetric around the mean of 0. It is used in statistics as a reference distribution for calculating probabilities and making statistical inferences.

To convert a normal distribution with a given mean and standard deviation to a standard normal distribution, we use the formula:

z = (x - μ) / σ

According to the question:
To find the bone density test scores that can be used as cutoff values separating the lowest 4% and highest 4%, we need to find the z-scores that correspond to the 4th and 96th percentiles of the standard normal distribution.

Using a standard normal table, we find that the z-score corresponding to the 4th percentile is approximately -1.75, and the z-score corresponding to the 96th percentile is approximately 1.75.

Therefore, the bone density test scores that can be used as cutoff values separating the lowest 4% and highest 4% are approximately -1.75 and 1.75, respectively.

To sketch the region containing the lowest 4% and highest 4%, we need to shade the area under the normal curve to the left of -1.75 and to the right of 1.75.

The shaded regions represent the lowest 4% and highest 4% of bone density test scores, respectively. The correct graph would be the one with a normal distribution curve centered at 0, with two tails shaded on either side, representing the lowest and highest 4% of scores.


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In 2021, Madison Square Garden employed 8,900 people. For a basketball game at the garden, there are seats for 19,812 fans. What is the number of fans per employee during a basketball game? Round to the nearest tenth.

Answers

Answer:

There are 2.2 fans per employee.

Step-by-step explanation:

19812/8900 = 2.2 Rounded.

Helping in the name of Jesus.

Tom recorded the outdoor temperature for 8 consecutive days. Seven of those temperatures were 71, 80, 69, 80, 73, 77, and 70. The average for all 8 days was 75. What was the temperature on the eighth day?​

Answers

Answer:

The temperature on the eighth day is 80.

Step-by-step explanation:

Let t = temperature on the eighth day.

[tex] \frac{71 + 80 + 69 + 80 + 73 +77+ 70 + t}{8} = 75[/tex]

[tex] \frac{520 + t}{8} = 75[/tex]

[tex]520 + t = 600[/tex]

[tex]t = 80[/tex]

find the non permissible replacement for (x ^ 2 + 1)/(2x + 10)

Answers

Answer:   -5

Reason:

We cannot divide by zero. This means the denominator cannot equal zero. If it was zero, then,

2x+10 = 0

2x = -10

x = -10/2

x = -5

Follow that chain in reverse to see that x = -5 causes the denominator 2x+10 to be zero. This is why we kick -5 out of the domain. Any other x value is valid.

All of these are valid ways to earn money in Microworkers, except

Answers

All of the given options are valid ways to earn money in Microworkers, except for submitting a review for a service you have not used. The correct option is "Submitting a review for a service you have not used."

Testing an app, translating a document, and data mining for a gardening company are all tasks that can be completed for compensation through the Microworkers platform.

However, submitting a review for a service you have not used is considered fraudulent and goes against the principles of the Microworkers community. It is important to maintain ethical practices when completing tasks for compensation in order to preserve the integrity of the platform. Therefore, "Submitting a review for a service you have not used." option is correct.

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The probable question may be:

All of these are valid ways to earn money in Microworkers, except

Testing an app

Submitting a review for a service you have not used

Translating a document

Data Mining for a gardening company

Which equation can be used to find A, the area of the parallelogram shown? A = 5 × 9 A = 4 × 9 A = 12 × 5 × 9 A = 12 × 4 × 9
Which equation can be used to find A, the area - 1

Answers

The area of the parallelogram can be found out by using the equation:

A = 4 × 9 = 36m².

Define area of parallelogram?

By multiplying the base with the altitude, one can determine the area of a parallelogram. A parallelogram's base and height are perpendicular to each another.

Area of parallelogram = b × h square units

Now in the question,

Height of parallelogram, h = 4m

base of parallelogram, b = 9m

Area of parallelogram = b × h

= 4 × 9

=36m²

Therefore, the equation A = 4 × 9 can be used to find the area of the parallelogram.

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Are the fractions 2/2 and 8/8 equivalent fractions

Answers

Answer:

Step-by-step explanation:

yes since they are both divisible by their denominators and equal the same thing

Answer:

yes, they are equivalent

Step-by-step explanation:

2/2 = (2/2)x(4/4) = 8/8 = 1

I need help due tomorrow so please help I’ve been trying for a while so can I get some help?

Answers

Answer:

It will be same as angle x because they are on the same line and are alternative angles

So, measurement of angle u will be u=152

Step-by-step explanation:

Hope this helps:)

Good luck

Need help will give brainliest and 5 star rating!

Answers

The polynomial function f(x) which produced the graph shown is f(x) = -6(x - 1/2)²(x + 1)²(x - 2).

What is a polynomial graph?

In Mathematics and Geometry, a polynomial graph touches the x-axis at zeros, roots, solutions, x-intercepts, and factors with even multiplicities.

By critically observing the graph of the polynomial function shown above, we can logically deduce that its x-intercepts include the following;

x = -1 ⇒ x + 1 = 0.

x = 2 ⇒ x - 2 = 0.

Also, the graph has a zero of multiplicity 2 at x = 1/2;

x = 1/2 ⇒ x - 1/2 = 0.

(x - 1/2)²

In this context, an equation that represent the polynomial function is given by:

f(x) = a(x - 1/2)²(x + 1)²(x - 2)

By evaluating and solving for the leading coefficient "a" in this polynomial function based on the y-intercept (0, 3), we have;

3 = a(0 - 1/2)²(0 + 1)²(0 - 2)

3 = a(1/4)(-2)

3 = -a/2

a = -6.

Therefore, the required polynomial function is given by:

f(x) = -6(x - 1/2)²(x + 1)²(x - 2)

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The Revenue and Cost equations for a company are known to be polynomials of order 1 and 2 respectively. It is also known that the graphs of the two equations meet at points A(1,1) and B(5,9) while the third point of the cost function is C(2,0), obtain the following:
a) The Revenue equation and the cost equation
b) What do the common solutions to the two equations signify?

Answers

Answer: a) We know that the Revenue equation is a polynomial of order 1, so we can write it in the form:

R(x) = ax + b

where a and b are constants to be determined. We also know that R(1) = 1 and R(5) = 9, so we have two equations:

a(1) + b = 1

a(5) + b = 9

Solving these equations simultaneously, we get:

a = 2, b = -1

Therefore, the Revenue equation is:

R(x) = 2x - 1

Similarly, the Cost equation is a polynomial of order 2, so we can write it in the form:

C(x) = ax^2 + bx + c

where a, b, and c are constants to be determined. We know that C(1) = R(1) = 1 and C(5) = R(5) = 9, so we have two equations:

a(1)^2 + b(1) + c = 1

a(5)^2 + b(5) + c = 9

We also know that C(2) = 0, so we have a third equation:

a(2)^2 + b(2) + c = 0

Solving these equations simultaneously, we get:

a = 1, b = -4, c = 4

Therefore, the Cost equation is:

C(x) = x^2 - 4x + 4

b) The common solutions to the Revenue and Cost equations represent the production level(s) at which the company makes a profit, since the Revenue equation represents the amount of money the company earns and the Cost equation represents the amount of money the company spends. In other words, the common solutions are the values of x for which R(x) - C(x) > 0. At these production levels, the company's revenue is greater than its cost, resulting in a profit. At production levels where R(x) - C(x) < 0, the company is making a loss. At production levels where R(x) - C(x) = 0, the company is breaking even. Therefore, the common solutions to the two equations signify the production levels at which the company makes a profit or breaks even.

Step-by-step explanation:

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