What value of x and y will make the polygon below a parallelogram?

What Value Of X And Y Will Make The Polygon Below A Parallelogram?

Answers

Answer 1

Answer:

[tex]x = 4[/tex]

[tex]y =1[/tex]

Step-by-step explanation:

Given

The attached figure

Required

x and y

If the attached is a parallelogram, then:

Either segment of a diagonal are equal; So, we have:

[tex]3x = 12[/tex]

[tex]x + y = 5y[/tex]

In [tex]3x = 12[/tex]

Divide both sides by 3

[tex]x = \frac{12}{3}[/tex]

[tex]x = 4[/tex]

Substitute [tex]x = 4[/tex] in [tex]x + y = 5y[/tex]

[tex]4 + y = 5y[/tex]

Collect like terms

[tex]5y - y =4[/tex]

[tex]4y = 4[/tex]

Divide both sides by 4

[tex]y = \frac{4}{4}[/tex]

[tex]y =1[/tex]


Related Questions

Question 5 of 10
The function f(x) = 2X is shifted 4 units left. The result is g(x). What is g(x)?
O A. g(x) = 2x + 4
O B. g(x) = 2X – 4
C. g(x) = 2x - 4
D. g(x) = 2x + 4

Answers

Answer:

None

See below under Remark.

Step-by-step explanation:

When you shift left, you think of moving in the negative direction. But it is not shown that way. You need to show what happens when you substitute a value in for x. Usually a graphing program helps to show which choice is right.

g(x) = f(x+4) = 2(x + 4)

None of the choices are this result, so we have to assume that the brackets were just omitted.  The graph below shows what the answer given is the correct one.

Remark

Look at the graph carefully. The red line is f(x) = 2x

The blue line is g(x) = f(x-4) = 2(x - 4)

Notice that g(x) has shifted 4 units to the left. The x intercept has gone from 0,0 to (-4,0) and is so labeled.

If you have an answer with brackets around (x + 4) that's the one you choose. It needs the 2 outside the brackets.

Write 53 minutes to 4 hours as a ratio.

Answers

Answer:

The minutes wouldn't it be hours?

Step-by-step explanation:

Answer:

53:240

Step-by-step explanation:

Turn the hours into minutes since the minutes can't change to hours.

A rectangular safe can hold 7,296 cubic inches. Gold bars that are 4 inches by 8 inches by 2 inches fit to completely fill
the safe. What is the maximum number of gold bars that will fit in the safe?

(A) 64
(B) 228
(C) 114
(D) 128

Answers

Answer:

your answer is 114

I hope it's helps you

What number is 60% of 35?

Answers

Answer:

21................

Step-by-step explanation:

21.................

40 divided by 28! HURRY!!

Answers

Answer:

fraction~ 10/7

decimal~ 1.428571

mixed number~ 1 3/7

Step-by-step explanation: for decimal make sure to put the line over the 428571 because its an on going number

Find the Mode of the following set of data. (Round to the nearest whole number.)

1, 1, 3, 0, 7, 2, 0, 3, 1, 6, 8, 1

Answers

Answer:

1

Step-by-step explanation:

Answer:

Step-by-step explanation:

The mode is the number which occurs most frequently in the data set.

In this question, 1 appears the most frequently meaning that the correct mode is is 1.

NO LINKS
what is the answer??

Answers

Answer:

5625 bald eagles

Step-by-step explanation:

Given

[tex]y = 312.5x + 1562.5[/tex]

Required

Predict the numbers in 1998

First, we calculate the value of x

[tex]x = 1998 - 1985[/tex] ---- years since 1985

[tex]x = 13[/tex]

So, we have:

[tex]y = 312.5x + 1562.5[/tex]

[tex]y = 312.5*13 + 1562.5[/tex]

[tex]y = 4062.5 + 1562.5[/tex]

[tex]y = 5625[/tex]

Two planes just took off from Boston, MA. The first plane is traveling 2.5 times as fast as the second plane. After traveling in the same direction for 5 hours, they are 735 miles apart. What is the average speed of each plane? (Hint: Since they are traveling in the same direction, the distance between them will be the difference of their distances.)

Answers

Answer:

Plane 1:  rate = 245 mph

Plane 2:  rate = 98 mph

Step-by-step explanation:

Plane 2:  Let r = rate

                    d = 5r

Plane 1:    2.5r = rate

                    d = 5(2.5r)

5(2.5r) - 5r = 735

12.5r - 5r = 735

7.5r = 735

r = 98

Suppose we have a function defined by f(x)=4x+2 What is the value of f(3) ?

Answers

Answer:

um... 12

Step-by-step explanation:

<3

The value of f(3) is given as 14.

What is a function?

A function y = f(x) can be defined as a one to one relation between sets X and Y. The set X is called the domain and Y is called the range of the function.

The given function is as below,

f(x) = 4x + 2

In order to find the value of f(3) substitute x = 3 in the function as,

f(3) = 4 × 3 + 2

     = 12 + 2

     = 14

Hence, the value of the function f(x) at x = 3 is 14.

To know more about function click on,

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Estimate the sum of 8.43 + 8.12 + 7.98.

Answers

Answer:

we estimate it and get

the answer is 25.53

NO LINKS/FLIES PLEASE .

Morgan pays $25 in monthly fees for her baseball team's uniforms and field rental. What kind of expense is the fee she pays?

A. Variable

B. Income

C. Fixed

D. This would not be an expense.

Answers

I would say it is a fixed fee because it doesn’t change

In the year 2009, a company made $5.4 million in profit. For each consecutive year after that, their profit increased by 11%. How much would the company's profit be in the year 2012, to the nearest tenth of a million dollars?​

Answers

Answer:

Hi Grif05!

Your answer is 7.1 million.

To be exact , 7182000

Step-by-step explanation:

The distance between 2009 and 2012 is 3 years so we multiply.

11x3=33.

Now we must find 33% of 5.4 million.

33 % of 5.4 million is 1782000.

33% of 5400000 = 1782000

We then add 33% of 5.4 million to itself.

We get an answer of 7182000.

Hope this helps! Tell me if I'm wrong please :)

Now, find the difference. What is 3 1-14 6 8 1 3. 2 - 1 6 = 3 12 12​

Answers

Answer:

3 1/2 - 1 4/6= 1 5/6

Step-by-step explanation:

HELP IM TIMED. ILL MARK BRAINLIEST!

Answers

Answer:

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

A standard bathtub holds 60 gallons of water. A full tub drains 12 gallons per minute. Which of the following tables best represents this situation?

Answers

If you have 60 gal and 5% (12) is being drained per min it will only take 5 mins to drain all the water

I don't know if I solved it the way you needed me to, but I hope it helps

I don't know what the answer choices are so yeah.

Does the equation below represent a
direct proportion? If yes, identify
the constant of proportionality.
х = 6у
A. No
B. Yes, 36
C. Yes, -6
D. Yes, 1/6

Answers

Step-by-step explanation:

The given equation is :

x = 6y ...(1)

Here,

x and y are variables and 6 is a constant number

It means,

x and y are related directly to each other i.e.

x ∝ y

or

x = ky .....(2)

Comparing equation (1) and (2)

k = 6

Hence, yes they are in direct proportion and the value of constant of proportionality is 6.

Answer:

yes / 1/6

Step-by-step explanation:

(a) For real applications, the normal distribution has two potential drawbacks: (1) it can be negative, and (2) it isn’t symmetric. Choose some continuous random numeric outcomes of interest to you. Are either potential drawbacks really drawbacks for your random outcomes? If so, which is the more serious drawbacks and why?

(b) Many basketball players and fans believe strongly in the “hot hand.” That is, they believe that players tend to shoot in streaks, either makes or misses. If this is the case, why does the binomial distribution not apply, at least not exactly, to the number of makes in a given number of shots? Which assumption of the binomial model is violated, the independence of successive shots, or the constant probability of success on each shot? Or can you tell? Explain your reasoning.

(c) Your company needs to make an important decision that involves large monetary consequences. You have listed all of the possible outcomes and the monetary payoffs and costs from all outcomes and all potential decisions. You want to use the EMV criterion, but you realize that this requires probabilities and you see no way to find the required probabilities. What can you do?

(d) If your company makes a particular decision in the face of uncertainty, you estimate that it will either gain $10,000, gain $1000, or lose $5000, with probabilities 0.40, 0.30, and 0.30, respectively. You (correctly) calculate the EMV as $2800. However, you distrust the use of this EMV for decision-making purposes. After all, you reason that you will never receive $2800, you will receive $10,000, $1000, or lose $5000. Discuss this reasoning.

(e) In the previous question, suppose you have the option of receiving a check for $2700 instead of making the risky decision described. Would you make the risky decision, where you could lose $5000, or would you take the sure $2700? What would influence your decision?

(f) A potentially huge hurricane is forming in the Caribbean, and there is some chance that it might make a direct hit on Hilton Head Island, South Carolina, where you are in charge of emergency preparedness. You have made plans for evacuating everyone from the island, but duh n evacuation is obviously costly and upsetting for all involved, so the decision to evacuate shouldn’t be made lightly. Discuss how you make such a decision. Is EMV a relevant concept in this situation? How would you evaluate the consequences of uncertain outcomes?

(g) You often hear about the trade-off between risk and reward. Is this trade-off part of the decision making under uncertainty when the decision-maker uses the EMV criterion? For example, how does this work in investment decisions?

(h) Under what conditions would you prefer a simple exponential smoothing model to the moving averages method for forecasting a time series? Explain your reasoning!

Answers

hello all today's people are in the class of all the dues and then you will be able and send your friends and family members from your side of your home and get it right

Neal thought of a number. When he divided 47 by his number the remainder was 5. What can Neal's number be? Find all possible answers

Answers

47x5= 235
235 divided by 5 =47
Neals number could be 47

Answer:

[tex]\{\ldots -89,-42,5,52,99,\ldots\}[/tex]

Step-by-step explanation:

His number must be an integer multiple of 47, plus 5.

[tex]47n+5[/tex]  where n  is any integer.

PLSS HELP ASAP!!
13 points when answered:) Thank you!!

Answers

Answer:

The wright answer is A

Step-by-step explanation:

[tex] \sqrt{20} = 4.47 \\ \frac{14}{3} = 4.67 \\ 4.47 < 4.5 < 4.67[/tex]

What is the prime factorization of 48?
O A. 2x3x8
OB. 2x2x3 x4
OC. 2x2x2x3
OD. 2x2x2x2x3
O E. 2x2x2x3 x3

Answers

Answer:

D

Step-by-step explanation:

2 x 2 = 4

4 x 2 = 8

8 x 2 = 16

16 x 3 = 48

Hi I need help please just tell the answer don’t scam me with a link and have a nice day :)

Answers

C is the answer :)

9=6+3
15=12+3
21=18+3

is this correct help please

Answers

Answer:

I would think it would be 4 because dont you add the 2 sides?

Step-by-step explanation:

A space shuttle is made using a scale of 1 inch : 12 feet. If the actual space shuttle has a height of 84 feet, then the model is ____ inches tall.

Answers

Answer:

7 in.

Step-by-step explanation:

1 in - - > 12 ft

x in - - > 84 ft

----------------------

12*x=84 - - >x=7in

write an algebraic expression for each verbal expression. the sum of B and 21

Answers

Answer:

B + 21

or

21 + B

Step-by-step explanation:

The sum of B and 21

The sum of : means to add B and 21

The algebraic expression would be: B + 21  or 21 + B (depending on how you/your teacher wishes it to be written)

Answer:

21 + b

Step-by-step explanation:

The answer to this expression is the sum of b and 21. The answer is 21 + b.

Good luck ^^

You need to establish _____ for how to judge a concept.

Answers
Questions
Points
Criteria

Answers

Answer:

Criteria.

Step-by-step explanation:

A series of criteria is a set of parameters established by whoever seeks to interpret a certain information or quantity of concepts, by means of which a set of interpretive rules is established that should be equal to all the concepts to be analyzed. Thus, the criteria allow a set of data to be analyzed under the same parameters or information processing requirements.

I like healthy foods that have a high percentage of my daily vitamins. I bought a bag of apples. There are still six apples left That's 75% of the apples. How many apples did I have to begin with?​

Answers

Answer:

8 apples to begin with.

Step-by-step explanation:

First, we know that 75% is 3/4 of 100%

If 3/4 = 6 apples then we need to divide each side by three to get 1/4.

So 1/4 = 2

Now, we multiply each side by 4 to get 4/4

So 4/4(100%) = 8

8 apples is the answer

Please can I have help on this

Answers

Answer:

64

Step-by-step explanation:

16/2

= 8

8 x 8 x (pie)

64(pie)

Answer:

From the diagram, the radius of the circle is 8cm therefore the area is

A =

[tex]a \: = \pi {r}^{2} [/tex]

= 201.1 cm^2

Of 220 seventh-grade students, 25% earn the Community Service Award. How many students earn the award?

Answers

Answer:

55 students

Step-by-step explanation:

all you do is 220*.25 and you get the answer

Use the graph below to find the indicated function Value. y=f(x); f(4)

Answers

From the graph at f=4
then y=3

The value of f(4) is 3 if the graph of the function is shown in the picture, the answer is 3.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

It is given that:

The graph of the function is shown in the picture.

From the graph the value of f(4) can be evaluated as follows:

y = f(x)

Plug x = 4

y = f(4)

From the graph:

Draw a vertical line from point 3 on the x-axis and when it cuts the curve draw a horizontal line when the line cuts the y-axis note the point.

y = f(4) = 3

Thus, the value of f(4) is 3 if the graph of the function is shown in the picture, the answer is 3.

Learn more about the function here:

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An article reported the results of an experiment to determine the effect of load on the drift in signals derived from a piezoelectric force plates. The correlation coefficient y between output and time under a load of 588 N was −0.9515. Measurements were taken 110 times per second for 300 seconds, for a total of 33000 measurements. Find a 95% confidence interval for the population correlation rho. Round the answers to four decimal places.

Answers

Answer:

95% confidence interval for the population is; -0.9525 < [tex]p[/tex] < -0.9505

Step-by-step explanation:

Given the data in the question;

correlation coefficient y between output and time under a load of 588 N was −0.9515

so first we determine the quantity W.

we know that; W = [tex]\frac{1}{2}[/tex]ln([tex]\frac{1 + r}{1 - r}[/tex])

we substitute -0.9515 for r

W = [tex]\frac{1}{2}[/tex]ln([tex]\frac{1 + (-0.9515 )}{1 - (-0.9515 )}[/tex])

W = [tex]\frac{1}{2}[/tex]ln([tex]\frac{1 - 0.9515 )}{1 + 0.9515 )}[/tex])

W = [tex]\frac{1}{2}[/tex]ln([tex]\frac{ 0.0485}{1.9515 }[/tex])

W = [tex]\frac{1}{2}[/tex]ln( 0.02485 )

W = [tex]\frac{1}{2}[/tex]( -3.6948975 )

W = - 1.8474

So the quantity W is normally distributed with  standard deviation given by;

σ[tex]_w[/tex] = 1 / √(n - 3)

given that n is 33,000, we substitute

σ[tex]_w[/tex] = 1 / √(33,000 - 3)

σ[tex]_w[/tex] = 1 / √32997  

σ[tex]_w[/tex] = 0.0055

Now, at 95% confidence interval, μ[tex]_w[/tex] will be;

⇒ - 1.8474 - 1.96( 0.0055 ) < μ[tex]_w[/tex] < - 1.8474 + 1.96( 0.0055 )

⇒ - 1.8474 - 0.01078 < μ[tex]_w[/tex] < - 1.8474 + 0.01078

⇒ -1.8582 < μ[tex]_w[/tex] < -1.8366

So to obtain 95% confidence interval for p, we use the following equation;

we transform the inequality

p = [( [tex]e^{2u_w} - 1[/tex] ) / ( [tex]e^{2u_w} + 1[/tex] )]

we substitute

[tex]\frac{e^{2(-1.8582 )}-1}{e^{2(-1.8582 )} + 1}[/tex] < [tex]\frac{e^{2u_w} - 1}{e^{2u_{w}} + 1}[/tex] < [tex]\frac{e^{2(-1.8366)}-1}{e^{2(-1.8366)} + 1}[/tex]

[tex]\frac{e^{-3.7164}-1}{e^{-3.7164} + 1}[/tex] < [tex]\frac{e^{2u_w} - 1}{e^{2u_{w}} + 1}[/tex] < [tex]\frac{e^{-3.6732}-1}{e^{-3.6732} + 1}[/tex]

[tex]\frac{0.02432-1}{0.02432 + 1}[/tex] < [tex]\frac{e^{2u_w} - 1}{e^{2u_{w}} + 1}[/tex] < [tex]\frac{0.025395-1}{0.025395 + 1}[/tex]

[tex]\frac{-0.97568}{1.02432}[/tex] < [tex]\frac{e^{2u_w} - 1}{e^{2u_{w}} + 1}[/tex] < [tex]\frac{-0.974605}{1.025395}[/tex]

-0.9525 < [tex]p[/tex] < -0.9505

Therefore,  95% confidence interval for the population is; -0.9525 < [tex]p[/tex] < -0.9505

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