ABCD is a rectangle in which AD = (2x + 1) cm and DC = (3x - 2) cm. PQRS is a trapezium in which PQ is parallel to SR, PQ = (x + 2) cm, SR = (5x − 8) cm and the shortest distance between PO and SR is (4x – 11) cm. The area of ABCD is twice the area of PQRS. Write down an equation in x to represent this information and show that it simplifies to 18x²89x + 68 = 0.​

Answers

Answer 1
The answer would be
x=4
or
x=17/18
Answer 2
Hello hope this helps you! for this question, key concept is for you to know what’s the formula of a rectangle and a trapezium and from there you’ll be able to solve it! feel free to clarify if needed!
ABCD Is A Rectangle In Which AD = (2x + 1) Cm And DC = (3x - 2) Cm. PQRS Is A Trapezium In Which PQ Is

Related Questions

whats 2 + 2 will give brainliest!

Answers

Answer: 4

Step-by-step explanation:

first put 2 fingers up

then with the other hand put 2 more fingers up

then count and you get 4

or you could use a calculator

The answer to the question is four

The scatter plot below represents the weight of a box of cookies based on the number of cookies in the box. A best-fit line shows the relationship.

Answers

Answer:

a. true

b. false

c. false

d. false

e. true

Step-by-step explanation:

a is true because the graph is measuring the weight of the box based on the number of cookies in it, and the box has weight even without cookies in it.

b is false because the slope of the line is 1/2, and each cookie weighs 1/4 oz.

c is false because there is an association between the number of cookies and the weight of the box.

d is false because that is the weight of one cookie, and doesn't take into account the weight of the box by itself.

e is true because the graph shows that at 13 cookies, the box weighs around 3.75 ounces.

1.true
2.false
3.false
4.false
5.true

The diagram below shows a solid consisting
of a cone and a cylinder with a common
base. Find the
(a) volume of the solid,
(b) total surface area of the solid.
(Leave your answer in terms of TT

Answers

Answer:

A.) 15984.42cm^2/5088πcm^3

B.) 3466.56cm^2/1104πcm^2

Step-by-step explanation:

A.) fine the V of the cone and then cylinder then add them.

B.) The cone you have to find the LA (lateral area) to do that you would do is find S (slant) so you would do 12^2+16^2 which is 400 then u have to find the square root of it which is 20 which is that slant of the cone. After that you would do 12x20 which gives 240 that would be the LA of the cone.

Then you would find the LA of the cylinder which you have to do is 30x12 which is 360 then multiply it by 2 which gives 720.

Lastly you find the area of the base which in this case is a circle and that would be 144 add all of them then get the SA

B is the answer if you need help yup

ASAP I NEED AN ANSWER

Answers

Answer:

His brother gets 8 apples

His friends gets 4 apples

He gets 12 apples

Step-by-step explanation:

brother: friend himself::total

2                1          3        2+1+3 = 6

He has a total of 24 apples

24/6 = 4

Multiply each term by 4

brother: friend himself::total

2*4           1*4        3*4        6*4

8                4          12           24

His brother gets 8 apples

His friends gets 4 apples

He gets 12 apples

8brother :4 friend :12 for himself

The table shows the change in temperature each hour for four hours. Find the total change C in temperature.

Change in Temperature
7 A.M. - 8 A.M. −3°F
8 A.M. - 9 A.M. −1°F
9 A.M. - 10 A.M. +2°F
10 A.M. - 11 A.M. +8°F

Answers

Answer:

6

Step-by-step explanation:

-3 -1 +2 +8 = -4+10 = 6

Total change= 6 ( by finding average)

(Will l give 25 points!) Solve the system of linear equations by substitution. -8x + y = 5 and 5x - y = 3

Answers

Answer:

x = -8/3 and y = -49/3

Step-by-step explanation:

(Step 1) To solve using substitution, you first need to isolate a variable in one of these equations. I chose to isolate "y" in the following equation.

-8x + y = 5                                        <--- Original equation

y = 5 + 8x                                         <--- Add 8x to both sides

(Step 2) Now, substitute (5 + 8x) for "y" in the second equation.

5x - y = 3                                          <--- Original equation

5x - (5 + 8x) = 3                               <--- Substitute 5 + 8x for "y"

5x - 5 - 8x = 3                                  <--- Distribute (-) in the parentheses

-3x - 5 = 3                                        <--- Combine terms with "x"

-3x = 8                                              <--- Add 5 to both sides

x = -8/3                                             <--- Divide both sides by -3

(Step 3) Since you know the value of "x", plug it into one of the equations to solve for "y".

y = 5 + 8x                                         <--- Original (rearranged) equation

y = 5 + 8(-8/3)                                   <--- Plug (-8/3) for "x"

y = 5 - 64/3                                       <--- Multiply

y = 15/3 - 64/3                                   <--- Convert 5 into a fraction

y = -49/3                                           <--- Subtract

(Step 3.5) You can check your work by plugging "y" into the other equation to see if the answer for "x" is the same.

5x - y = 3                                             <--- Original equation

5(-8/3) - y = 3                                      <--- Plug (-8/3) for "x"

-40/3 - y = 3                                        <--- Multiply

-40/3 - y = 9/3                                     <--- Convert 3 into a fraction

-49/3 - y = 0                                        <--- Subtract both sides by 9/3

-49/3 = y                                             <--- Add both sides by "y"

The value of the system of equations is x = -8/3 and y = -49/3.

this question is hard what the heck

Which is the answer A- D ?

Answers

Answer:

B.

Step-by-step explanation:

Inequality:

-3b - 15 > -24

The dot must start at -3 (-3b).

Which would be B.

Then, we solve this inequality:

-3b - 15.

Solve:

-3b - 15= 18b18b > -24.Hence, the answer is B.

The best and well proven answer is B

I need some help on this, please. I already did the first problem. Here are the directions:

Write and solve a proportion to answer the question.
34 is 75% of what number?

34w= 12/16

w= what?

Can anyone please help me?

Answers

Answer:

Write and solve a proportion to answer the question.

34 is 75% of what number?

34w= 12/16

w= what?

Can anyone please

Step-by-step explanation:

Answer:

45.33

Step-by-step explanation:

Graphing Coordinates

I already have the numbers just please put them on the graph that’s all!

I’ve been so stressed this will help so much

Answers

The coordinates that you have written are wrong. Like I have stated in my previous answer, you need to multiply the windows coordinates by 2 to find the scale factor of 2.
The coordinates that WOULD be correct are:

Answer all 4 questions and ill mark brainiest when I can thanks

Answers

Abca. Is the correct answer
abca is are the right answers lmk if you need work too :)

Rachel enjoys exercising outdoors. Today she walked 5 2/3 miles in 2 2/3 hours. What is Rachel’s unit walking rate in miles per hour and in hours per mile?

Answers

5 2/3 divided by 2 2/3 = 17/3 divided by 8/3 = 17/8 = 2 1/8 miles per hour

2 2/3 divided by 5 2/3 = 8/3 divided by 17/3 = 8/17 hours per mile

Answer:

5 2/3 divided by 2 2/3 = 17/3 divided by 8/3 = 17/8 = 2 1/8 miles per hour

2 2/3 divided by 5 2/3 = 8/3 divided by 17/3 = 8/17 hours per mile

Step-by-step explanation:

how many inches is 20 yards?

Answers

Answer:

720

Step-by-step explanation:

1 yard = 36 inches

20*36

720

720inches

1yd = 36in

20 • 36

720in

PLEASE HELP ME WITH THIS T-T

Answers

Answer:

-6 < x [tex]\leq[/tex] 6

Step-by-step explanation:

-5 < [tex]\frac{x-4}{2}[/tex] [tex]\leq[/tex] 1

Multiply all the sides by 2

-10 < x-4 [tex]\leq[/tex] 2

Add 4 to all the sides

-6 < x [tex]\leq[/tex] 6

Answer:

-6 < x < 6

Step-by-step explanation:

either way its still higher than -5 and lower than 1

Can any of you math wiz help me I am having trouble.

Answers

Answer:

1 - True

2 - False

3 - False

4 - True

Step-by-step explanation:

N/A

1) True 2) False 3) False 4)True

Question
You made a cone-shaped paper funnel to get all of the glitter back in the original container. It has a slant height of 12 inches and a radius of 8 inches. About how many square inches of paper is used to make the cone?

Answers

Answer:

The answer is 301 square inches.

Step-by-step explanation:

Ur gonna need 301 square inches

How can I solve this?

Answers

The answer to your question is option E.
So what you do is your find find the volume of the cone (V=1/3*3.14*r^2)

Need help for all 3 questions

Answers

Answer:

1 is c

2 is a

3 is a

Step-by-step explanation:

just solved them

1. is C
2. is A
3. is A

HELPPPP PLSSSSSSSSS HELPPPPPP PLSSSSS.

Answers

Answer:

the answer is a, Charles Ives

That would be Charles Ives

622,620 people voted in the Lancaster City Council election. Each candidate received the
exact same number of votes. How many city council candidates could there have been?
Select all the possible numbers.
3
9
4
10
Jay
Submit

Answers

Answer:

All of the above

Step-by-step explanation:

I'm not sure, but if you divide the number of people by each candidate, you'll get a value that the number of candidates will equal the number of people. I repeat I'm not sure of my answer.

All of the choices are correct
622,620 ÷ 3 = 207,540
622,620 ÷ 9 = 69,180
622,620 ÷ 4 = 155,655
622,620 ÷ 10 = 62,262

All of them give answers that are whole numbers which can be divided equally by 3, 9, 4, and 10 candidates

A teacher would like to estimate the percentage of her students who play chess.

Which method should the teacher use to select the sample?


A. select all students who are currently in the chess club

B. use a computer to randomly select 30 student IDs from all her students

C. use a computer to randomly select 30 student IDs from all students

D. select every other student in her classes until she has selected a total of 30 students

Answers

Answer:

D

Step-by-step explanation:

because it's normal reasonal if it is wrong i will look for a better answer

Answer:

A. select all students who are currently in the chess club

Step-by-step explanation:

If the teacher randomly selects students, there is a greater chance that many don't play chess. But, if the teacher selects all the students who are currently in the chess club, most likely all of them play chess because they are in the chess club.

Type a digit that makes this statement true.
759,15 is divisible by 9.
Submit

Answers

Answer:

0

This is because for a number to be divisible by 9 all the digits should add up to a number divisible by 9. Since they already do you just put a 0.

0 is the divisivility value in this case/scenario

Please help me and please don’t answer if you don’t know pleaseee!!!!

Answers

Answer:

c

Step-by-step explanation:

It’s C. There are no outliners, it is not a cluster, and the dots are scattered into a curve.

(Will give 20 points) Find the solution to the system of equations by substitution. -4x + y = -10 and y = x + 2
Include process steps!

Answers

Using the quadratic equation, number out the 2 equations and find out x or y first in my solution, i find x first and than substitute x=4 into equation 2 to find y.
You can either substitute the y in the first equation and make it -4x+x+2, or you could make the first equation equal to 4x-10 (y=4x-10, move the -4x) then you could solve, and since you have two values of y so they’re both the same. This is how it would look like:
X+2=4X-10

A company mailed out 896,988 coupon booklets. The company sent the same number of
booklets to each city. How many cities could the coupon booklets have gone to?
Select all the possible numbers.
10
6
4
8
Submit
4

Answers

Answer:

4 and 6

Step-by-step explanation:

10 and 8 leave a remainder so can't be equal number of booklet

4 and 6
896,988 ÷ 4 = 224,247 for each city
896,988 ÷ 6 = 149,498 for each city
If you divide 896,988 by 10 or 8 the answer will not be a whole number

Match each set of equations with the move that turned the first equation into the second.

Answers

The order is 41523 my friend, hope it helps
41523 is the answer .

HELP ME HELP ME PLEASE

Answers

Answer:

  11126

Step-by-step explanation:

The mean of a set of data is another name for its average. It is the sum of the data, divided by the number of numbers in the sum.

__

If you use a calculator to help you with the computation of the addition or division, you may as well use the calculator's "mean" function to do the job.

The mean of the given 6 values is their sum, divided by 6. The units of the mean are the same as those of the contributors.

  (1117 +1409 +675 +536 +1398 +1621)/6 = 6756/6 = 1126 . . . . degrees F

The mean of the data is 1126 °F.

1,126 Fahrenheit. next time when you see the word “mean” add all the numbers together the divide by how many number there are. so in this case you add them all together the divide by six because there is six numbers.

To find the volume of a rectangular prism you multiply the 3 dimensions, length x width x height. What combination of numbers will give me a volume of 17?

Answers

1, 1 and 17. Since 17 is a prime number, there isn’t exactly numbers that are multiplied by each other that give 17.

Answer:

1, 1, 17

Step-by-step explanation:

17 is a prime number. This means the only factors are 1, and 17. This means that since only 17, and 1 multiply to 17, to get a volume of 17 you can only use 1, and 17 (1, 1, and 17)

Six less than two times a number is no more than 17.

This is for math I failed a math unit test it was 100 points I’m not the best at every subject even though I get A’s normally from my own work. But I really need help with this I have this question I need to do so I can try to get my grade up just a little bit before tomorrow because they take my device away at school and I don’t have time to do it later.
Thank you!
Also I need the

Write an inequality for each phrase.

Answers

6-(2x)=17 because less than means minus. So 6- two times a number. We don’t know what number so we use X as a variable to fill in for that number. We have to solve multiplication first because PEMDAS so we put the 2X in parentheses so it’s solved before we subtract 6! Then we put =17 because it says it is no more than 17, meaning it’s equal to 17!
6-(2x)=17 because less than means minus.
So 6-two times a number. We don't know
what number so we use X as a variable to fill
in for that number. We have to solve
multiplication first because PEMDAS so we
put the 2X in parentheses so it's solved
before we subtract 6! Then we put =17
because it says it is no more than 17,
meaning it's equal to 17!

a rectangular prisim measures 6m long and 3m wide. if the volume of the prisim is 162 m3 what is the hight of the prisim in meters? show your work

Answers

Answer:

the hieght is 9

Step-by-step explanation:

divide 162 by 6 and you should get 27 then divide 27 by 3

to check your answer multiply 9x6x3 and you are done!!!

The height would probably be 9

hurry ill give brainly

Answers

Answer:

10

Step-by-step explanation:

The answer is 10

Hope this helps
Other Questions
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Midas recognized him, and treated him hospitably, entertaining him for ten days and nights with an unceasing round of jollity.[2] On the eleventh day he brought Silenus back, and restored him in safety to his pupil. Whereupon Bacchus offered Midas his choice of a reward, whatever he might wish. He asked that whatever he might touch should be changed into gold. Bacchus consented, though sorry that he had not made a better choice.[3] Midas went his way, rejoicing in his new-acquired power, which he hastened to put to the test. He could scarce believe his eyes when he found a twig of an oak, which he plucked from the branch, become gold in his hand. He took up a stone; it changed to gold. He touched a sod; it did the same. He took up an apple from the tree; you would have thought he had robbed the garden of the Hesperides. His joy knew no bounds, and as soon as he got home, he ordered the servants to set a splendid repast on the table. Then he found to his dismay that whether he touched bread, it hardened in his hand; or put a morsel to his lip, it defied his teeth. He took a glass of wine, but it flowed down his throat like melted gold.[4] In consternation at the unprecedented affliction, he strove to divest himself of his power; he hated the gift he had lately coveted. But all in vain; starvation seemed to await him. He raised his arms, all shining with gold, in prayer to Bacchus, begging to be delivered from his glittering destruction. Bacchus, merciful deity, heard and consented. "Go," said he, "to River Pactolus, trace its fountain-head, there plunge yourself and body in, and wash away your fault and its punishment." He did so, and scarce had he touched the waters before the gold-creating power passed into them, and the river sands became changed into gold, as they remain to this day.Select a possible theme of the myth.a Gold is a symbol of wealth and authority in many cultures.b People who expect a reward for good deeds are selfish.c Money does not bring as much happiness as friendship.d Wishes are sometimes better when they don't come true. How did some southern whites deny justice to blacks during Reconstruction?Choose all correct answers.They passed the 13th Amendment denying citizenship to blacks.They passed laws restricting black voting and land ownership.They allowed groups such as the Ku Klux Klan to terrorize blacks.They forced black children to attend integrated schools in white neighborhoods.Also put it in the comments because the ads I try to play doesn't work Im Not Understanding! 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