Mathematics High School

why is there always more than one parallelogram with the same area and base​

Answers

Answer 1

Answer:

If every line parallel to two lines intersects both regions in line segments of equal length, then the two regions have equal areas. In the case of your problem, every line parallel to the bases of the two parallelograms will intersect them in lines segments, each with a width of ℓ.

Answer 2

There are infinitely many parallelograms with the same area and base due to the variability of the height.

We have,

There is always more than one parallelogram with the same area and base because the height of the parallelogram can vary while keeping the base and area constant.

The formula to calculate the area of a parallelogram is:

Area = base × height

If the base and area of a parallelogram are fixed, we can rearrange the formula to solve for the height:

height = Area/base

Since the height can be any value as long as it satisfies the above equation, there are infinitely many possible heights for a given base and area.

And for each height, there will be a unique parallelogram with that base and area.

Imagine a rectangle as a special case of a parallelogram where all angles are 90 degrees.

For a given base and area, you can have an infinite number of rectangles by varying the height.

Each rectangle will have different side lengths, but they will all have the same base and area.

Thus,

The variability of the height while keeping the base and area constant allows for the existence of multiple parallelograms with the same area and base.

Learn more about parallelograms here:

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Related Questions

The shadows of two vertical poles were measured at the same time to be 6m and 15m long. If the first pole is 8cm long, find the height of the second pole

Answers

Answer:

20 cm

Step-by-step explanation:

Shadow of vertical poles : 6m ; 15m

Length of poles : 8cm ; h

8cm long pole = shadow length, 6m

h cm long pole = shadow length, 15 m

Using cross multiplication :

8cm * 15 m = h cm * 6m

120 = 6h

h = 120 / 6

h = 20 cm

Height of second pole = 20cm

need help to find X
thank you

Answers

Answer:

121

Step-by-step explanation:

Answer:

63.33 or 190/3

Step-by-step explanation:

1. vertical opposite angles are equal

2. corresponding angles some up to 180°

=> 3x - 20 + 10 = 180

=> 3x = 180+10

=> 3x = 190

=> x = 190/3

=> x = 63.333333333333333

PLEASE HELP ASAP! What is the slope of the line graphed below?
​

Answers

answer: the slope is 2 (D)

Answer:

6/3 simply so 2 your slope is 2

Step-by-step explanation:

Graph the image of rectangle EFGH after a reflection over the line x= –1

Answers

Answer:

G (1,7)

H (2,7)

F (1,-1)

E (2,-1)

Step-by-step explanation:

The image of rectangle EFGH after a reflection over the line x = –1 will cover the points G (1,7), H (2,7), F (1,-1), and E (2,-1).

What is a translation?

The process of changing the location of the image on the coordinate system will be known as the translation. A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis.

A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.

Given that graph the image of rectangle EFGH after a reflection over the line x= –1. Translated image of the points is attached with the answer below. The translated points are G (1,7), H (2,7), F (1,-1), and E (2,-1).

Therefore, the image of rectangle EFGH after a reflection over the line x = –1 will cover the points G (1,7), H (2,7), F (1,-1), and E (2,-1).

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A water tank holds 1,088 gallons but is leaking at a rate of 5 gallons per week. A second water tank holds
1,360 gallons but is leaking at a rate of 9 gallons per week. After how many weeks will the amount of
water in the two tanks be the same?
The amount of water in the two tanks will be the same in
weeks.

Answers

The first tank hold 1088 - 5t gallons of water after t weeks, while the seocnd tank holds 1360 - 9t gallons after t weeks.

Both tanks hold the same amount of water when

1088 - 5t = 1360 - 9t

Solve for t :

4t = 272

t = 68

So the tanks will hold the same amount of water after 68 weeks.

I need help with math here is the problem 3(2x+6)

Answers

Answer:

6x+18

Step-by-step explanation:

Step-by-step explanation:

Distribute the 3 to the 2X and 6:

3 x 2X + 6 x 3 = (3 x 2)X + 18 = 6X +18

what is the error in this polynomial x²+9=(x+3)(x+3)?​

Answers

Answer:

(x + 3i)(x - 3i)

Step-by-step explanation:

Wrong statement: x² + 9 = (x + 3)(x + 3)

Correct statement: x² + 9 = x² - (3i)² = (x + 3i)(x - 3i)

What is the answer to 10x2x5%20

Answers

I’m pretty sure 20 tell me if I’m wrong

Answer:

ITS 0

Step-by-step explanation:

What is the area of an isosceles triangle with side lengths of 22 and 66

Answers

Answer:

726

Step-by-step explanation:

66*22/2=726

Please answer please.

Answers

Answer:

Triangles are not similar.

Step-by-step explanation:

Properties of the similarity of two triangles,

1). Corresponding angles of two triangles are equal in measure.

2). Corresponding sides of the similar triangles are proportional.

From the given triangles,

- Corresponding angles of the given triangles are not equal in measure.

- Ratios of the corresponding sides,

 [tex]\frac{KM}{XY}=\frac{CM}{RY}= \frac{KC}{XR}[/tex]

[tex]\frac{53}{53}= \frac{54}{53}= \frac{64}{53}[/tex]

But these ratios are not equal.

Therefore, both the triangles are not similar.

Solve for x . Round to the nearest 100th if needed.
11/ x + 18 = 34

Answers

Answer:

x = 0.69

Step-by-step explanation:

11/x + 18 = 34

11/x = 16

11 = 16x

x = 0.6875 = 0.69

Please help me with this

Answers

Answer:

1) equation is set up to determine when the cost of printing at home is the same as the cost of printing at the office

2) p = 500 means that, at printing 500 pages, the costs of home versus office printing are the same

Step-by-step explanation:

Answer:

1) No, it does not represent the story.

2) It represents the number of pages.

Step-By-Step Explanation:

1) It has nothing to do with the story.

2) It says: Let p represent the number of pages

Answer the photo below thanks

Answers

Answer:

C. 36 degrees

Step-by-step explanation:

90 + 54 = 144

180 - 144 = 36

you were correct

A triangle’s angles add up to 180.

180 - 90 - 54 = 36.

You selected the right answer.

Two learners are planning to make baskets to raise money for the honors society at their school. Marcia will make baskets out of palms. Norma plans to make baskets out of pine straw. Together, they have $100 to spend on supplies.

The palm baskets cost $4 to make and will sell for $20.
The pine straw baskets cost $3 to make and will sell for $17.
The learners agree that they will each make at least 14 items. Let x represent the number of palm baskets and let y represent the number of pine straw baskets.

Answers

Answer:

3

Step-by-step explanation:

Pretty sure it is the third but sorry if im incorrect

Need help ASAP giving 55 points and a branlist

Answers

Answer:

There are 54 squares on a rubix cube

Step-by-step explanation:

each side has 9 squares, and there are 6 sides, so you multiply 9x6 wich equals 54, so your answer would be

54 squares

Hope this helps! :)

The value of an antique car is modeled by the function V\left(t\right)=10700\ \left(1.125\right)^t , where t is the number of years since 2005.

By what percent rate is the value of the car increasing per year?

a
125%
b
12.5%
c
1.125%
d
0.125%

Answers

Answer:

its c i think

Step-by-step explanation:

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‍ ‍ ‍ ‍ ‍

Answers

Answer:

Step-by-step explanation:

A,B and D

car covers x plus 2 kilometre in 1 litre how much distance it will covers in Y litres​

Answers

Answer:

y km = (x+2)y km

Step-by-step explanation:

Given that,

A car covers (x+2) kilometre in 1 litre.

We need to find the distance it will cover in y litres.

1 litre = (x+2) km

y km = (x+2)y km

Hence, it will cover (x+2)y km in y litres.

please help I have an hour to complete

Answers

Answer:

proportional

:)

HELP ME PLEASE! i'll give u brainliest

Answers

Answer:

D. Hope that helps!

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

It is D because all fractions are rational numbers, and numbers with decimals can also be fractions, so its like multiplying a fraction with a fraction, It would still be a rational number.

yo 20 points! pls help me out

Answers

Answer:

the top one would be -40x+24, bottom one is x=12

Step-by-step explanation:

uwu

Answer:

a. -40x + 24

b. x = 4

Step-by-step explanation:

-8 * 5x = 40x, -8 * -3 = 24

-5 * -x = 5x

-5 * 4 = -20

40 - 20 = 20

20/5 = 4

Ron purchases $32,000 worth of stock on his brokers advice and pays his broker a 1.25% broker fee. How much did he pay his broker! Show work please !!

Answers

Ron would have to pay his broker $400 because 1.25 percent of 32,000 is 400
32000 x 0.0125 = 400

Whos your favorite character from Miraculous Ladybug?! mines Alya and of course cat noir he kinda cute

Answers

Answer:

CAT NOIR

He's cool and my cousin's fav characters LOL

Step-by-step explanation:

um, he's cool i guess?

Answer:

I like Mari and Luca bc he is rlly cute for me

6 Work out the sizes of the angles labelled rº, sº and tº.
Plzzzz help I suck at geometry

Answers

Answer:

t = 30

s = 25

r = 55

Step-by-step explanation:

Let's begin by r

r is angle in quadlitral shape, so the sum of the interior angles = 360

r = 360 - (95 +100+110) = 55

Then Now it's time for  ( t )

Look at the triangle whose angles are r, 95 and t. The sum of the measures of the interior angles of triangle is 180

so t = 180 - ( 95 + r) = 180 - (95 + 55) = 30

Similarly, look at the triangle whose angles are r, s and 100

s = 180 - (100 + r) = 180 - (100 + 55) = 25

I hope you find this helpful! If you have any questions, please feel free to ask them in the comments

Four students are reading books with different numbers of pages. The table shows the number of pages each student has read. Drag each name to order the students from the lowest percentage of their book read to the highest percentage of their book read. Pages Read Total Number of Pages Elliot 105 175 = Elliot Frankie 165 300 Hayden 88 220 = Frankie Ruth 117 260 = Hayden = Ruth​

Answers

Answer:

i think is 434.54

Step-by-step explanation:

Answer:

434.54

Step-by-step explanation:

3. Use distributive property to simplify
a. (-6) * [(-12) + (25)]
C. (+6) * [(-17) + (+28)]
e. (+7) * [(-12) – (+6)]
Solve this answer with solution please ​

Answers

Answer:

see the answers

Step-by-step explanation:

to understand thisyou need to know about:PEMDAStips and formulas:

orders of PEMDAS:

parenthesesexponentmultiplication ordivisionaddition orsubstractionleft to rightlet's solve:

a)

remove first parentheses and add: -6×[-12+26] =-6×[14]remove third parentheses and multiply:-6×14=-84

c)

remove first parentheses and add:(6)×[-17+28]=6×[11]remove third parentheses and multiply: 6×11=66

e)

remove first parentheses and substract:7×[-12-(6)]=7×[-12+(-6)]=7×[-18] multiply:7×[-18]=-126

please simplify √16bx⁴​

Answers

Answer: 4bx^2

Step-by-step explanation:

Answer:

Hey there!

I got the answer

4bx^4

Step-by-step explanation:

All you have to do is simplify the radicand up into a product of known factors , assuming positive real numbers.

Need help!!!! ahaaaaaa

Answers

Answer:

Not sure if I am right but this is what I did. I have attached a picture of me solving the equation. Hope this helps, thank you !!

Divide 600 kg into 2 boxes so that one box has twice as much in it as the other box. How
much is in the heavier box?
Help please

Answers

Answer:

200 box 1 / 400 box 2

box 2 Step-by-step explanation:

200 + 400 = 600

Answer:

Hello asuna here

600 would be your answer

Step-by-step explanation:

Hope this helps

Solve for a.

6a−15=72

A.12
B.27
C.14 1/2
D.9 1/2

Answers

The answer is 14.5 or 14 1/2. This is done by

6a-15=72
add 15 to both sides
6a = 87
Divide 6
a = 14.5

Answer:C

Step-by-step explanation:

Other Questions
[tex] \color{red} \sf Solve \: for \: x : \\ \sf \: \: 4x + 2 = -8?[/tex]Thank uh ! complete the dialogues Read the article below and take notes using one of the methods you learned about in your previous lessons. Submit a picture of your notes using the dropbox below.In June 2020, an Australian scuba diver was diving near Bondi Beach when he saw something unusual. As he was setting up to photograph a sea spider on a rock, he noticed some blue flashing rings. Looking more closely, he saw that the rings were on a small octopus. Luckily, he knew to stay far away. He was inches away from a southern blue-ringed octopus, one of the most venomous sea creatures in the world!Sometimes, the most dangerous animals come in the smallest packages. This is definitely true for the southern blue-ringed octopus. This small animal usually only reaches a length of 8-10 inches. It usually looks like a common, small octopus. When it does not feel threatened, its skin is a light brown color. However, if a predator makes the octopus feel threatened, its skin will start to pulse with bright blue rings. This is how the octopus gets its name. When a predator sees this, its a visual sign, telling it to back away. If the predator doesnt take the hint, the southern blue-ringed octopus might use its venom.The venom that the southern blue-ringed octopus releases is more deadly than any venom released by land animals. Venom is different from poison. The venoms of many octopuses dont immediately kill their victims. Instead, many of these venoms paralyze their victims. This means that the animal injected with the venom from one of these octopuses cannot move or defend itself. Eventually, the venom paralyzes the animals whole body, even its heart, so it dies. All octopuses are venomous, but the southern blue-ringed octopuss venom is especially strong.If the southern blue-ringed octopus feels threatened, it will use its venom in one of two ways. Sometimes, the octopus bites its victims, injecting them directly with venom. Other times, it will release a cloud of venom into the water. The other animal absorbs the venom through its gills. This venom is produced by bacteria in the octopuss salivary glands. Those are the glands that produce saliva. People also produce saliva, which is the liquid in their mouths. However, unlike people, the saliva of the southern blue-ringed octopus has a toxin in it that causes muscle paralysis in the octopuss victims. The southern blue-ringed octopus also uses its venom to hunt for prey. Like other blue-ringed octopus species, it mostly eats crustaceans, like small crabs and shrimp.The southern blue-ringed octopus can be found along Australias southern coast. The octopus is usually found in tidal pools or in shallow areas near reefs. If you see a southern blue-ringed octopus, watch out! It has enough venom in its body to kill 26 adult humans. Although theyre extremely deadly, these octopuses are not aggressive. In fact, they are often described as shy creatures. They usually hide under ledges and rocks to try to avoid interaction with larger animals. Usually, the only times they hurt humans is when they are picked up or stepped on.Passage from ReadWorks.org A client is prescribed tamoxifen, 20 mg by mouth twice per day for treatment of breast cancer. The client reports to the nurse that she has worsening bone pain. How should the nurse respond Which of the following statements is accurate about antidiuretic hormone (ADH) Drag one black mouse and one white mouse in into the parent squares. What is the phenotype of all of the offspring? A.FfB.FfC.BlackD.ffE.white A graduate nurse is assessing a client with meniere's disease and a positive romberg's sign. What is the nurse's highest priority when delivering care? How did political symbols such as propaganda posters affect the home front in world war i? 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A handsfree device may be used if it can be activated or deactivate with a? Earth's ______ is divided into ______ tectonic plates. It is easy for investors to buy securities from companies almost anywhere in the world because: