how does the fact that a parallelogram has rotational symmetry demonstrates that opposite side of a parallelogram are congruent ?​

Answers

Answer 1

Answer:

See below.

Step-by-step explanation:

It is known that a parallelogram has rotational symmetry, rotated 180 degrees about it's center point. Now by definition a parallelogram is a quadrilateral with two pairs of parallel sides, hence it's name. If you were to take a look at the attachment below, you might see the connection.

Rotational Symmetry will make it so that side AB corresponds to CD, respectively AD and CB. The sides will coincide with one another after a 180 degree rotation, so that AB = CD, and AD = CB. Hence, in the same parallelogram, opposite sides are congruent.

Proved!

How Does The Fact That A Parallelogram Has Rotational Symmetry Demonstrates That Opposite Side Of A Parallelogram

Related Questions

What is the point-slope form of a line with slope -3 that contains the point (10,-1)?

A. y + 1 = 3(x+10)
B. y + 1 = 3(x-10)
C. y + 1 =-3(x-10)
D. x + 1 = -3(y -10)

Answers

Answer:

the point slope form is

y + 1= -3(x - 10)

solution is c

Please answer these simultaneous equations ASAP. Thank you (lots of points only for full answers)

Answers

Step-by-step explanation:

for number 4:

2x + 5y = -10

2x - y = 8

subtract it

6y = -18

y = 6/-18

y = -0.3

now go back to the first equation

2x + 5 x -0.3 = -10

2x -1.5 = -10

2x = -8.5

-4.25

x = -4.25, y = -0.3

hope this help

Answer:try to answer the rest on your own and if it is not clear, let me know

Step-by-step explanation:

Find the size of the final unknown exterior angle in a polygon whose other exterior angles are:
63', 64°, 82°, 49° and 58°

Answers

Answer: 44°

Step-by-step explanation:

The sum of the exterior angles of a polygon is 360°

If your polygon has six sides, the final angle will be:

= 360 - (63 + 64 + 82 + 49 + 58)

= 360 - 316

= 44°


Calculate the perimeter of this figure
to the nearest tenth.
P = [? ] ft

Answers

40.9 ft
You would add each side together 10 plus 10 is 20 then 20 plus 8.9 is 28.9 then 28.9 plus 8 is 36.9 plus four which is 40.9

Answer: 40.9

Step-by-step explanation:

help me with right answer plz

Answers

Answer:

13.5

Step-by-step explanation:

area: 1/2*[x1(y2 - y3) + x2(y3 - y1) + x3(y1 - y2)]

Which polynomial is prime?

Answers

HELLO MATE

HERE IS YOUR ANSWER

THE CORRECT ANSWER IS OPTION ( B )

HOPE IT HELPS.

PLEASE MARK AS BRAINLIEST AND FOLLOW ME .....

HELP ME PLEASE REALLY IMPORTANT OR ILL GET IN TROUBLE!! WILL MARK AS BRAINLEST IF YOU GET IT CORRECT!!

Answers

Answer: C, It stays the same.

Step-by-step explanation: If you simplify the ratio (the fraction) by canceling the t's, you get 2/1 or 2:1. This means that no matter the value of the variable t, the value of the expression will stay the same.

C is the answer .......

If the measure of angle 3 is equal to (2x + 6) and x = 7, which statements are true?
Check all that apply .

Answers

Answer:The measure of angle 6 is 20. The measure of angle 5 is 70. Angles 2 and 5 are complementary. Angles 1 and 4 are supplementary.

Step-by-step explanation:

Which elements in the same below are integers? -3,3.7,9,-7.34,2.83,5,56/7,-1

Answers

Answer:

Integers -3, 9, 5, 56/7, -1

Step-by-step explanation:

Integers are whole numbers that can be positive or negative. They do not have decimals.

A social scientist surveyed a random sample of male musicians at a university about their practice habits. The graph below displays the amount of time typically spent practicing their instrument daily.
Which of the following inferences can be made from the data?​

Answers

Answer:

C

Step-by-step explanation:

male musicians practice an avg 2/hrs a day

The inferences can be made from the data on average, male musicians practice for two hours per day. Then the correct option is C.

What is a histogram?

A diagram is made up of rectangles whose size is related to a variable's frequency and whose width is comparable to the training sample.

A social scientist surveyed a random sample of male musicians at a university about their practice habits.

The graph below displays the amount of time typically spent practicing their instrument daily.

From the graph, we can conclude that on average, male musicians practice for two hours per day.

Then the correct option is C.

More about the histogram link is given below.

https://brainly.com/question/16819077

#SPJ2

(35–34)(33+32) is divisible by 24;

Answers

problem decoded dude

answer is in attachment

Find the slope of the line that passes through (37, 57) and (38, -7).

Answers

Answer:

-64

Step-by-step explanation:

When given two points we can use the slope formula

m = (y2-y1)/(x2-x1)

   = (-7 -57)/(38-37)

    =-64/1

  = -64

-64
-7-57=-64
Divided by
38-37=1
Equals -65

Choose the correct simplification of the expression (5x^5)^2 5x^25 10x^10 25x^7 25x^10

Answers

Answer:

[tex]25x^{10}[/tex]

Step-by-step explanation:

[tex](5x^5)^2\\\\\text {Apply Rule: }(a*b)^n=a^n b^n\\\\(5x^5)^2=5^2(x^5)^2\\\\25(x^5)^2\\\\\text {Apply rule: } (a^b)^c=a^{bc}\\\\25(x^5)^2=\boxed{25x^{10}}[/tex]

In a football game, the home team scored 1 touchdown and one extra point during every quarter. How many points did the home team have at the end of the game?

Answers

Answer:

28 points

Step-by-step explanation:

A touch down is 6 points and an extra point is 1 point

There are 4 quarters

6+1 = 7

4 quarters

4*7 = 28

They scored 28 points

4.3cm round to 3 decimal places?

Answers

Answer:

0.4

Step-by-step explanation:

Which table represents a direct variation function?

Answers

The third table
Explanation:
6/4 = 1.5 , 9/6 = 1.5 , 12/8 = 1.5

Can you help me please. ​

Answers

Step-by-step explanation:

[tex]a) \\ (8 \times {10}^{ - 3} ) \times (2 \times {10}^{ - 4} ) \\ = 8 \times 2 \times {10}^{ - 3} \times {10}^{ - 4} \\ = 16 \times {10}^{ - 3 - 4} \\ = 16 \times {10}^{ - 7} \\ = 1.6 \times {10}^{ - 6} \\ \\ b) \\ (6 \times {10}^{ 2} ) \div (3\times {10}^{ - 5} ) \\ \\ = \frac{6 \times {10}^{ 2}}{3\times {10}^{ - 5}} \\ \\ = \frac{2\times {10}^{ 2}}{ {10}^{ - 5}} \\ \\ = 2 \times {10}^{ 2 + 5} \\ \\ = 2 \times {10}^{7} \\ [/tex]

What is the first step in simplifying the solution: log2 ^32 = x
Rewrite the equation as 2^x = 32
Find the square root of 32
Rewrite the equation as 2^32 = x
Find 32^2

Answers

Answer:

x=5

Step-by-step explanation:

log2^32=x

log2^2^5=x

5 log 2^2=x

5(1)=x

x=5

Which of the ordered pairs below satisfy the following equation. Check all that apply! ​

Answers

Answer:

A, B, and C

Step-by-step explanation:

By substituting each of the ordered pairs into the equation you can determine that A, B and C all satisfy the equation.

If Shane weighs 120 pounds and Johnny weighs 150 pounds.If Shanie gains 60 pounds will Shanie and Johnny be the same weight.​

Answers

Answer:

shane is 120 pounds and johnny is 150 pounds

Step-by-step explanation:

shane 120  and johnny gains weight 60 pounds so 120 plus 60 that is both of the together is 180  hope this helps you i think they maybe  be the same weight because together they are more  

Answer:

No, Shane will be heavier

Step-by-step explanation:

120 > 150

120 + 60= 180

180 > 150

salem had to withdraw 28.50 from his bank account every week for 5 weeks to pay a purchase. what number represents a change in his bank account

Answers

Answer:

Okay so he had to withdraw 28.50 from his bank account every week so that means he withdrew 142.5 that in 5 weeks

Step-by-step explanation:

Tim and jane both work for a company that sells boxes of breakfast cereal the boxes of cereal cost 3 pounds and the amount of cereal in each box weighs 160g the company wants to have a special offer here is Tim's idea for the special offer: PUT 25% MORE CEREAL IN EACH BOX AND DO NOT LOWER THE PRICE here is Jane's idea: REDUCE THE PRICE AND DO NOT CHANGE THE AMOUNT OF CREAL IN EACH BOX Jane wants her idea to give the same value of money as Tim's idea by what percentage does she need to reduce the price?

Answers

Answer:

In order to give the same value for money as Tim's idea, Jane has to reduce the price by 25%

Step-by-step explanation:

The given  parameters are;

Cost of each box of breakfast cereal = 3 pounds

Amount of cereal in each box of breakfast cereal = 160 g

160 g of cereal = 100%

25% of one box of cereal = 25% of 160 g = (25/100)×160 g= 40 g

Given that Jane wants her idea to give the same value of money as Tim's idea, we have;

160 g of cereal costs 3 pounds

1 g of cereal will cost 3/160 pounds

40 g of cereal will cost 40*3/160 = 3/4 pounds

Therefore, the percentage 3/4 pound is of 3 pounds = [tex]\dfrac{\frac{3}{4} }{3} \times 100 = 25 \%[/tex]

Which gives, Jane has to reduce the price by 25% to give the same value for money as Tim's idea.

To give the same value of money as Tim's idea, she need to reduce the price by 20%.

Given that:

Cost of one box of breakfast cereal is 3 pounds.

Weight of 1 box of cereal is 160g.

Tim's idea is to put 25% more cereal.

Let Jane's idea is to reduce price by x pounds such that the value of the item is same as that after applying Tim's idea.

Value in case of Tim's idea:

[tex]160g + \dfrac{160 \times 25}{100} \: \: in \: \: 3 \: pounds\\\\200g \: \: in \: \: 3 pounds\\1g \: \: in \: \: \dfrac{3}{200} \: pounds[/tex]

Value in case of Jane's idea:

[tex]160g \: \: in \: \: (3-x) \: pounds\\\\1g \: \: in \: \: \dfrac{(3-x)}{160} \: pounds\\[/tex]

Since values have to stay same, thus we have:

[tex]\dfrac{3}{200} = \dfrac{3-x}{160}\\\\\dfrac{12}{5} = 3-x\\\\5x = 3\\\\x = \dfrac{3}{5}\\\\x = 0.6 \:pounds[/tex]

To calculate percentage, we can do as follows:

[tex]\begin{aligned}percentage &= \dfrac{x \times 100}{3}\\&= \dfrac{60}{3}\\&= 20\end{aligned}[/tex]

Thus,  to give the same value of money as Tim's idea, she need to reduce the price by 20%.

Learn more here:

https://brainly.com/question/8011401

4.(06.02 MC)
Write an equation of a line that passes through the point (3, 2) and is parallel to the line y = 3x - 4. (5 po
y = 3x + 7
y = 3x - 7
y =
x + 2
O y = fx-2

Answers

Answer:

y = 3x-7

Step-by-step explanation:

Lines that are parallel have the same slopes.  

y = 3x-4  ---> y=mx+b (slope = m=3)

 

point-slope formula for a line:  y - y1 = m(x-x1)

 slope=m=3

(3,2)----> (x1,y1)

y - 2 = 3(x-3)

y - 2 = 3x-9

y = 3x-7

Penny earns $580 more than half of Karen´s salary. If p represents Penny´s salary, write an expression that represents the amount of money Karen earns in relation to Penny.

Answers

Answer:

[tex]\frac{p}{2} + $580[/tex]

Step-by-step explanation:

p = Penny's salary

Karen's salary = $580 more than half of p

We can use the fraction [tex]\frac{p}{2}[/tex] to represent half of p.

Since Karen's salary is $580 more, her salary is $580 + [tex]\frac{p}{2}[/tex] .

Answer:

heyyyy

Step-by-step explanation:

Explain how you can determine that the following system has one unique solution – without actually solving the system.

2x+y=4
2y=6-2x

Answers

Answer:

Step-by-step explanation:

Well, first you'd have to get the equations in slope-intercept form in order to make it easier for you to see it in the bigger picture. 2x+y=4 would be y= 2x-4, and the other equation would be y= x-3. If you were to solve it, there would be one solution since the y's cancel out. If you graphed it, there would be a point of intersection, unlike when the lines are parallel if there's 0 solutions or only one line's there if there's infinitely many solutions.


HURRY PLS!!!

which expression is equivalent to 3(b+ c) using only the distributive property?

3bc

3(c+b)

3b+3c

(b+c) • 3

Answers

Answer:

3b + 3c

Step-by-step explanation:

hope this helps you

Answer:

3(c+b)

Step-by-step explanation:

3(b+c) is essentially 3 times B+ 3 times c

and 3(c+b) is 3 times c + 3 times B

Which of the following pairs of functions are inverses of each other? A)f(x)=2x-9 and g(x)=(x+9)/(2) B)f(x)=(2)/(x)-6 and g(x)=(x+6)/(2) C)f(x)=(x)/(3)+4 and g(x)=3x-4 D)(x)=5+\root(3)(x) and g(x)=5-x^(3)

Answers

Answer:

A)f(x)=2x-9 and g(x)=(x+9)/(2)

Step-by-step explanation:

f(g(x)) =x for inverses

A)f(x)=2x-9 and g(x)=(x+9)/(2)

2(x+9)/2) -9 = Canceling the 2  x+9 -9 = x   inverse

B)f(x)=(2)/(x)-6 and g(x)=(x+6)/(2)

2/(x+6)/2 ) -6 =4/(x+6) - 6  This will not give me x

C)f(x)=(x)/(3)+4 and g(x)=3x-4

(3x+4)/3  -4  = x + 4/3   -4    This will not give me x  

D)(x)=5+\root(3)(x) and g(x)=5-x^(3)

5 + cuberoot ( 5-x^3)  This will not give me x back

Answer:

2x-9 is the inverse of x+9/2

Step-by-step explanation:

Assume that when adults with smartphones are randomly selected, 49% use them in meetings or classes. If 30 adult smartphone users are randomly selected, find the probability that exactly 23 of them use their smartphones

Answers

Answer: 0.0013684

Step-by-step explanation:

Given the following :

Probability (p) = 49% = 0.49

Number of selected adults (n) = 30

Find the probability that exactly 23 use their smartphone.

The problem is abive can be solved using the binomial probability function.

Binomial probability :

P(X = x) = [n! / x! (n-x)!] * P^x * (1 - P)^(n-x)

At x = 23

P(X = 23) = [30! / 23! (30-23)!] * P^23 * (1-0.49)^(30-23)

P(X = 23) = [30! / 23! (7)!] * 0.49^23 * (0.51)^7

P(X =23) = (2035800) × 6.72203E−10

= 0.0013684

Use the fundamental theorem of algebra to explain how many roots your expression can have. How many real roots and how many complex roots are possible?
(X+12)^9.

Answers

Answer:

hi

Step-by-step explanation:

I need helppppppppppppp

Answers

Answer:$140 for the train ride

$84 for the museum

Step-by-step explanation:

28×5

28×3

All the students + you = 28

If not, try 27×5 and 27×3

Answer:

$216 for the Train Ride and visit to the Museum.

Step-by-step explanation:

There are two values to find and add together.

o The admission cost for the Museum

o The admission cost for the Train Ride

Let's make some equations.

x=number of people

Museum: 3x=total cost for Museum (m)

Train Ride: 5x=total cost for Train Ride (t)

m+t= total money spent

Now, let's replace the values.

Museum: 3(27)=$81

Train Ride: 5(27)=$135

$81+$135=$216 for the Train Ride and visit to the Museum.

Hope this helps!

-Emma

Other Questions
Eastern University had the following transactions at the beginning of its academic year: Student tuition and fees were billed in the amount of $7,150,000. Of that amount $4,620,000 was collected in cash. Pell Grants in the amount of $2,012,000 were received by the university. The Pell Grants were applied to student accounts. Student scholarships, for which no services were required, amounted to $570,000. These were applied to student tuition bills at the beginning of each semester. Required: Prepare journal entries to record the above transactions assuming: a. Eastern University is a public university. b. Eastern University is a private university. In the early 1600s, what role didJohn Smith play in the Jamestownsettlement in Virginia.A. He was the settlement's blacksmith.B. He represented the settlement in England.C. He was the settlement's leader. If a translation maps point (3, 2) to (5.3); or T:(3, 2) - (5, 3), indicate the image for (2, 4). Air is used as the working fluid in a simple ideal Brayton cycle that has a pressure ratio of 12, a compressor inlet temperature of 300 K, and a turbine inlet temperature of 1000 K. The properties of air at room temperature are cp = 1.005 kJ/kgK and k = 1.4. Determine the required mass flow rate of air for a net power output of 70 MW, assuming both the compressor and the turbine have an isentropic efficiency of: a. 100 percent b. 85 percent. On January 1, 2018, the Prepaid Insurance account of Dogwood, Inc. had a beginning balance of $ 1,800. Three months of insurance premiums remain in this beginning balance. On February 21, 2018, the company paid an annual insurance premium in the amount of $ 4,100 for the period beginning March 1. On February 28, 2018, the balance in Prepaid Insurance is $ 1,200.A. TrueB. False 50 C of negative charge is placed on an insulating pith ball and lowered into a insulating plastic container, suspended from an insulating thread attached to the lid of the box. After the box is entirely sealed, the electric flux through the sides of the box is:_______ a. 5. 65 Times 10^6 N m^2/C. b. 5. 65 Times 10^5 N m^5/C. c. -5. 65 Times 10^6 N m^2/C. d. 50 x 10^-6 N m^2/C. e. -5.65 Times 10^5 N m^2/C. f. Can't tell unless the dimensions of the box are given. Explain surface and deep culture of education? (give one example for each).I Need Two Examples One For Surface And One For Deep Culture... How did President Clinton react when military leaders in Haiti overthrew Aristide? He threatened to invade Haiti if Aristide wasnt returned to power. He offered to extend American citizenship to Aristide. He immediately sent US troops to Haiti. He withdrew American troops from Haiti. I need help to solve this grid question eBookThe manager of the Danvers-Hilton Resort Hotel stated that the mean guest bill for a weekend is or less. A member of the hotel's accounting staff noticed that the total charges for guest bills have been increasing in recent months. The accountant will use a sample of future weekend guest bills to test the manager's claim.a. Which form of the hypotheses should be used to test the manager's claim how big is New York city The Chinese invented of all of the following, except ________ . a. gunpowder c. the astrolabe b. paper money d. the magnetic compass help me with the right answer What was the name of the language spoken by the Inca in AD 1400 What evidence provided supports the claim that "a high level of testosterone provides an unfair advantage in womens athletics? is this adequate evidence? explain your answer. Which of the following statements is NOT a weight loss myth PLEASE HELP!!! ASAP!! Read and choose the option that best answers the question. Hola, amigos! Me llamo Rubn Suarez y vivo en el pueblo de Mendoza, Argentina. Hoy es sbado y mi padre est enfermo. Yo ayudo a mi padre a hacer las diligencias hoy. Mi padre me dice en su lista de diligencias: >. A las siete de la noche, la tienda de mi padre se cierra. Mi primo Humberto vive en los Estados Unidos. Su mam es estilista los sbados. Los fines de semana, mi primo maneja y devuelve los libros a la biblioteca. l tambin recoge la ropa en la lavandera. Despus de hacer las diligencias a las tres de la tarde, compra carne en el supermercado y cena una hamburguesa con su madre. Based on the text, what's a similarity between Rubn and Humberto? 1. The length of all the errands they assist with 2. The specific family situation they experience3. The type of traditional food they eat with the family 4. The transportation they use to do errands the interior angles of a Pentagon are (y+13),(y+15),(y+23),(y+29), and(y+40) a.Find the value of y b. Find the value of each interior angles What is the answer in these boxes which equation has no solution?