Use the definition of a parallelogram to complete the biconditional statement.

A parallelogram is a quadrilateral with two pairs of parallel sides.

A quadrilateral is a parallelogram _[blank]_.

Which answer correctly fills in the blank in the previous sentence?


if it has two pairs of parallel sides and is a polygon


if and only if it has two pairs of parallel sides


because it has only four sides and two of them are parallel


if it has only two pairs of parallel sides

Answers

Answer 1

Answer:

if and only if it has two pairs of parallel sides

Step-by-step explanation:

The definition says that a paralellogram is a quadrilateral with two pairs of parallel sides. That means that  the only way to have a paralellogram is to have a quadrilateral with two pairs of parallel sides. If we have a quadrilateral with only one pair of parallel sides, then it is not a parallelogram.

This translates to the following statement "a quadrilateral is a parallelogram if and only if it has two pairs of parallel sides". Meaning that if we have a parallelogram we know we have a quadrilateral with two pairs of parallel sides and if we have a quadrilateral with two pairs of parallel sides we have a parallelogram.


Related Questions

Which is the angle measure represented by 2 rotations counterclockwise?
a. -1080°
C. 1080°
b. -720°
d. 720°

Answers

-720 because counter clockwise it would be 720 which is 360 times 2 but since it is backwards it’s -720.
I think it is a

Explanation is counterclockwise means going bakwards so that might be right

What is the probability of rolling an even an a die and drawing a face card from a standard deck of cards

Answers

Answer:

3/26

Step-by-step explanation:

Assuming this is a six-sided die, the probability of rolling an even number is 3/6 or 1/2. Then the probability of drawing a face card is 12/52 or 3/13. To find the probability of both you need to multiply them by one another an you get 3/26 or 11.5 percent.

what is the excluded value of this?

Answers

The value of this would be x+1.5. I have got this because 8/8=1 and 12/8=1.5.

30 POINTS PLEASE ANSWER CORRECTLY AND CLEARLY THANK YOU!
Which expression represents the growth of an investment of $1,500 at 12% per year for a period of t years?

A. 1500(12)t
B. 1500(0.12)t
C. 1500t1.12
D. 1500(1.12)t

Answers

Answer:

B

Step-by-step explanation:

The investment grows by 12 percent every year. Therefore, if you multiply the 1500 by 0.12 you should get the value of the amount of extra money made in one year. If you substitute 2 into t you get the value increased by year 2 and so on.

Answer:

the correct answer is b

Step-by-step explanation:

just got it right on egduniuty

What is 45 as a binary code and how do I find its out

Answers

Answer:

101101

this is the answer!

Esperanza decided to purchase a vehicle with a 15999 MSRP at a 4% interest rate for 6 years the dealership offered her a 1700 cash-back incentive what she accepted taking all these factors into consideration what monthly payment amount can she expect​

Answers

Answer:

$223.71

Step-by-step explanation:

We are given the following information

Manufacturer's suggested retail price (MSRP)=$15999Cash-back incentive=$1700Annual Interest Rate=4%=0.04Loan Duration=6 years

We use the loan repayment formula

Monthly Payment, [tex]A=\dfrac{P*r(1+r)^n}{(1+r)^n-1}[/tex]

Where:

Loan Amount, P=15999-1700=$14,299Monthly Interest Rate, r=0.04/12Total Number of Months, n=12 X 6 =72 Months

[tex]A=\dfrac{14299*\frac{0.04}{12}(1+\frac{0.04}{12})^{72}}{(1+\frac{0.04}{12})^{72}-1}\\=\$223.71[/tex]

Esperanza can expect to pay $223.71 monthly.

To the nearest square centimeter, what is the area of the shaded sector in the
circle shown below?

Answers

Answer:

87 cm2

Step-by-step explanation:

A

Answer:

[tex]87 \: {cm}^{2} [/tex]

Step-by-step explanation:

I just did the test

Mimi earns a 15% commission on any sales she earns.
Based on the information, which equation below represents total commission, c, for any given sale, S.
A c = s(1.5)
B. c = s(0.15)
.
Cc=s-s(0.15)
D. c= 150

Answers

Answer:

Its B

Step-by-step explanation:

What is the solution to the equation?
2/3a - 1/6 = 1/3

Answers

Answer:

a in this equation would be 3/4 because...

Step-by-step explanation:

2/3a−1/6=1/3

2/3a+−1/6=1/3

2/3a+−1/6+1/6=1/3+1/6

2/3a=1/2

Multiply both sides by 3/2.

(3/2)*(2/3a)=(3/2)*(1/2)

a=3/4

Hope this helps!

the correct answer is 3/4

Choose the right answer.



Which year had a decrease in profit between months 3 and 4?
Last year
This year

Answers

Step-by-step explanation: last year

Answer:

Last Year

Step-by-step explanation:

If you take a look at the red and blue lines in between the numbers 3 and 4 at the bottom of the graph, you can see that the profit for the red line (last year) is decreasing while the profit for the blue line (this year) is increasing. Last year (red line) had a decrease in profit between months 3 and 4.

A mayor wants to determine if the people in his city think that he is doing a good job. Which choice BEST represents the population? A) Voters age 21 to 35. B) All the local business owners. C) The people who voted for him. D) All the residents of the city. Eliminate

Answers

Answer:

D

Step-by-step explanation:

D is the best choice. A excludes voters age 18-20 and 36+. B excludes everyone who doesn't own a business, and C excludes those who didn't vote for him. For the most honest results, D - everyone - is the best choice.

HELP ME PLEASE!!

I don't understand the question...
If possible, please explain!

Answers

Answer:

SSS

Step-by-step explanation:

We know 2 of the sides are equal

The thirds side is the same length by the reflexive property since it is the same side

The triangles are congruent by SSS or the side side side postulate

I really need help with this

Answers

Answer:

Step-by-step explanation:

In the first case the function could become undefined as x approaches -3 or 3 from either direction.  The vertical asymptotes are x = -3 and x = +3.

In the second case, there's only one vertical asymptote, because the denominator can be zero (0) only at x = 0.

If the radius of a circle is multiplied by 3, which is true?

Answers

Answer:

I think that both are true...

If it's one, it's the circumference.

Step-by-step explanation:

So say the radius is x.

The area is πx^2

The circumference is 2xπ

If you multiply it by 3:

The area is 3πx^2

The circumference is 6xπ

Answer:

The circumference is tripled

Step-by-step explanation:

If the radius started as 2 the area would be 12.57 and the circumference would be 12.57.

Then if multiply the radius by 3 it would be 6 and the area would be 113.1 and the circumference would be 37.7.

12.57x3=37.7

Therefore the circumference triples when the radius is multiplied by 3.

He forgot to multiply x by 2 in step 1
He added x to both sides of the equation in Step 2 instead of subtracting
He added 1 on both sides of the equation in Step 3 instead of subtracting 1.
He multiplied by the reciprocal of 3 to get x=2 in Step 4.

Answers

Answer: Yes

Step-by-step explanation: I got it right on edge

Aisha is playing a game in which she can gain or lose points on each turn. The table below
shows the points she scores on each of four turns in the game.
Aisha states that her highest score is on Turn 3, because 16 is greater than 3, 10, or 9. Use the
drop-down menus to explain Aisha's mistake.

Answers

Answer:

A score of -16 represents the lowest of points for these four turns.

The number for Aisha's highest score will be turn 2 on the number line.

That number is 10.  

Step-by-step explanation:

Since the options of the drop down menu are not included, you should choose any option similar to lowest.

Aisha's highest score was obtained in turn 2 and that is 10.

Aisha is comparing absolute terms, that is why she believes that -16 represents a good score, while in reality is the worst she got.

Miche found that most helicopters fly at speeds of less than 270 kilometers per hour. Her work is shown below. s > 270 A number line going from 260 to 285. An open circle is at 270. Everything to the right of the circle is shaded. Which mistakes did she make? Check all that apply.

Answers

Answer:

The inequality should be s<270.The number line should be shaded to the left.

Step-by-step explanation:

Miche found that most helicopters fly at speeds of less than 270 kilometers per hour.

If s=speed of the helicopters

Then: s<270

Representing this on a number line:

We have an open circle at 270.Everything to the left of the circle is shaded.

Since the options are not given, I would list the mistakes made by Miche.

The inequality should be s<270.The number line should be shaded to the left.

Answer:

A and D

Step-by-step explanation:

I hope this helped <3 ·ω·

To make 4 batches of cupcakes, it takes 6 cups of flour. How many cups of flour are needed for 1 batch?
||||
Thank you for helping me out! ;)

Answers

Answer:

1.5

Step-by-step explanation:

Answer:

1.5

Step-by-step explanation:

Ratio is 4:6 so if you have 1 instead you will have a 1:_ ratio. To have gotten the 1 think of it as dividing it by 4, so divide the 6 by 4 to get 3/2 which in mixed form is 1 and 1/2 or 1.5

Hope this helps!


Determine if the triangles, APQT and AQRS, are similar. If so, identify the similarity criterion
A)
AA similarity
Gaping
Calc
B)
SAS similarity
09
SSS similarity
Formulas
D)
not similar

Answers

Answer:

see explanation

Step-by-step explanation:

Consider the ratios of corresponding sides

[tex]\frac{PQ}{QR}[/tex] = [tex]\frac{30}{15}[/tex] = 2

[tex]\frac{PT}{QS}[/tex] = [tex]\frac{20}{10}[/tex] = 2

[tex]\frac{QT}{RS}[/tex] = [tex]\frac{28}{14}[/tex] = 2

Since the ratios of corresponding sides are equal, then

Δ PQT and Δ QRS are similar by the SSS postulate

1. What side in the second trapezoid corresponds to CD?
choices:
RU
ST
TU
RS

2. What angle in the second trapezoid corresponds to B?

choices:
T
S
U
R



Answers

Answer:

1...ut

2..s

Step-by-step explanation:

you can see that the trapezium ABCD is talented than you are St trapezium so then from the ABCD trapezium Appa what then you can see a De is parallel to you are and ab is parallel to AC and DC is parallel parallel to T s and a De is parallel to ur

Answer:

1. UT

2. S

Step-by-step explanation:

1. parallel sides of the first trapezoid are DC and AB, the last being the longest

so the answer is

UT, which is shorter base

2. B is the right angle

so S is the one on the second trapezoid

If you answer can you write how you solved it?

Answers

Answer:

[tex]145.3in^2[/tex]

Step-by-step explanation:

[tex]A_{L} =2\pi rh=2*\pi *2.5*9.25\\=145.3in^2[/tex]

What is the value of x?
Enter your answer in the box. Round only your final answer to the nearest hundredth

Answers

Answer:

x = 12.5 yd

Step-by-step explanation:

To find the value of x, use the equation below

cos 37 = [tex]\frac{10}{x}[/tex]

0.80 = [tex]\frac{10}{x}[/tex]            Take 10 divided by 0.80 to find x

x = 12.5

If this answer is correct, please make me Brainliest!

The answer should be the 12.5 one

Which residual plots indicate that the original data set has a linear relationship? Check all that apply

Answers

Answer: A, B and E

Step-by-step explanation:

A residual values should be equally and randomly spaced around the horizontal axis. If the plot looks like any of the images in C and D, then the data set is probably not a good fit for regression. A non-linear pattern is more appropriate.

which one isn’t a function ?

Answers

Answer:

D isn't a function because points intersect vertically on the graph

Step-by-step explanation:

Can somebody please help me :(

Answers

Steps:

Boys: 30+40+50+60+60+70+70+70+80+80+80+90+90+100 = 970

Girls: 10+20+50+50+60+70+70+80+80+80+90+100 = 760

THEN Divide the sum of boys and girls but how many numbers you added

970 ÷ 14 = 69.2

910 ÷ 12 = 63.3

A $135.00 item is marked down by 30%.
What is the new cost of the item?
Round to two decimals if needed.



Answers

Answer:

135.00 multiplied by .30% will be 40.5

Answer:

You can also calculate how much you save by simply moving the period in 30.00 percent two spaces to the left, and then multiply the result by $135 as follows: $135 x . 30 = $40.50 savings. Furthermore, you can get the final price by simply deducting .

Step-by-step explanation:

meg mixes 3 parts silver paint with 4 parts green paint to get a specific color. Is the ratio 5:6 equivalent to 3:4?
Yes, because both ratios show a pair of numbers that have a difference of 1.
Yes, because any combination of silver and green will work.
No, because the numbers in the given ratio must be multiplied by the same number.
No, because there cannot be more than 4 green parts.

Answers

Answer:

No, because the numbers in the given ratio must be multiplied by the same number.

Step-by-step explanation:

Essentially, ratio to be equal must be equal. E.g. 3:4 would be equal to 6:8 because you multiply both sides of the ratio by 2.

Answer:

answer is No, because the numbers in the given ratio must be multiplied by the same number. or c

Step-by-step explanation:

I need help fast will give brainliest!!!

Answers

Answer:B. Able Cable

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Able Cable

A polygon is shown:

The area of polygon MNOPQR = Area of a rectangle that is 9 square units + Area of a rectangle that is ___ square units. (Input whole numbers only, such as 8.) (5 points)

Answers

Answer:  4

We're talking about the right part.  

OP = RQ - NM = 7 - 3 = 4

PQ = MR - NO = 3 - 2 = 1

Area(OPQ?) = 4×1 = 4

Answer: 4

The area of polygon MNOPQR = Area of a rectangle that is 9 square units + Area of a rectangle that is 4 square units.

What is the area of the rectangle?

The area of a rectangle is defined as the product of the length and width.

The area of a rectangle = L × W

Where W is the width of the rectangle and L is the length of the rectangle

A polygon is given in the question, as shown

The area of polygon MNOPQR = Area of a rectangle that is 9 square units + Area of a rectangle that is ___ square units.

We have to determine the fill-in-the-blank.

As per the given figure, we can see that

OP = RQ - NM = 7 - 3 = 4

PQ = MR - NO = 3 - 2 = 1

Required area of rectangle = 4 × 1 = 4

Hence, the required fill-in blank will be "4".

Learn more about the Area of the rectangle here:

brainly.com/question/20693059

#SPJ2

A hotel offers a reward program based on the number of night stayed. The function f(x) represents the number of free nights earned as a function of x , the number of night stayed. Which describes the meaning of f(x)?

Answers

Answer:

a. A customer earns 1 free night per 10 nights stayed.  

Step-by-step explanation:

The missing function is:

f(x) = x/10  

The missing options are:

a. A customer earns 1 free night per 10 nights stayed.  

b. A customer starts with 1 free night and then earns another free night after every 10 nights stayed.

c.A customer earns x – 10 free nights for every 10 nights stayed.  

d. A customer earns 10 free nights after x number of nights stayed.

The function means that after a customer stayed 10 nights, a free night is earned. That is, replacing x = 10 into the function, we get:

f(10) = 10/10  = 1

which means 10 nights are equivalent to 1 free night.

Other Questions
what is the equation of the line in slope-intercept form? Where does your body get the energy needed to transform into kinetic energy to move around all day An astronaut is being tested in a centrifuge. The centrifuge has a radius of 11.0 m and, in starting, rotates according to = 0.260t2, where t is in seconds and is in radians. When t = 2.40 s, what are the magnitudes of the astronaut's (a) angular velocity, (b) linear velocity, (c) tangential acceleration, and (d) radial acceleration? A wheel with radius 1 foot makes 1 revolution in 4 seconds. What is the linear velocity, in feet per second, of a point on the edge of the wheel? What is the purpose of lookup tables in spreadsheet software?A. They allow the user to retrieve information from another locationin a table.B. They allow the user to lock cells that contain information thatremains consistent.C. They allow the user to create a graphic representation of aselected table.D. They allow the user to convert foreign currencies. Of the 800 particapants in a marthon, 120 are running to raise money for a cause. How many particpants out of 100 are running for a cause? Which table could be used with Table A to verify that the function modeling Fahrenheit temperature, F(C), based on a given Celsius temperature, C, is the inverse of C(F)? Who is the person that discovered that organs work together to form organ systems? Which is a description of rational numbers? a)Their decimal expansions can be infinitely repeating b) They are all numbers except zero c)They are always positive Market researchers have determined nine categories of lifestyles for computer users. One of the categories is described as "Mouse Potatoes," who like the Internet for entertainment and can't wait to buy the latest in "techno-entertainment." In terms of the diffusion process, how would "Mouse Potatoes" be classified? Solve for y :y/5 + 7 = -3 A(n)is an organism that breaks down dead organisms and Thats the question? Find the value of k ,if x=2 and y=3.Find the equation of 2x+3y=k HELP QUICK!! 25 POINTS AND BRAINLIEST!!! Circle P has a circumference of approximately 65 inches. What is the approximate length of the radius, r? Use 3.14 for . Round to the nearest tenths.A. 15.4B. 10.4C. 35D. 32.5 In a quadrilateral, the measure of two opposite angles is the same. Each of the othertwo angles measures exactly two times the given angle. Find the measure of each anglein the quadrilateral. What is the base 8 representation of the number 600? PLEASEEE HELPPPP MEE WITH LINE PLOTSSS I DONT UNDERSTAND THISSSSPLEASEE HELPPPP!!!!!!! Which medium-grade metamorphic rock is mostly composed of quartz, mica, chlorite, talc, hornblende, and/or graphite? The Shah looked weak after the 1953 coup; what did he do to regainpower? Select all that apply.A)He created the SAVAK.B)He put limits on freedoms.C)He allowed the U.S. military to issue martial law.D)He banned political parties that opposed his rule.