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

Tia rides her bicycle 9 miles a day for 6 days. Which number sentence can used to find how many miles Tia rides in all?

Answers

Answer:

9 times 6

Step-by-step explanation

Because you multiply 9 times 6 because 9 miles every 6 days

Answer:9x6

Step-by-step explanation:Because it say She does 9 miles a day so you multiply it by 6 to find the total

HELP PLEASEEE ASAP!! THIS IS AN EMERGENCY

Answers

Answer:

the answer is c

Step-by-step explanation:

If you have a cube with a side length of ¼, how many cubes can fit into your rectangular prism? Explain.

Answers

Answer:

Step-by-step explanation:

No of cubes that can fit into rectangular prism =   Volume of rectangular prism

                                                                                   Volume of cube

Find the volume of rectangular prism and divide that by the volume of cube

The sum of all of the interior angles of a triangle sum up to ?

Answers

Answer:

180°

Step-by-step explanation:

It's something worth remembering.

Answer:

180 degrees

Step-by-step explanation:

hello!? what's 3 + 3

Answers

Answer:

6

Step-by-step explanation

Answer:

6

Step-by-step explanation:

if you have 3 apples and 3 banannas in all you have 6 fruits in total :)

3 bugs+ 3 ladybugs= 6 bugs

Hope this helps lol :)

2 points
Cindy is painting her house. She paints 34 1/2 square feet in 3/4 hour. At
this rate, how many square feet can she paint each hour? *

Answers

Answer:

102 sqaure feet                                                      

Step-by-step explanation:

If PQ is tangent to circle R at point Q and PS is
tangent to ⊙R at point S, what is the perimeter
of quadrilateral PQRS?

Answers

Answer:

Perimeter of the quadrilateral PQRS is 25 units

Step-by-step explanation:

From the figure attached,

PQ is a tangent to the given circle so m∠PQR = 90°

Now we apply Pythagoras theorem in the ΔPQR,

PR² = PQ² + QR²

(PT + TR)²= PQ² + 5²

(4 + 5)² = PQ² + 25

81 = PQ² + 25

PQ = √(81 - 25)

     = √56

     ≈ 7.5 units

PQ ≅ PS ≅ 7.5 units

[Since measures of tangents drawn from a point to a circle are always equal]

Perimeter of PQRS = PQ + QR + RS + PS

                                = 7.5 + 5 + 5 + 7.5

                                = 25 units

Therefore, perimeter of the quadrilateral PQRS is 25 units.

Answer:

10 + 4 square root 14

Step-by-step explanation:

so the person below or above me said 25 units and they are not wrong it just the did have it in a simple equation like this ^

so 4 square root 14 = 14.9 or 15

then 10 + 15 = 25 units

so the correct answer is 10 + 4 square root 14

I ALSO TOOK THE TEST AND IT WAS CORRECT :)

find the term independent of x in the expansion of x^9(2-1/x^3)^6

(it's also pictured)

Answers

Answer:

20

Step-by-step explanation:

what is 5.75 divided by -0.15?

Answers

Answer:

-38.33333333333333333333333334

-38.3 is the answer

What is the length of AB?

Answers

The answer is 10
Because that’s how far away it is from B

Answer:AB =10

Step-by-step explanation:

Finding Distances from the Mean
The mean of the data is 44.7. Complete the chart to find the distances from the mean.
Of
Temp (°F)
2938
45
31
50
58
62
Distance
from the
Mean
15.7
6.7
13.7
y
13.3

Answers

Answer:

x = 0.3, y = 5.3, z = 17.3

Step-by-step explanation:

Since given question is incomplete, so here is the complete table for the distance from the mean.

Temp (°F)                              29      38       45    31      50     58     62    

Distance from the mean    15.7    6.7       x    13.7      y     13.3       z

It's given that the mean of the data is 44.7

Since distance from the mean of a data is the absolute value of the difference of data and mean,

Therefore, distance from the mean of the data will be,

x = |44.7 - 45| = 0.3 (absolute value of the difference)

y = |44.7 - 50| = 5.3

z = |44.7 - 62| = 17.3

Answer:

x =   0.3

y =   5.3

z =   17.3

Step-by-step explanation:

Help please. Im giving 20 points.
In Belleville, the library is due south of the courthouse and due west of the
community swimming pool. If the distance between the library and the courthouse
is 9 miles and the distance between the courthouse and the city pool is 15 miles,
how far is the library from the community pool?

Answers

Answer:

The distance is 144

Step-by-step explanation:

We solve this by using the Pythagorean Theorem.

Using the equation:  a squared + b squared=  c squared.

In this case, 9 squared + b squared = 15 squared.

So 81+b squared = 225

     -81                      -81

b=  144

Write and solve an inequality, You want to save at least $100. How much do you need to save if you start with $37?

Answers

Answer:

$63 is the answer

Step-by-step explanation:

100-37=63

Find the median of the data.

8,8,6,8,4,5,6

Answers

Answer: The median is 6

Step-by-step explanation:

4 5 6 6 8 8 8

4 5 6 6 8 8 8

Please Help!!! Explain how to solve!!! Extra points and brainiest will be given

Answers

Answer:

2,493.796 => 2493.8

Step-by-step explanation:

Answer:

2,492.5 mm^2

Step-by-step explanation:

The formula to find the Surface area is 2 pi r^2 + 2 pi r x h

So, 2 pi 14.7^2 + 2 pi 14.7 x 12.3

2 pi 216.09 + 2 pi 180.81

2 x 678.5226 + 2 x 567.7434‬

1,357.0452 + 1,135.4868

2,492.532‬

The surface area of this cylinder is 2,492.5 mm^2


Can the sides of a triangle have lengths 2, 5, and 5?

Answers

Answer:

No, the sides of a triangle cannot have the lengths 2, 5, and 5.

Step-by-step explanation:

Using the right triangle formula, aka. the Pythagorean Theorem, which is [tex]a^{2}+b^{2}=c^{2}[/tex] we need to substitute the sides given with the variables.

[tex]2^{2} +5^{2} =5^{2}[/tex]

Simply to [tex]4+25=25[/tex].

Add 4 to 25.

29 [tex]\neq[/tex] 25

Answer:

No....

Step-by-step explanation:

it cannot because triangle throrem says that the 2 smaller sides of of triangle must be greater than one side. 2+5 = 7, and 7>5.

The reference angle for an angle whose measure is -440° is _____.



Answers

Answer:

The reference angle is the acute angle formed by the terminal side of an angle in standard position and the x-axis

Step-by-step explanation:

-440° will be in the 1st quadrant

We solve by adding 360° to it till it becomes positive

-440°+360°= -80°

-80°+360°=280°

The equivalent value will become

360°-280°= 80°

Answer:

The reference angle for an angle whose measure is -440° is 80°.

Step-by-step explanation:

The cycles for angles range from the traditional 0° to 360° and subsequent 360° ranges befor and after this traditional intervals, also have the same properties.

So, the ranges that exist and correspond to the traditional 0° to 360° include

0° to 360°

360° to 720°

720° to 1080°

And in the negative direction, we have

-360° to 0°

-720° to -360°

We can see that -440 is in the range of

-720° to -360°

Using the traditional 0° to 360° to compare this range of -720° to -360°, let x represent the reference angle in the traditional range that we require.

-720° ------ 0°

-440° ------ x

-360° ------ 360°

Using interpolation,

[-440° - (-720°)]/[-360° - (-440°)] = (x - 0°)/(360° - x)

(280/80) = x/(360-x)

3.5 = x/(360-x)

3.5(360 - x) = x

1260° - 3.5x = x

4.5x = 1260°

x = (1260°/4.5) = 280°

But, the reference angle is the smallest angle that one can make from the terminal side of an angle (that is, where the angle ends) with the x-axis. It uses the x-axis as its frame of reference.

So, 280° is a fourth quadrant angle, whose equivalent in the first quadrant is 360° - 280° = 80°

Hope this Helps!!!

I WILL GIVE BRAINLIST!! Two joggers run 9 miles north then 3 miles west.What is the shortest distance, to the nearest tenth of a mile, they must travel to return to their starting point?

Answers

i’m not sure but i think it’s 9.5

Answer:

9.5 is your answer

Step-by-step explanation:

9^2 + 3^2 =

81 + 9 =

[tex]\sqrt{90}[/tex] = 9.5

Hey if I could get some help it would be great
I was asked this on a quiz:
When solving an equation with one variable, it is possible to have what?
A) one solution
B) no solution
C) indefinitely many solutions

Answers

Answer:

One solution

Step-by-step explanation:

Find the solution of this system of equations
-3x - 5y = -26
X - 5y = -38

Answers

Answer:

the answer would be (-3,7)

Put in order rational numbers

Answers

Answer:

[tex]-\frac{26}{40}[/tex]

[tex]-\frac{9}{20}[/tex]

[tex]\frac{12}{25}[/tex]

Step-by-step explanation:

Divide each individually.

[tex]-\frac{9}{20}=-0.45[/tex]

[tex]\frac{12}{25}= 0.48[/tex]

[tex]-\frac{26}{40}=-0.65[/tex]

Since you have to order them from least to greatest, begin by the negative number that is farthest from 0. In this case, -0.65, the next negative number would be -0.45 and finally we only have one positive number 0.48

what is the solution of this system of linear equations? y=2x-3 2x=y-3
a. infinitely many solutions
b. (0, -3)
c. (0,0)
d. no solution

Answers

Answer:

d. no solution

Step-by-step explanation:

y=2x-3

2x=y-3

y=2x+3

Since these are two distinct parallel lines (same slope), they will never meet. Hence, no solution

Answer:

No solution :)

Step-by-step explanation:

what is the median of the lower half of the data 5,8,10,1,7,6,15,8,6

Answers

I’m think it is the median

Answer: 8

Step-by-step explanation:

Order from least to greatest 1,5,6,6,7,8,8,10,15, and then find the number in the middle. The number in the middle is 8

Solve the equation in the image

Answers

Answer:

X= -4.4

Step-by-step explanation:

SOLVE FOR X. :)

Giving Brainliest if Correct!!

What collateral secures a mortgage?

A. 5% of the purchase price of the house

B. the house itself

C. 10% of the purchase price of the house

D. none

Answers

Answer:

c

Step-by-step explanation:

i think it c is it right

Answer:

c

Step-by-step explanation:

mortgages  take 10% of the original selling house price stock

Which number line best shows how to solve - 2 - (- 10) ?

Answers

Answer:

A)

Step-by-step explanation:

As a rule of thumb, two negative signs directly next to each other becomes a positive sign. Simplify:

-2 - (-10) = -2 + 10 = 8

The only number line in which it ends at 8 is A, therefore, A) is your answer.

~

Answer:

the first one

Step-by-step explanation:

-2 - -10 = 8

Which shape fits the description below?


A figure with at least one pair of parallel sides.





A. X

B. Z

C. X and Y

D.Y

Answers

Answer:C, X and Y

Step-by-step explanation:

I just took the test

I need help with this math problem please

Answers

Answer:

x=12

Step-by-step explanation:

90 = x + 42 + 3x

48 = x + 3x

48 = 4x

12 = x

Answer:

x = 12

Step-by-step explanation:

Since we are given a right angle, we can say that:

sum of all angles = 90 degrees

x + 42 + 3x = 90

4x = 48

x = 12

So, x is equal to 12 degrees!

Hope this helps)))  ^‿^

need help with this question it’s a mastery grade!

Answers

I think the answer is that there was an increase plz mark as brainliest
Yes there would be an increase because 25%of 25 is 6 and 10%of 20 is 2. So there is an increase by 4 kids.


Which of the following is equivalent to (4 x 10~?) + (5 x 10–?)?

Answers

What are your options ??
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