ABCD is a quadrilateral. Select all the criteria that are sufficient to prove that ABCD is a parallelogram.

Line segment AB is congruent to line segment DC and Line segment is congruent to line segment BC.
Line segment AB is parallel to line segment DC
X is the midpoint of line segment AC and line segment BD

Answers

Answer 1

A parallelogram is a shape which has opposite sides to be equal and parallel. Therefore, the required properties that are sufficient for the prove are:

A. Line segment AB is congruent to line segment DC and Line segment AD is congruent to line segment BC.

B. Line segment AB is parallel to line segment DC.

Quadrilaterals are four sided shapes. Examples are square, rectangle, parallelogram, trapezium etc. These have different or distinguishing properties.

A parallelogram is a figure that has its opposite sides to be equal in length and which are also parallel. This properties can be used to answer the given question.

Thus, the appropriate criteria that are sufficient to prove that ABCD is a parallelogram are:

A. Line segment AB is congruent to line segment DC and Line segment AD is congruent to line segment BC.

B. Line segment AB is parallel to line segment DC.

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Related Questions

peter and pam are both avid swimmers

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Answer: that they are

Step-by-step explanation:

help help help plssss

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Answer:

6.5

Step-by-step explanation:

bc I just no plus or it's 5

Forty percent of the 45 slices of cake were strawberry flavor. How many were not strawberry flavored?

Answers

Answer:

Step-by-step explanation:

Mr. Doyle mowed 2\5ths of his lawn. His son mowed 1\3rd of it. Who mowed most of the lawn? How much of the lawn still needs to be mowed?How much does Mr. Doyle have left to mow?

Answers

Answer:

Step-by-step explanation:

Dad:  2/5

Son:  1/3

Who mowed most of the lawn? Dad, of course.  2/5 is larger than 1/3.  2/5 is 40% and 1/3 is 33.333%

How much of the lawn still needs to be mowed?  

 2/5 + 1/3 + X = 1  [1 means the whole lawn.  X is the remaining portion.]

6/15 + 5/15 + X = 1   [Convert each fraction so that they have a com,mon denominator.  This also shows that 2/5 (6/15) is larger than 1/3 (5/15).

11/15 + X = 1

X = 1 - 11/15

X = 4/15 left to be mowed.

How much does Mr. Doyle have left to mow?

We'll assume each rate is the same, 2/5 for Dad and 1/3 for son.

4/15 left to be mowed.

Dad will mow 2/5 of 4/15, so (2/5)*(4/15) = 8/75 left of the original yard

Son will mow 1/3 of 4/15, so (1/3)*(4/15) = 4/45 left of the original yard

Mr. Doyle mowed faster than his son. The amount of lawn still needs to be mowed will be 4/15. Mr. Doyle has left to mow and will be 8/75.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Mr. Doyle mowed 2/5 of his lawn. His son mowed 1/3 of it.

Convert the fraction into a decimal number. Then we have

2/5 = 0.40

1/3 = 0.33

Mr. Doyle mowed faster than his son.

The amount of the lawn still needs to be mowed will be given as,

⇒ 1 - 2/5 - 1/3

⇒ (15 - 6 - 5) / 15

⇒ 4 / 15

The amount of lawn still needs to be mowed will be 4/15.

Mr. Doyle has left to mow and will be given as,

⇒ (4 / 15) x (2 / 5)

⇒ 8 / 75

Mr. Doyle has left to mow and will be 8/75.

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Please help me please

Answers

1. she makes a profit

2.300$

3.25%

C.

1.3000$

2.9000$

ok done. Thank to me :>

solve the equation: -5x+12=20

Answers

-5x + 12 = 20

-5x = 20 - 12

-5x = 8

x = -8/5

Plz help don't understand
1 thru 4------Don't mind the other writing------

Answers

Hi there friend, I hope this helps explain a little better. Let me know if you have questions.

What is the rate of change?

Answers

Answer:5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

19-14 = 5

24 - 19 = 5

29 - 24 = 5

and so on

I hope this helps!

There is a proportional relationship between minutes and dollars per minute, shown on a graph of printing expenses. The graph passes through the point (1, 3.40). What is the slope of the graph? What is the unit rate? Complete the explanation.​

Answers

Answer:

Below!

Step-by-step explanation:

The slope is 1. The unit rate is $4.75/min If the graph of a proportional relationship passes through the point (1 , R) then r equals the slope and the unit rate. $4.75 per min.

The slope of the graph resembles the unit rate.

The unit rate is the amount it cost per minute.

The graph passes through the point (1, 3.40), which means it is at x = 1, the rate is $4.75.  

the ratio of men to women at Wal-Mart was 3 to 5. If there were 350 women, How many men were in the store?

Answers

Answer:550

Step-by-step explanation:

Answer:

550

sjjeusuwjwhhsusjsisjisjwnqbisjd

+{-x2y+[-(x2y-2xy2+y2)+(-xy2-3y2+x2y)]-(10y2-x2y)}

Answers

Answer:

3xy² -  14y²      

Step-by-step explanation:

I hope that this is the problem

   - x²y + [ - (x²y - 2xy² + y²) + (xy² - 3y² + x²y)] - (10y² - x²y)

= - x²y + [ - x²y + 2xy² - y² + xy² - 3y² + x²y] - 10y² + x²y

Now combine like terms in the [  ].

= - x²y  + [ -x²y + x²y + 2xy² + xy² - y² - 3y² ] - 10y² + x²y

= - x²y  + [ 0 + 3xy² - 4y²] - 10y² + x²y

= - x²y + 3xy² - 4y² -10y² + x²y                      Now combine like terms

=   (-x²y + x²y) + 3xy² + (-4y² - 10y²)

=       0 + 3xy² - 14y²

=  3xy² -  14y²       or    y²(3x - 14)

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!5

Answers

Answer:

B. 8

Step-by-step explanation:

Point-slope form:

[tex]y-y1=m(x-x1)[/tex]

m is the slope, and that is 8 in this equation.

the slope of the line would be 8. the slope is always in front of the x. we would simply distribute the 8 to the (x-14) and get 8x-108. we can then identify the slope of 8. :D

What is the area of a rectangle with a width of x^2+x+1 and a length of 3x^2-2x-1?

Please help!

Answers

Answer: width= 2x-1 and length= 3x+2

Step-by-step explanation: SOLUTION: Choose a possible dimensions of a rectangle with a width= 2x-1 and length= 3x+2 so that its area is greater than 153cm² a. W= 13 L= 15 b. W= 11 L= 20

Please help! I really need to get the answer correct

Answers

Answer:

x + 9y²

Step-by-step explanation:

A prime polynomial is simply an irreducible polynomial.

x + 9y² is a prime polynomial

First, we test the options.

x + 9y²

The above function cannot be reduced further.

Hence, x + 9y² is a prime polynomial

3m + 9n

Factor out 3

3 (m + 3n)

3m + 9n is not a prime because it can be factored as 3 (m + 3n)

8x^7 - 9x + 12x²

Factor out x

x(8x^6 - 9 + 12x)

8x^7 - 9x + 12x² is not a prime because it can be factored as x(8x^6 - 9 + 12x)

Hence, x + 9y² is a prime polynomial

-4(5+20)=16. S+20=-4. S=

Answers

Answer:

s = -24

Step-by-step explanation:

-4(-24 + 20) = 16 TRUE

-24 + 20 = -4 TRUE

(Are there any options for the missing description bit? I'm a little confused what needs to be answered there)

Nadine plans to ride her bike between 12 mi and 15 mi. Write and solve an inequality to model how many hours she will be riding if she will be riding at a rate of 10 mph

Answers

Answer:

inequality is:12 ≤ x ≤ 15

Step-by-step explanation:

PLS HELP WILL MARK BRANLIEST ! NO FAKE ANSWERS!!!

Answers

Answer:

You can solve this with long division:

Answer:

Area = 2x²+3x+4

Step-by-step explanation:

Volume :

V= abh

Area:

S=ab or V:h

In our  case :

[tex]abh=(2x^3+7x^2+10x+8 ) \\\\ h=x+2[/tex]

Let's use Synthetic division:

[tex]\large \boldsymbol{}x+2=0 \to x=-2 \\\\ \underline{\begin{array}{c|c|c|c|c|} \bf \stackrel{x+2}{-2} \ & \stackrel{x^3}{2} \ & \stackrel{x^2}{7} \ & \stackrel{x}{10} \ & { \stackrel{1}{8} \ }\end{array}}[/tex]

[tex]\large \boldsymbol{} \underline{\begin{array}{c|c|c|c|c|c|} \ & \ \ \ & \ \ \ & -4 & -6 & -8\end{array}}[/tex]

[tex]\large \boldsymbol{} \underline{\begin{array}{c|c|c|c|c|c|} \ & \ \ \ & \ \ \ & \ \ \bf3 \ & \ \ \bf4 \ & \bf 0 \ \end{array}}[/tex]

Then :

[tex]\large \boldsymbol{}(2x^3+7x^2+10x+8) :(x+2)= \\\\(2x^2+3x+4)(x+2):(x+2)=\boxed{2x^2+3x+4}[/tex]

Area = V:h  ⇒ 2x²+3x+4

please help!!
solve for x

Answers

Answer:

4

Step-by-step explanation:

These both angles are vertically opposite angles. And, vertically opposite angles are equal. So,

→ 5x ― 6 = 3x + 2

→ 5x ― 3x = 2 + 6

→ 2x = 8

→ x = 8/2

x = 4

Therefore, the value of x is 4.

6m squared+ 7n= what?

Answers

Answer:

(6+7)

Step-by-step explanation:

please explain and answer it

Answers

8√21 cm² is the area

hope it helps you

please mark as brainlliest!!

Two​ trains, Train A and Train​ B, weigh a total of 436 tons. Train A is heavier than Train B. The difference of their weights is 242 tons. What is the weight of each​ train?

Answers

Answer:

Train A: 238    Train B: 194

Step-by-step explanation:

436-242=194-436=-238

Flip the sign for 238 and you get your answer.

(This might not be correct)

I don't understand what I am supposed to do after I combine terms

Answers

I think you have to put all the fractions on one side of the equation and the x-terms on the other side. But I don't see an option for that...

Answer:

x = - [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

[tex]\frac{2}{3}[/tex] - 4x + [tex]\frac{7}{2}[/tex] = - 9x + [tex]\frac{5}{6}[/tex]

Multiply through by 6 ( the LCM of 3, 2 and 6 ) to clear the fractions

4 - 24x + 21 = - 54x + 5 , that is

25 - 24x = - 54x + 5 ( add 54x to both sides )

25 + 30x = 5 ( subtract 25 from both sides )

30x = - 20 ( divide both sides by 30 )

x = [tex]\frac{-20}{30}[/tex] = - [tex]\frac{2}{3}[/tex]

PLS HELP RN ASAP!!!!

Answers

Answer:

3b

Step-by-step explanation:

Solve the system you found in Part D. Did you use elimination or substitution? What was the entry fee, and how much did each ticket cost?

After Gwen, Tristan, and Keith finish exercising, they go to the fair. At the fair, they each pay the entry fee and also buy tickets they can use for food or rides. Gwen pays the entry fee and buys 10 tickets. It costs her a total of $30. Tristan pays the entry fee and buys 15 tickets. It costs him a total of $40. Keith pays the entry fee and buys 10 tickets. It costs him a total of $30. In this task, you will create a system of equations and find the cost of each ticket. Let x represent the entry fee and y represent the cost of each ticket in dollars.

Answers

Answer:

Let x represents the entry fees

y represent the cost of each ticket

Gwen equation

x + 10y = 30 ... (i)

Tristan equation

x + 15y = 40 ...... (ii)

Keith equation

x + 10y = 30 .......... (iii)

By solving eq. (ii) and (iii), we get

x = 10

y = 2

Hence entry fees = $10

cost of each ticket = $2

PLEASE MARK ME AS BRAINLIEST AS IT WILL HELP ME IN ACHIEVING NEXT LEVEL.

THNX IN ADVANCE

Step-by-step explanation:

Answer:

substitution entry fee=$10 each ticket=$2

Step-by-step explanation:

Select all of the equations below that are equivalent to:

m + 17 = 18

Use properties of equality.

m + 7 = 18 - 12

m + 6 = 18 - 10

m + 17 - 2 = 17

m + 13 = 18 - 4

Submit

Work it out

Answers

The equivalent expression will be;

⇒ m + 13 = 18 - 4

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ m + 17 = 18

Now,

Since, The expression is,

⇒ m + 17 = 18

Solve for m as;

⇒ m + 17 - 17 = 18 - 17

⇒ m = 1

For option (i);

The expression is,

⇒ m + 7 = 18 - 12

⇒ m + 7 = 6

⇒ m = - 1

For option (ii);

The expression is,

⇒ m + 6 = 18 - 10

⇒ m + 6 = 8

⇒ m = 2

For option (iii);

The expression is,

⇒ m + 17 - 2 = 17

⇒ m + 15 = 17

⇒ m = 2

For option (iv);

The expression is,

⇒ m + 13 = 18 - 4

⇒ m + 13 = 14

⇒ m = 1

Thus, The equivalent expression is,

⇒ m + 13 = 18 - 4

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The equivalent expression of m + 17 = 18 is determined as m + 13 = 18 - 4 (Option D).

What is equivalent expression?

An equivalent expression refers to a mathematical or algebraic expression that has the same value or meaning as another expression, despite potentially having a different appearance or form.

The equivalent expression is calculated as

m + 17 = 18

Solve for m as;

m + 17 - 17 = 18 - 17

m = 1

So we are going to solve all the equations and the one that has the value of m equal to 1 is the equivalent expression.

Solving for option (1)

m + 7 = 18 - 12

m = -1

Solving for option (4)

m + 13 = 18 - 4

m + 13 = 14

m = 1

Thus, the equivalent expression is m + 13 = 18 - 4

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simple question just to lazy to really think about it!
Jose runs 6 miles in 44 minutes. At the same rate, how many minutes would he take to run 9 miles?​

Answers

Answer:

66 minutes

Step-by-step explanation:

Step 1: Divide 44 minutes divided by 6 miles.

[tex]\frac{44}{6}[/tex] [tex]\frac{22}{3}[/tex] [tex]7\frac{1}{3}[/tex]  

Step 2: Multiply 9 by 7 1/3.

[tex]9*7\frac{1}{3}[/tex] [tex]9*\frac{22}{3}[/tex] [tex]3*22[/tex] [tex]66[/tex]

Therefore, the answer is 66 minutes.

how do you do this? appreciated for your help

Answers

Answer:

1/20 E

Step-by-step explanation:

11.74 - 11.69 = .05

.05 =1/20

Answer:

E. 1/ 20 seconds

Step-by-step explanation:

The distance covered by both the athletes is the same.

So, calculating the difference between their times:

Bryan completed the race in 11.74 secondsLuis completed the race in 11.69 seconds

DIFFERENCE:

That means, Luis completed the race before Bryan, and the difference between their times is:

= 11.74 - 11.69

= 0.05 seconds

CONVERSION:

To convert this decimal into a fraction we'll multiply and divide the decimal by 100 (as the number of decimal places is "2", the decimal will be handled by 10 exponent "2" )

[tex]=0.05 \times \frac{100}{100}[/tex]

[tex]= \frac{5}{100}[/tex]

5's a common factor in both numerator and denominator hence, it cancels out

[tex]=\frac{1}{20}[/tex]

ANSWER:

Therefore, we got [tex]\frac{1}{20}[/tex] seconds. That is option E.

Barbara wants to buy muffins. Which is the best deal? O a. 9 muffins for $7.92 O b. 4 muffins for $3.60 O c. 6 muffins for $5.34 O d. 8 muffins for $7.60 N​

Answers

Answer:

D

Step-by-step explanation:

Hope it can help you lovelots

#LEARN WITH BRAINLY

I need help with my Geometry. Can you help?
Thanks.​

Answers

Answer:

  1.  32 units

  2.  C(-15, -4) and D(17, -4)

Step-by-step explanation:

1.

The midpoint divides CD into two segments that are the same length:

  CM = MD

  8(x -2) = 4(5x -16)

  8x -16 = 20x -64 . . . eliminate parentheses

  48 = 12x . . . . . . . . . add 64 -8x

  x = 4 . . . . . . . . . . . divide by 12

Then the length of CD is ...

  CD = 2·CM = 2(8(x -2)) = 2(8(4-2))

  CD = 32

__

2.

If we put C and D on the same horizontal line as M, their coordinates are ...

  C = M -(16, 0) = (1,-4) -(16, 0) = (-15, -4)

  D = M +(16, 0) = (1, -4) +(16, 0) = (17, -4)

Coordinates C and D that have M(1, -4) as a midpoint are ...

  C(-15, -4) and D(17, -4).

Find the equation of the linear function represented by the table below in slope-intercept form.
x 0 1 2 3 4
y -8 0 8 16 24

Answers

Answer:

y = 8x - 8

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, - 8) and (x₂, y₂ ) = (2, 8) ← 2 ordered pairs from the table

m = [tex]\frac{8-(-8)}{2-0}[/tex] = [tex]\frac{8+8}{2}[/tex] = [tex]\frac{16}{2}[/tex] = 8

The line crosses the y- axis at (0, - 8 ) ⇒ c = - 8

y = 8x - 8

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