Which criteria must be true to conclude that ABCD is a parallelogram?

AE⎯⎯⎯⎯⎯≅EC⎯⎯⎯⎯⎯ and DE⎯⎯⎯⎯⎯≅EB⎯⎯⎯⎯⎯

AE=12BC

AC⎯⎯⎯⎯⎯≅BD⎯⎯⎯⎯⎯

AE⎯⎯⎯⎯⎯≅BE⎯⎯⎯⎯⎯ and DE⎯⎯⎯⎯⎯≅CE⎯⎯⎯⎯⎯
Parallelogram A B C D with diagonals A C and B D intersecting at E.

Answers

Answer 1

Answer:

AC⎯⎯⎯⎯⎯≅BD⎯⎯⎯⎯⎯

AC≅BD


Related Questions

Ed use 3 2/3 cups of peanut butter and 2 cups of powdered sugar to make 1 batch of peanut butter fudge. How much more peanut butter will Ed use than powdered sugar to make 3 batches of fudge?

Answers

Answer:

Ed will use 5 more peanut butter  than powdered sugar to make 3 batches of fudge(11-6=5)

Step-by-step explanation:

3 2/3 cups of peanut butter (x)

2 cups of powdered sugar(y)

for every one batch you need 2 cups, and for 3 batches you need 6 cups of powdered sugar(2*3=6)

and  for every batch you need 32/3 cups of peanut butter and for three batches you need (3 2/3 *3)= 11/3 *3=33/3=11 cups of peanut butter to make the fudge

Ed will use 5 more peanut butter  than powdered sugar to make 3 batches of fudge(11-6=5)

30 POINTS WOWWWWWW plz answer :)

Answers

Answer:                                                                                                                                      

Step-by-step explanation:

look at Michael expression. Why do you add 6+4 first​

Answers

Answer:

probably cuz its in parentheses but there's no picture

Step-by-step explanation:

determine the slope of the linear graph y=12x+7

Answers

Answer:

12x

Step-by-step explanation:

Guys help me please ,how to solve it? i need a solution

Answers

Answer:

well, x = 5

Step-by-step explanation:

here,

EB Is parallel to DC , so

Angle AEB = Angle ADE

( because they are corresponding angle pair )

Angle ABE = Angle ACD

( because they are corresponding angle pair )

triangle ADC Is similar to triangle AEB

(By AA similarity criteria )

hence AE / ED = AB / BC ( by CPCT )

so 24/10 = 12/x

=》 24/12= 10/x

=》 x = 5

okay i hope u got it

Ashley ran from home to school in 10 minutes. what has her average speed, if the distance between her house and her school is 1.5 miles?​

Answers

Answer:

0.15 miles per minute

Step-by-step explanation:

Average speed is in distance over time, so you could write:

1.5 miles / 10 minutes

Now, simplify:

.15 miles per minute

(hope this helps :-D)

Answer:

.15 miles per minute

Step-by-step explanation:

Find the slope of the line.


please help


will mark brainlyest

Answers

Answer:

m = 1

Step-by-step explanation:

slope = (y₂-y₁)/(x₂-x₁)

m = (4 - -1) / 1 - -4) = 5/5 = 1

The side lengths of a triangle are 5, 8, and 12. Is this a right triangle?
O A. No, because 52 + 32 + 122.
OB. No, because 5+ 8 + 12.
C. Yes, because 52 + 82 = 122.
O D. Yes, because 52 + 82 < 122

Answers

Answer:

A) No...

Step-by-step explanation:

We can check if this triangle is a right triangle by using the Pythagorean Theorem.

a² + b² = c² where a and b are the legs of the right triangle, and c is the hypotenuse (longest side)

Using 5 for a, 8 for b, and 12 for c, let's see if this satisfies the equation:

5² + 8² = 12²

Simplify.

25 + 64 = 144 89 = 144

We can see that 89 ≠ 144, so this leaves us with answer choices A and B. I think you meant to write < for the last + sign.

Seeing as the sum of the two lengths of the triangle is greater than the third side length, this creates a normal triangle. This cannot be the correct answer choice since this only satisfies the requirements for a triangle, but not a right triangle.

This leaves us with answer choice A.  52 + 32 ≠ 122 and 52 + 32 < 122. (I'm not sure why the squares of the side lengths are not used, but this should be the correct answer.)

A rectangular mat has an area of 7/12 in2. The length of the mat is 5/6 in. What is the width of the mat

Answers

The width of the mat with the given area and length is 7/10 in.

What is the width of the mat?

The area of a rectangle is expressed as;

A = l × w

Where l is length and w is width.

Given the data in the question;

Area A = 7/12 in²Length l = 5/6 inWidth w = ?

We plug our given values into the above equation and solve for w.

A = l × w

7/12 = 5/6 × w

w = 7/12 ÷ 5/6

w = 7/12 ÷ 6/5

w = 42/60

w = 7/10 in

Therefore, the width of the mat with the given area and length is 7/10 in.

Learn more about area of rectangle here: https://brainly.com/question/20693059

#SPJ1

4. A rectangle has a diagonal of 8 cm. The diagonal creates a 60° angle at the base of the rectangle.
[2]
a. Draw a picture of the rectangle
[4]
b. Write an EXACT expression for the base and the height of the rectangle.
[2]
C. Use your expressions to find the EXACT area of the rectangle.

Answers

9514 1404 393

Answer:

  a) see attachment

  b) base: 4, height: 4√3

  c) area: 16√3

Step-by-step explanation:

a) The figure is drawn in the attachment

__

b) The side lengths of a 30-60-90 right triangle have the ratio ...

  1 : √3 : 2

Multiplying these by 4 gives the side lengths of each triangle created by the diagonal. The base (short leg) is 4 units; the height (long leg) is 4√3 units.

__

c) The area is the product of base and height:

  A = bh

  A = 4(4√3) = 16√3 . . . . square units

if 50% is 10 what is 100%​

Answers

Answer:

20

Step-by-step explanation:

your answer would be 20 because if 10 is 50%, 20 is 100

Geometry question plz help

Answers

Answer:

I think A

Step-by-step explanation:

What is the constant of proportionality for the table? What does it represent? Reminder: k= y/x

Answers

Answer:

The constant of proportionality is 5. It represents the cups of yellow paint needed for 1 cup of blue paint.

Marcus can drive his boat 36 miles down the river in 3 hours but takes 4 hours to return upstream. Find the rate of the boat
in still water and the rate of the current.

Answers

Answer:

With river 12 miles per hour

Against river 9 miles per hour

wv = water velocity  vsw = boat velocity in still water

vsw +wv =  12 mph

vsw -wv = 9 mph

2 * vsw = 21 mph

boat velocity in still water = 10.5

Since vsw + wv = 12 then

water velocity = 1.5 mph

Step-by-step explanation:

Answer:

speed in still water: 10.5 Current: 1.5

Step-by-step explanation:

Find (12y + 20y2 – 2) + (-13y2 + y - 10). Write your answer in
standard form.

Answers

Answer:

7y²+13y-12

Step-by-step explanation:

20y²+12y-2-13y²+y-10

7y²+13y-12

Scrat the squirrel has a few nuts. When he put them in groups of 5 nuts, two nuts were left, and
when he laid them out in groups of 3 nuts, there were no nuts left. How many nuts among the
options provided below could belong to Scrat?​

Answers

Answer:

The options are not shown, so i will solve this in a general way.

Let's suppose that there are N nuts

If we divide the N nuts into groups of 5, there will be a remainder of 2 nuts.

If we divide the N nuts into groups of 3, there is no remainder.

This means taht N is a multiple of 3. then we can write:

N = 3*k

where k is a random integer.

Now, we know that when we divide N by 5, there is a remainder of 2 nuts, this means that N is equal to a multiple of 5 plus 2, then we can write:

N = 5*j + 2

where j is a random integer.

Now we only need to find a pair of k and j (both positive integers) such that:

3*k = 5*j + 2

We can rewrite this as:

k = (5/3)*j + (2/3)

Now we could just input different values of j, and see if k is also an integer:

j = 2

k = (5/3)*2 + 2/3 = 10/3 + 2/3 = 12/3 = 4

Then the pair j = 2, k = 4 is a possible solution.

N = 3*k = 3*4 = 12

N = 5*j + 2 = 5*2 + 2 = 12

From this we can conclude that N = 12, so Scrat has 12 nuts.

Now with the equation

k = (5/3)*j + (2/3)

We can find other possible combinations of j and k, that will give different values for N.

for example, if j = 5:

k = (5/3)*5 + 2/3 = 25/3 + 2/3 = 27/3 = 9

Then the pair j = 5, k = 9 is also a possible solution:

N = 3*k = 3*9 =  27

N = 5*j + 2 = 5*5 + 2 = 27

In this case, Scrat has 27 nuts.

What is the answer to this question?

Answers

Answer:

the answer is the top right option

Step-by-step explanation:

please help me with this

Answers

F is the answer to this question

Please help me asap this is due in 10 min Ill also mark brainliest

Answers

As we know that formula of area of circle is πr²

So let's apply formula

π×8.6×8.6

=232.2

=200 is the nearest hundredth.

You have to do rest of all through this method.

1) 232.35 2) 52.81 3) 373.25

HELP FAST!!!! Please

A plane passes through this three-dimensional figure parallel to its base. Which shape represents the cross section that is created.

Answers

Answer:

c

Step-by-step explanation:

hope it helpp

Is the following table proportional or non-proportional?

Answers

Answer:

proportional

Step-by-step explanation:

y= -7x

3x-2y=1x+4y=33 elimination process ​

Answers

Answer:

x = 5 ; y = 7

Step-by-step explanation:

3x - 2y = 1       --------------------(I)

 x + 4y  = 33 ------------(II)

Multiply equation (II) by (-3) and then add. So, x will be eliminated and we can find the value of y

(I)            3x - 2y = 1

(II)*(-3)   -3x -12y = -99         {Now add}

                 - 14y = -98

                        y = -98/14

y = 7

Plugin y = 7  in equation (I)

3x - 2*7 = 1

  3x - 14 = 1

         3x = 1 + 14

         3x = 15

           x = 15/3

x = 5

Beth put $8,000 in a savings account. At the end of a year
the account had earned $720 in interest. What was the
yearly interest rate on the account?

Answers

the answer would be 8,720 i believe!!

Answer:

It's %9.0.

Step-by-step explanation:

Find the value of x ​

Answers

Answer:

x=20°

Step-by-step explanation:

The triangle is equilateral. (All sides are the same).

Each angle in an equilateral triangle is 60.

3x=60

x=20°

ANSWER THIS QUESTION RIGHT WHAT YOU NEED TO FIND THE ANSWER IS ON THE PHOTO The Figure below shows the graph of the function f(x) In the coordinate plane. Identify the following key features of the graph

Answers

Answer:

vertex: (0,3)

Axis of symmetry: x=0

y-intercept: (0,3)

x-intercept: n/a

min

A would be positive since the parabola opens at the top

Step-by-step explanation:

Find the value of x. 1) m angle2=3x-6 120° 2 B) 10 D) 6 A) 12 C) -11​

Answers

dmdkd bdkdnsndnxnfndksndnxjxkdndkdkd disks

Write the slope intercept form of the equation of the line through the given points

Answers

Answer:

9) y = -3x - 4

10) y = -1/3x + 14/3

11) y = x - 1

12) y = -7/5x - 18/5

13) y = 3/5x + 9/5

14) y = -2x - 3

Step-by-step explanation:

For this explanation, let's use the last problem as the example. You would use the formula y=mx+b. The first thing you would need to find would be the slope, or m. So, you would find the slope and conclude the answer is -2. After that, you would solve for b and get the answer. Hope this helped!

A farm is to be built in the shape of Quadrilateral ABCD, as shown below. All four sides are equal.

A rhombus ABCD is shown with diagonal AC equal to 18. 3 feet and diagonal BD equal to 13.8 feet

What is the area of the farm? (1 point)

a
73.2 square feet
b
111.2 square feet
c
126.27 square feet
d
168.36 square feet

Answers

Answer:

c  126.27 square feet

Step-by-step explanation:

sum of two triangles

18.3 * (13.8/2) * 2 = 126.27

SOLVE FOR X. pls i need help

Answers

X=8
Set up proportions would give you: 10/3x+1 = 22/7x-1
With that in mind, cross multiply, which would give you: 10(7x-1) = 22(3x+1).
Turns into: 70x -10 = 66x+22. Then just solve for x

50. If angles are complementary, what’s value of x?

Answers

Answer:

x = 14

Step-by-step explanation:

For complementary angles, the sum of two angles is equal to 90 degrees.

We have,

[tex]m\angle ABC = 4x-10\\\\m\angle DBC = x+30[/tex]

ATQ,

[tex]4x-10+x+30=90[/tex]

Taking like terms together,

4x+x =90-30+10

5x = 70

x = 14

So, the value of x is 14.

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