Given quadrilateral ABCD, where the diagonals AC and BD intersect at point E. AE≅EC and BE≅DE Can you prove can you prove that the figure is a parallelogram? Explain. A. Yes; two opposite sides are both parallel and congruent. B. Yes; diagonals of a parallelogram bisect each other. C. Yes; opposite sides are congruent. D. No; you cannot determine that the quadrilateral is a parallelogram.

Answers

Answer 1

Answer:

B. Yes; diagonals of a parallelogram bisect each other.

Step-by-step explanation:

The diagonals of a parallelogram bisect each other. If the diagonals of a quadrilateral bisect each other, the quadrilateral is a parallelogram.

Answer: B. Yes; diagonals of a parallelogram bisect each other.

Answer 2

If AE=EC and BE=DE then quadrilateral ABCD is a parallelogram because  diagonals of parallelogram bisect each other.

What is parallelogram?

A parallelogram is a 2 dimensional figure whose opposite sides are equal to each other and parallel to each other. Area of parallelogram is base*height.

How to prove quadrilateral a parallelogram?

To be parallelogram ΔAEB and ΔEDC should be congruent.

Angle AEB= Angle DEC

AE=EC

DE=EB

so both triangles are congruent by side, side, angle.

Similarly AE=EC , DE=EB and vertical angles AED= Vertical angle BEC.

Therefore triangle AED and BEC are congruent and that makes all their corresponding sides are also congruent.

And AB=DC.

Hence both pairs of opposite sides of a quadrilateral are congruent ,then the quadrilateral is a parallelogram.

Learn more about parallelogram at https://brainly.com/question/970600

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Given Quadrilateral ABCD, Where The Diagonals AC And BD Intersect At Point E. AEEC And BEDE Can You Prove

Related Questions

Which of the following ranges is most appropriate to represent the numerical data on the vertical axis of a Bar Chart? OA) 0 to 60 OB) 10 to 20 OC) 0 to 55 OD) 30 to 60​

Answers

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Answer:

C

Step-by-step explanation:

I took the quiz

Create a system of equations that includes one linear equation and one quadratic equation.Part 1. Show all work in solving your system of equations algebraically.

Part 2. Graph your system of equations and show the solution graphically to verify your solution.

Answers

Answer:

The simplest system:

y = xy = x²

Solve by eliminating y:

x² = xx(x - 1) = 0x₁ = 0 x₂ = 1

Then the value of y:

y₁ = 0y₂ = 1

The graphical solution is attached

(0, 0), (1, 1)

Answer:

The simplest system:

y = x

y = x²

Solve by eliminating y:

x² = x

x(x - 1) = 0

x₁ = 0

x₂ = 1

Then the value of y:

y₁ = 0

y₂ = 1

The graphical solution is attached

(0, 0), (1, 1)

Step-by-step explanation:

Which Mean Absolute Deviation represents more consistency? 15.2 or 10.9

Answers

Answer:

10.9

Step-by-step Explanation:

The Mean Absolute Deviation of a given data set tells us how far apart, on average, each data value is to the mean of the data set.

The smaller the Mean Absolute Deviation of a given data set is, the closer each data value is to the mean. This also implies less variability of the data set.

Invariably, the smaller the M.A.D, which connotes less variability, the more consistent the data set is.

Therefore, a M.A.D of 10.9 represents more consistency than a M.A.D of 15.2

The monthly budget is shown in the circle graph. The family has a
income of $4800 How much money do they spend on transportation each
C. $240
D. $288​

Answers

Answer:

$240

Step-by-step explanation:

The amount they spend on a monthly basis for transportation = percentage represented on the circle covered by transportation ÷ 100% × the total monthly income.

= [tex] \frac{5}{100} * 4800 [/tex]

[tex] = 0.05 * 4800 = 240 [/tex]

Money spent on transportation = $240

Answer: the cash that is Paid each is 240$

A paper company needs to ship paper to a large printing business. The paper will be shipped in small boxes and large boxes. The volume of each small box is 9 cubic feet and the volume of each large box is 24 cubic feet. A total of 24 boxes of paper were shipped with a combined volume of 441 cubic feet. Write a system of equations that could be used to determine the number of small boxes shipped and the number of large boxes shipped. Define the variables that you use to write the system.

Answers

Answer:

9 small boxes and 15 large boxes

Step-by-step explanation:

x = small box

y = large box

x + y = 24

9x + 24y = 441

-9x - 9y = -216

15y = 225

y = 15

x + 15 = 24

x = 9

Answer:

Let x be the small boxes

Let y be the large boxes

x+y=24

9x+24y=441

Step-by-step explanation:

3. Find the volume of the pyramid.

Answers

Answer:

[tex]916.11\:ft^{3}[/tex]

Step-by-step explanation:

Volume of the hexagonal pyramid =  [tex]1/3\times (area\: of \: hexagonal\:base)\times height[/tex]

Here sides of hexagonal base = 9 ft

So, Area of hexagon = [tex]6\times \frac{\sqrt{3} }{4} a^{2}[/tex]

[tex]6\times \frac{\sqrt{3} }{4} \times 9 \times 9[/tex]

[tex]= 210.5[/tex]

Height is given, 13 ft

So, volume = [tex]1/3\times 210.5\times 13[/tex]

[tex]= 916.11\: ft^{3}[/tex]

OAmalOHopeO

PLEASE ANSWER ASAP THANK YOU!!!

How much money will be in a bank account after 3 years if $9 is deposited at an interest rate of 5% compounded annually? Round to the nearest dollar.

Answers

Answer:

$10.42

Step-by-step explanation:

Compound interest formula: A=p(1+r/n)^nt

9=p, r=0.05, n=1, and t=3

A=9(1+0.05)^3

A=9(1.05)^3

Plug this into calculator and you get $10.42

Answer:

A  = $10.42

Step-by-step explanation:

The appropriate formula is the "compound amount" formula given by

A = P(1 + r)^t,

where P is the initial amount, r is the annual interest rate as a decimal fraction, and t is the number of years elapsed.

Here:  

A = $9(1 + 0.05)^3, or

A  = $9(1.05)^3, or

A  = $10.42

The point slope formula (if possible) to write an equation of the line given the following information…we

Answers

The equation in point slope form is y - 6 = 2(x + 3)

This is from the general point slope template of [tex]y - y_1 = m(x - x_1)[/tex]

The m is the slope, which in this case is m = 2. The [tex](x_1,y_1)[/tex] is the point the line goes through. In this case, [tex]x_1 = -3 \text{ and } y_1 = 6[/tex]

If you were to solve that equation in bold for y, then you should get y = 2x+12 which is now in y = mx+b form, aka slope intercept form.

Let P (2,-3), Q (-2, 1) be the vertices of the triangle PQR. If the centroid of ΔPQR lies on the line 2x +3y = 1, then the locus of R is a. 2x + 3y = 9 b. 2x - 3y = 9 c. 3x + 2y = 5 d. 3x - 2y = 5

Answers

Answer:

Correct answer is a. 2x + 3 y = 9.

Step-by-step explanation:

Let the coordinates of centroid be (h,k)

{h/3 , (-2+k)/3}

h = (2 – 2 + a)/3 = a/3 ---eqn 1

k= ( - 3+ 1 + b )/3 = (-2 + b)/3 -----eqn 2

Where (x,y) are any point on the line 2x+3y=1

3h = a and 3k + 2 = b

From 2x +3y = 1,

Then, 2h +3k = 1, 3k = 1 - 2h -----eqn 3

b = 1 - 2h + 2 = 3 - 2h

also b = 3 - 2a/3

b = (9 -2a)/3

3b = 9 - 2a

3b + 2a = 9

Now (x,y) satisfy the point on the line 2x+3y=9

So the locus is 2x + 3 y = 9.

The inequalities x < -5 and -X > -5 are the same.
True
False

Answers

QUESTION-:

The inequalities x < -5 and -X > -5 are the same.

True

False

ANSWER-:

FALSE

!! HOPE ITS HELP U !!

What value of x is in the solution set of –5x – 15 > 10 + 20x? –2 –1 0 1

Answers

Answer:

-2

Step-by-step explanation:

5x – 15 > 10 + 20x

Subtract 5x from each side

5x – 15-5x > 10 + 20x-5x

-15 > 10+15x

Subtract 10 from each side

-15-10 >15x

-25 > 15x

Divide each side by 15

-25/15 > x

-5/3 > x

X must be less than -1  2/3

The only value that is less than -1 2/3 is -2

Answer:

x< -5/3x is less than -5/3 , so answer = -2

Step-by-step explanation:

[tex]5x - 15 > 10 + 20x\\\mathrm{Add\:}15\mathrm{\:to\:both\:sides}\\\\5x-15+15>10+20x+15\\\mathrm{Simplify}\\\\5x>20x+25\\\\\mathrm{Subtract\:}20x\mathrm{\:from\:both\:sides}\\\\5x-20x>20x+25-20x\\\\\mathrm{Simplify}\\\\-15x>25\\\\\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}\\\\\left(-15x\right)\left(-1\right)<25\left(-1\right)\\\\\mathrm{Simplify}\\\\15x<-25\\\\\mathrm{Divide\:both\:sides\:by\:}15\\\\\frac{15x}{15}<\frac{-25}{15}\\\\x<-\frac{5}{3}[/tex]

grade 5
mathematics
Add:
[tex] {3 }^{2} + \sqrt{64 + 36} [/tex]

Answers

3^2 + root 64 + 36

3^2 = 9

So, that is

9 + root 100

Root 100 = 10,

So that would be,

9 + 10

=19

Hope you understand. Plz let me know if you have any doubts.
Answer:

19

Step-by-step explanation:

3^2 + sqrt rt of 64 + 36

Simplify the exponent

9 + sqrt rt of 64 + 36

Add

9 + sqrt rt of 100

Simplify the root

9 + 10

Add

19

600 becomes 720 in 2 years when the interest is simple if the rate of interest is increased by 2% then what will be the total amount.​

Answers

Hi

So:   720 -600 = 120

120 for two years makes   120/2 = 60 in a year .  

60 from 600 is   600/60 = 10  

Interest is  10 %  

If interest in 2% more, then it's 12%.  

I'm sure you can count 12% simple interest for two years, so I let you try.  

good luck.

Topic: Differential Calculus; limit of a function

Answers

Answer:

umm answer is 3 i think is this right?

0

Someone help plsssss

Answers

Its either (top to bottom) 1 or 4

A net is a two-dimensional pattern that can be folded to form a three-dimensional surface. T/F

Answers

Answer:  True

Explanation:

Consider a 3D cardboard box that you can unfold. It would unfold into a 2D net that you can then re-fold back into its 3D form. The 2D net is useful to help visualize and calculate the surface area. The surface area is simply the total area of all the external faces.

In the expression 2 ^3, the 3 is known as the

Answers

Answer:

3 is known as the power of 2.

Answer:

The three is the exponent, it is also called power so 2 to the power of 3

Step-by-step explanation:

Linda and Juan went shopping. Linda spent $16 less than Juan. If we let w represent how much Juan spent, write an algebraic expression for how much Linda spent. Example for answer: 3x^2+1, x/5, (a+b)/c

Answers

Answer:

Step-by-step explanation:

Money spent by Juan = $ w

Linda spent $16 less than Juan. So, we have to subtract 16 from the money spent by Juan

Money spent by Linda = w - 16

pls help, and explain. will give brainliest

Answers

Answer:

10.28

Step-by-step explanation:

Using ratio

12 : 9

8 :x

Crose multiple

12x = 72

Make x subject formula

x = 10,28

A woman deposit $600 into an account that pay 5 1/4% interest per year. How much interest will she recieve in one year ?

Answers

Answer:

$31.5

Step-by-step explanation:

Intrest = P. A. * Intrest Rate * Time

Intrest = 600 * 5.25 /100 = 31.5

1. Calculate the amount of gallons needed to fill the pool shown below.

Answers

Answer:

25,070 gal

Step-by-step explanation:

will make it simple and short.

vol =  ( a + b ) * h/2 times the depth

vol = (8 + 3.5) x (35/2) x 20 = 4025 cu. ft.  ---------->>> then convert to gal.

                              6.2288 gal

vol = 4025 cu.ft. x ----------------- =  25,070 gal

                                 1 cu.ft.

Use the function f(x) = 2x3 - 3x2 + 7 to complete the exercises.
f(−1) =
f(1) =
f(2) =

Answers

Answer:

2, 6, 11

Step-by-step explanation:

To evaluate f(- 1) substitute x = - 1 into f(x)

f(- 1) = 2(- 1)³ - 3(- 1)² + 7 = 2(- 1) - 3(1) + 7 = - 2 - 3 + 7 = 2

Similarly

f(1) = 2(1)³ - 3(1)² + 7 = 2(1) - 3(1) + 7 = 2 - 3 + 7 = 6

f(2) = 2(2)³ - 3(2)² + 7 = 2(8) - 3(4) + 7 = 16 - 12 + 7 = 11

Answer:

f(-1) = 2

f(1) = 6

f(2) = 11

Step-by-step explanation:

Got it right on Edge (⌣_⌣”)


Yesenia drove 45.3 miles on Monday and 3.8
miles more on Tuesday. How many miles did she
drive in all?

Answers

Answer:

49.1 milez

Step-by-step explanation:

Total miles driven=45.3+3.8=49.1 miles

PLS HELL I WILL GIVE BRAINLIST AND A THANK YOU

Answers

Answer:

[tex]\huge \boxed{20}[/tex]

Step-by-step explanation:

The angles add up to 90 degrees.

x + 2x + x + 10 = 90

Combine like terms.

4x + 10 = 90

Subtract 10 from both sides.

4x = 80

Divide both sides by 4.

x = 20

Answer:

x = 20

Step-by-step explanation:

Since we are solving for x let's create an equation

The whole thing is equal to 90 degrees, so we can keep that on one part of the equation

x + 2x + (x + 10) = 90

First let's add all of the x's together making it 4x + 10 = 90

Now subtract 10 from each side 4x = 80

Lastly, divide 4 on each side

x = 20

What, if any, are the solutions to the equation 2(x - 3) = 2x - 6?

Answers

Answer:

2(x-3)=2x-6

2x-6=2x-6

2x+2x=6+6

4x=12

4 4

x=3

Step-by-step explanation:

answer x=3

Can anyone help me with this?

Answers

Answer:

baba booey

Step-by-step explanation:

444

8(4k - 4) = -5k - 32

Answers

Answer:

k=0

Step-by-step explanation:

8(4k-4)=5k-32

32k-32=-5k-32

32k-32+32=-5k-32+32

32k=-5k

32k+5k=-5k+5k

37k=0

37k/37=0/37

k=0

Answer:

k=0

Step-by-step explanation:

To solve for k, we need to first distribute the 8 through the parenthesis.

32k-32=-5k-32

Lets add 5k to both sides.

37k-32=-32

add 32 to both sides

37k=0

divide 37 from both sides

k=0

what is |x-4| if x>4

Answers

Answer:

x-4

Step-by-step explanation:

If x>4, |x-4|>0 which means |x-4|=x-4

Morgan rewrote the expression 90 + (10 + 4.8) as (90 + 10) + 4.8. How will this change the work that is needed to evaluate the expression? PLZ I NEED THIS PLZ HELP ME

Answers

If the expression is kept in its original form, you would add 10 and 4.8 together to get 14.8 and then add 90 to receive an answer of 104.8. With the reworked expression, you add 90 and 10 first to get 100 and then add 4.8 to receive 104.8.

Answer: Because of PEMDAS, the way Morgan rewrote the expression would change the the order of the steps to simplify it.

Step-by-step explanation: PEMDAS is the order of operations and it stands for Parenthesis, Exponents, Multiply, Divide, Addition, and Subtraction. If we simplify Morgan's version of the expression, we would add 90+10 first, which makes 100, then add 4.8 which makes 104.8. We come to the same conclusion when simplifying the original expression, 104.8. The difference is that we add 10+4.8 first and then add it to 90. While in this situation, the outcome was not different, the order of operations was changed.

A circle is centered at C(-1,-3) and has a radius of 6. Where’d does the point P(-6,-6) lie?

Answers

(1,44) 1/23 he. said he is so happy
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