in quadrilateral ABCD shown the two diagonals AC and BD intersect at point E

Which of the following statements, along with the given information, is both necessary and sufficient to prove that ABCD is a parallelogram?
A) AC 1 BD
B) AB CE and BE DE
C) AB CD and BS CE
D)m ABC + m/BAD - 180

In Quadrilateral ABCD Shown The Two Diagonals AC And BD Intersect At Point EWhich Of The Following Statements,

Answers

Answer 1

Answer:

your answer is B AB CE and BE DE

So mark me as brainliest

Answer 2

The statements that are necessary and sufficient to prove that ABCD is a parallelogram are, (B), (C) and (D).

What is a parallelogram?

A basic quadrilateral with two sets of parallel sides is known as a parallelogram. In a parallelogram, the opposing or confronting sides are of equal length, and the opposing angles are of equal size.

The area of a parallelogram is base multiples by height as two triangles form a parallelogram.

From the properties of parallelograms the statements that are necessary and sufficient to prove that ABCD is a parallelogram are,

[tex]\overline{AE}[/tex] ≅ [tex]\overline{CE}[/tex] and [tex]\overline{BE}[/tex] ≅ [tex]\overline{DE}[/tex]  as diagonal of a parallelogram bisect each other.

[tex]\overline{AB}[/tex] ≅ [tex]\overline{CD}[/tex] and [tex]\overline{BE}[/tex] ≅ [tex]\overline{CE}[/tex] opposite sides of a parallelogram are equal.

m∠ABC + m∠BAD is 180° as the sum of the adjacent sides in a parallelogram are supplementary.

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Related Questions

A square has a perimeter of 8g + 16. Which expression also represents the perimeter given the side length of the square?

Answers

Answer:

4(2g+4)

Step-by-step explanation:

8g+16

Since this expression represents the total perimeter, we need one side length. So we divide this by 4, because it's a square and all sides are of equal length.

8/4=2

16/4=4

One side is 2g+4. So multiply that equation by 4.

4(2g+4)

DOUBLE CHECK

4(2g+4)

8g+16

---

hope it helps

Answer:

4(2g+4)                                                                :):):):):):):):):):):):)

can someone help me with this it will be much appreciated

Answers

Answer:

C) d=400t

Step-by-step explanation:

400mph means 400 miles per hour. (So every hour 400miles is covered due to the fact that its constant)

Therefore, to have the total distance, we take the 400 and multiply it by the amount of Time spent. (T in this inatance)

EXPLAIN PLEASE HSHSJJS

Answers

the answer is c!!!! hope this helps

Please help with this math ;-;

Answers

Answer:

592

Step-by-step explanation:

Surface area of a rectangular prism = 2lw + 2lh + 2wh

where w = width, h = height and l = length

These are the given dimensions...

length = 12 cm

width = 8 cm

height = 10 cm

To find the surface area we plug in the given values into the formula

[tex]SA=2(12)(8)+2(12)(10)+2(10)(8)\\12*8=96\\96*2=192\\12*10=120\\120*2=240\\10*8=80\\80*2=160\\160+240+192=592[/tex]

Hence, the surface area of the rectangular prism is 592

An isosceles triangle has an angle that measures 48°. Which other angles could be in that isosceles triangle? Choose all that apply.

Answers

48°, 84°, 66°
i think lol

PLEASE ANSWER NOW I WILL GIVE BRAINLIEST AND 100 POINTS
Angle D is a circumscribed angle of circle O.

Circle O is shown. Triangle A C B is inscribed within circle O. Side A B goes through point O. The length of A C is 15 and the length of C B is 8. Angle A C B is a right angle. Line segment O E is a radius. Tangents B D and E D intersect at point D outside of the circle to form kite O B D E. Angles O B D and D E O are right angles. The length of E D is 5.

What is the perimeter of kite OBDE?

17 units
23 units
27 units
60 units

Answers

Answer: 27

Step-by-step explanation:

Answer:

C. 27

Step-by-step explanation:

A new car cost $28,950. It loses 15% of its value each year. The formula V(t) = 28,950(1-0.15) models this situation. What does V(t) represent?​

Answers

Answer:

the answer is 67789 because he will have enough money for the car to play

A 50-foot ladder is leaning against a vertical wall and forms an angle of 75 degrees with the ground.

Answers

Answer:

height of the wall ] is 48.25ft

Step-by-step explanation:

Given data

Length of ladder= 50ft

Angle= 75°

We want to find the Height of the wall

Applying the SOH CAH TOA

sin ∅= opposite/hypotenus

sin 75= opposite/ 50

0.965= opposite/ 50

opposite=0.965*50

opposite=  48.25ft

Hence the height of the wall ] is 48.25ft

Every quadrilateral has a line of symmetry.

true

False

Answers

Answer:

false, a parallelogram does not have any lines of symmetry

Step-by-step explanation:

If A and B are mutually exclusive events then the probability of A happening OR the probability of B happening is P(A) + P(B).

Answers

Answer:

a

Step-by-step explanation:

just did it

8x + 7y + 6z– 5x – 4y - 3z

Answers

8x-5x+7y-4y+6z-3z
3x+3y+3z

Answer:

3x+3y+3z

Step-by-step explanation:

Hannah just put a 36-foot long
fence around her rectangular
garden. What is the length of the
garden if it is 12 feet wide?

Answers

Answer:

perimeter=sum of all sides

p=2(L+W)

36=2(L+12)

36-24=2L

12=2L

L=6

A rectangle is a 2-D shape with 4 angles. The length of the garden if it is 12 feet wide is 3 feet

How to calculate the perimeter of a rectangle?

A rectangle is a 2-D shape with 4 angles. The formula for calculating the perimeter of a rectangle is expressed as:

P = 2(length + width)

Given

Perimeter = 30 feet

width = 12 ft

Substitute

30 = 2(l + 12)

15 = l + 12

l = 3 feet

Hence the length of thegarden if it is 12 feet wide is 3 feet

Learn more on perimeter of rectangle here: https://brainly.com/question/19819849

Please help







Thanks I really need help and appreciate it

Answers

Answer:

umm can you tell us the options then I can say what the answer is and I'll edit or put it in the comments

Step-by-step explanation:

have a good rest of your day tho :) ❤

Smart people I ask for you to help me pls

Answers

Answer:

d) -90º

Step-by-step explanation:

Someone please help me I’ll give out brainliest please dont answer if you don’t know

Answers

Answer:

1 < x

Step-by-step explanation:

We have to used same order of operations just as we would in an equation;

15 > -x + 16

=> First subtract 16 from each side

-1 > -x

=> To bring x to positive, divide each side by -1 (Since we are dividing by a negative value, the inequality sign will switch)

Therefore the answer is: 1 < x

Hope this helps!

Answer:

15>-x+16

-1>-x

1<x

hope this helps

have a good day :)

Step-by-step explanation:

Write an explicit formula for a_na n ​ , the n^{\text{th}}n th term of the sequence 5, -25, 125,

Answers

The explicit formula for the given geometric sequence is [tex]a_n=5\times(-5)^{n-1}[/tex].

The given sequence is 5, -25, 125,.......

Here, the common ratio is -25/5 = -5 and 125/(-25) = -5.

We know that, the explicit formula for an geometric sequence is [tex]a_n=ar^{n-1}[/tex].

Where, a = first term of the sequence, r= common ratio and n = number of terms.

Substitute, a=5 and r=-5 in [tex]a_n=ar^{n-1}[/tex], we get

[tex]a_n=5\times(-5)^{n-1}[/tex]

Therefore, the explicit formula for the given geometric sequence is [tex]a_n=5\times(-5)^{n-1}[/tex].

To learn more about the geometric sequence visit:

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Put numbers in the blank to show the meaning of 5x2 =10


___ is ___ times as ____

Answers

Answer:

10,2,5

Step-by-step explanation:

The correct answer is
10 is 2 times as 5

Solve: 7×-4=-8×+8
hurry!​

Answers

The answer to your question is X=4/5




Answer:

x = 4/5

FILLER FILLER FILLER

Johnny's drink coaster has a radius of 4 inches. what is the coasters diameter

Answers

Answer:

the coaster diameter is 8

diameter=2r d=4+4 #d=8

(5x)/6 + 11/4 = 17/3

Answers

Answer: Exact Form: x = 7/2

Decimal Form: x = 3.5

Mixed Number Form: x = 3 1/2

How to: Solve for  x  by simplifying both sides of the equation, then isolating the variable.

Have a great day and stay safe !

What is the probability of spinning a number greater than 7 or an odd number? (1 Point)
A.3/10
B.7/10
C.5/10
D.9/10​

Answers

B) 7/10
It is B because there are 7 out of 10 possibilities that you would get a number greater than 7 or an odd number.

Which is the better value? 3 sandwiches for $15.00 or 4 sandwiches for $21.00? PLEASE EXPLAIN DO NOT PUT ANY LINKS

Answers

Answer:

3 for 15

cheaper

all you have to do is divide the number of sandwiches by the money.

(i answered again because its a waste of points)

what is -42=5(2c+9)-3(c+8)
MUST SHOW WORK!!!

Answers

Answer:

The variable c=9 is the answer the varibles

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

c = −15.8571428571

Step-by-step explanation:

-42 = 5(2c + 9) - 3(c + 8)

-42 = 10c + 45 - 3c + 24

-42 = 10c - 3c + 45 + 24

-42 = 7c + 69

-7c -7c

-------------------

-7c - 42 = 69

+42. +42

___________

-7c/-7 = 111/-7

c = −15.8571428571

What is the INTERQUARTILE RANGE for the data: , 3, 4, 4, 6, 7, 7, 9,

Answers

Answer:

The interquartile range for this data set is 3.

Step-by-step explanation:

We are given the data set : 3, 4, 4, 6, 7, 7, 9

In order to find the interquartile range, we can create a box plot for this data set. Each box plot contains a minimum, lower quartile, median, higher quartile, and maximum. Let's find the minimum and maximum before the others as it is the easiest one to identify. The minimum here would be 3 since that's the lowest number here in this data set. The maximum here would be  9 since that's the highest number here in this data set. Before we find the lower and higher quartile, let's find the median first since that way, we don't get mixed up between so many numbers. To find the median, you need to find the value that lies at the middle point throughout the data set. Since there are 7 values in this data set which is a odd number, all we need to do is cross out the first and last value as each set goes by.

3, 4, 4, 6, 7, 7, 9

   4, 4, 6, 7, 7

       4, 6, 7

           6

The work above shows each set of the first and last value getting shorter and shorter, so the median of the data set would be 6. The values, 3, 4, and 9 have already been used. Now that we know the median, the second lowest number here is 4 (lower quartile) and the second highest number here is 7 (higher quartile). In order to find the interquartile range, you need to find the difference between the lower quartile and higher quartile, which means to subtract.

7 (higher quartile) and 4 (lower quartile) = 3 (interquartile range)

Therefore, the interquartile range for this data set is 3.

A soccer player kicks a ball towards the goal. The height of the ball follows a path modeled by the function ℎ()=−162+112. How long does it take the ball to hit the ground?

Answers

If a soccer ball is kicked straight up from the ground with an initial velocity of 32 feet per second, then it's height above the earth in feet is given by s(t)=-16t^2+32T where t

He fourth-grade students at Curtis Estabrook make up 0.3 of all students​ at the school. What fraction is equivalent to 0.3? ​

Answers

Answer:

3/10

Step-by-step explanation:

fouth grade students at Estrabook make up 0.3 percents of the students at school

The fraction is therefore equivalent to

= 3/10

Pleaseeee help me it’s a pre quiz and I’m alone with the teacher

Answers

Answer:

x= 6; y=3 root 3; m=6; n= 6 root 2; a=2; b=2

Step-by-step explanation:

Special Triangles

Can someone plz help me out with this I will really appreciate it no links plz

Answers

Answer:

B

Step-by-step explanation:

1) use a proportion to find how many students chose pizza

30 : 100 = x : 80

x = (80 x 30)/100 = 24

2) use a proportion to find how many students chose salad

10 : 100 = x : 80

x = (80 x 10)/100 = 8

3) solve the question

24 - 8 = 16

Answer:

12 STUDENTS CHOSE HAMBURGERS

24 STUDENTS CHOSE PIZZA

16 STUDENTS CHOSE SANDWHICHES

20 STUDENTS CHOSE HOT DOGS

8 STUDENTS CHOSE SALAD

24 = PIZZA

8 = SALAD

8 - 24 = 16 SO B

i dont know why everything i capitilized sorry haha

Step-by-step explanation:

Pythagorean theorem: find the perimeter
What is the perimeter?

Answers

Answer:

5

Step-by-step explanation:

Lets recall what the pythagroens theorm is:

A^2+B^2=C^2. A and B are the side lengths(adjacent and opposite), while C is the longest sloped length(hyotenouse).

Lets plug in our values for each, and solve for the missing one:

12^3+b^2=13^2

Square each value(except for unknown):

144+b^2=169

Now get b alone(subtract 144 from both sides):

b^2=25

Now root both sides(removes the ^2):

b=5

This is your answer!

Hope this helps! :)

The product of two positive numbers is 84. The larger number is 2 more than twice the smaller number. What is the larger number?

Answers

Answer:

44. (Sorry if im incorrect. I don't clearly understand the question)

Step-by-step explanation:

Answer:

14 or -12

Step-by-step explanation:

Start by writing an equation for this.

84 = x * (2x + 2)

This expression works because 84 is the product of the number (x) and twice the number plus 2.

Using the equation, solve for x.

84 = x * (2x + 2)

First, simplify.

84 = 2x^2 + 2x

Subtract 2x^2 + 2x to make the equation equal to 0.

84 - 2x^2 + 2x = 0

Factor:

−2(x − 6)(x + 7) = 0

Set factors equal to 0.

x − 6 = 0 or x + 7 = 0

x = 6 or x = -7

x represents the smaller number. The larger number is 2x + 2.

So double x and add 2.

2(6) = 12 and 12 + 2 = 14 so that's one of the options

2(-7) = -14 and -14 + 2 = -12 so that's the other.

Check:

14 * 6 = 84

-12 * -7 = 84

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