Prove that opposite sides of a parallelogram are congruent. Be sure to create and name the appropriate geometric figures. (10 points)

Answers

Answer 1

Answer:

Theorem : Opposite sides of a parallelogram are congruent or equal.

Let us suppose a parallelogram ABCD.  

Given: and  (According to the definition of parallelogram)

We have to prove that: AB is congruent to CD and BC is congruent to AD.

Prove: let us take two triangles,  and

In these two triangles,  { By the definition of alternative interior angles}

Similarly,                        

And,                                AC=AC (common segment)

By  ASA,  

thus By the property of congruent triangle, we can say that corresponding  sides of  are also congruent.

Thus, AB is congruent to CD and BC is congruent to AD.

Step-by-step explanation:


Related Questions

Ten less than seven times a number is twenty three.

Answers

Answer:

I believe the number is 4.7

i think it’s 10-7x=23

Mr. Moore has 5 1/4 pounds of dry fish food. He will be putting an equal amount of food into 3 containers. How much fish food will be in each container?

Answers

5 and 1/4 can be 5.25 so all you have to do is divide that by 3 and you’ll get 1.75 per container.

If you wanted to keep it as a fraction, 5 and 1/4 would become 21/4 (you do 5 x 4= 20 + 1) and for fractions I always remembered dividing as ‘Keep, Change, Flip’ so you would do 21/4 for keep. Change would be to change the sign from division to multiplication. And for Flip you would flip 3 over 1 (3/1) to 1/3

Putting that all together would be 21/4 x 1/3 which also equals 21/12 by multiplying the denominators and numerators. Then you simplify, dividing it by 3 to equal 7/4 and another simplify to be 1 and 3/4 which is 1.75.


Hope this helps!

Is 9% of 998 pages less or larger HURRYYYYYYYY

Answers

Less than, Have Ah Good Day

Answer:

less that is it have good day

Factor the expression completely, -12.75 + 4.25x

Answers

-8.25x I believe

Explanation: when you add the two you get 8.25 but there are more negatives then positives so it’s gonna be negative and then you just add the x at the end

A dog that weighs 15 pounds should eat 2 1/8 cups of a certain type of dog food per day. How much of the same type of dog food should be fed, per day, to a dog who weighs 34 pounds?

Enter your answer in reduced form.

Answers

Answer:

289/60

Step-by-step explanation:

someone help me!! thank you

Answers

Answer:

0-12

1-24

2-36

3-48

Step-by-step explanation:

Which statement about rigid transformations is true?

A.
A rigid transformation preserves only the side lengths of a polygon.

B.
A rigid transformation preserves only the angle measures of a polygon.

C.
A rigid transformation preserves both the side lengths and the angle measures of a polygon.

D.
A rigid transformation preserves neither the side l

Answers

Answer:

The answer is B because it is only the measure of the polygon

how do you write 4 more than A as an expression ​

Answers

Answer:

a + 4

Step-by-step explanation:

a is the initial value

you are adding four, so it becomes a + 4

Find the probability of getting four consecutive aces when four cards are drawn without replacement from a standard deck of 52 playing cards.​

Answers

Answer:

P=0.0000037

P=0.00037%

Step-by-step explanation:

Probability

A standard deck of 52 playing cards has 4 aces.

The probability of getting one of those aces is

[tex]\displaystyle \frac{4}{52}=\frac{1}{13}[/tex]

Now we got an ace, there are 3 more aces out of 51 cards.

The probability of getting one of those aces is

[tex]\displaystyle \frac{3}{51}=\frac{1}{17}[/tex]

Now we have 2 aces out of 50 cards.

The probability of getting one of those aces is

[tex]\displaystyle \frac{2}{50}=\frac{1}{25}[/tex]

Finally, the probability of getting the remaining ace out of the 49 cards is:

[tex]\displaystyle \frac{1}{49}[/tex]

The probability of getting the four consecutive aces is the product of the above-calculated probabilities:

[tex]\displaystyle P= \frac{1}{13}\cdot\frac{1}{17}\cdot\frac{1}{27}\cdot\frac{1}{49}[/tex]

[tex]\displaystyle P= \frac{1}{270,725}[/tex]

P=0.0000037

P=0.00037%

Rewrite the expression 16 + 32 as the product of the greatest common factor and the sum of the remaining numbers. Group of answer choices 2(8 + 16) 8(2 + 4) 4(4 + 8) 16(1 + 2)

please help and the question is in the docs

Answers

Answer:

sfuc,k u

Step-by-step explanation:


Speedeez Go Carts charges $10 plus $2.50 per lap. Which best describes the relationship between total cost and the number
of laps?

Answers

Answer:

10+2.50*L

Step-by-step explanation:

It first says they charge $10 PLUS $2.50 per lap.

If I were to go only 1 lap my total would be $12.50, that's why the number of laps is labeled L because we don't know how many laps the customer is going to make.

There are 30 students Ms. Washington’s class. Sixteen of the students are in band. What percent of Ms. Washington’s class is in band?

Answers

Answer: 53.33

Step-by-step explanation:

Triangle A′B′C′ is the image of ΔABC under a dilation such that A′B′ = 3AB. Triangles ABC and A′B′C′ are

A.congruent but not similar
B.similar but not congruent
C.both congruent and similar
D.neither congruent nor similar
PLS HELP

Answers

the correct answer is c if that is what you were looking for

Triangles ABC and A′B′C′ are similar but not congruent.

Hence, Option B is true.

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

We have to given that;

Triangle A′B′C′ is the image of ΔABC under a dilation such that,

⇒ A′B′ = 3AB.

Hence, The ratio of there corresponding sides are equal.

And, The length are not equal.

Thus, Triangles ABC and A′B′C′ are similar but not congruent.

Learn more about the triangle visit;

brainly.com/question/1058720

#SPJ3

Whats 2 & 1/2 divided by 3 & 1/3

A = 3/5

B = 3/4

C = 4/10

D= 15/12

help pls 25 points

Answers

Answer:

B = 3/4

Step-by-step explanation:

2 1/2 / 3 1/3

can be written as 5/2 divided by 10/3. I always use keep, switch, flip technique with fractions. keep 5/2 switch the division to multiplication, flip the 10/3 to 3/10

5/2 x 3/10 cross multiply

15/20 = 3/4

Answer:

It would be B. 3/4

Step-by-step explanation:

You turn the mixed numbers into improper fractions then you divide by using the reciprocal of the 3 & 1/3. This will leave you into the equation "5/2 * 3/10"

When multiplied, you will get "15/20" which simplifies to "3/4"

What is the rate of change of (-3,7) and (5,-9)

Answers

Answer: sorry wish I could help

Step-by-step explanation:

Amy earned $25 after babysitting for 3 hours. If she always charges the same rate, how much will she make after working for 7 hours?

Answers

Answer:

$58.33

Step-by-step explanation:

Set up a proportion where x is the amount she makes for 7 hours:

[tex]\frac{3}{25}[/tex] = [tex]\frac{7}{x}[/tex]

Cross multiply and solve for x:

3x = 175

x = 58.33

So, after working for 7 hours, she will make $58.33

Answer:

About 60-65$

Step-by-step explanation:

Because every 3 hours she gets $25 and she worked 7 hours so there's 6 in 7 hours so 25+25 is 50 and the other hour would be half of 25 so 12.5 so between 60-65. Im so sorry if its wrong hope it worked tho! <3

please help!!!!!!! and round your answer to a whole number :)))

Answers

Answer:it would Be 16 I think-

Step-by-step explanation:

If a restaurant charges $9.90 for 2 sandwiches, how much will the restaurant charge for 15 sandwiches?

Answers

they will charge 74.25

A track team has 4 runners on a relay team. If by coincidence each runner takes an average of 45.48 seconds to complete her leg of the relay, what is the total time to run the relay?

Answers

Answer:

181.92 seconds

Step-by-step explanation:

We are given that,

Time taken by each person in the team = 45.48 seconds

Number of members in the team = 4

It is required to find the total time taken by the team to finish the race.

Thus, the time taken taken = 4 × 45.48 = 181.92 seconds

Hence. the team finished the race in 72.4 seconds.

the cytlindrical part of an architectrual column has height of 325cm and a diameter of 30cm. Find the volume of the cytlindrical part of the column. use 3.14 and round your answer to the nearest cubic centimeters if needed

Answers

229612.5 cm
To find the volume of a cylinder you have to use this equation V= (3.14)r^2h The (r) representing the radius and the (h) of representing the height It’s and to find Radius from diameter you have to find half of the diameter.

Answer:

Step-by-step explanation:

229,613 cm ^3 took test.

please help will give brainliest

Answers

Answer:

I think 5/15 is the answer

Step-by-step explanation:

Which region represents the solution to the given system of inequalities?

Answers

Answer:

The intersection region shown in the graph attached is the solution of the system of inequalities.

Step-by-step explanation:

Answer:

Region A

Step-by-step explanation:

y<-1/2x

y greater than or equal to 2x+3

Does anyone know how to do this?

Answers

Answer:

the 8 means there will be 8 zeros after it so

62.00000000

yw

Describe the nature of the roots for the equation
49x2– 28x +4 = 0

Answers

Answer:

The roots of the equation is real and repeated

Step-by-step explanation:

Here, we want to describe the nature of the roots of the given quadratic equation

To get the nature of the roots, we find the discriminant of the equation

The discriminant is;

b^2 - 4ac

In this case, b = -28 , a = 49 and c = 4

The discriminant is thus;

-28^2 - 4(49)(4)

= 784 - 784 = 0

Since the discriminant is zero, this means that the quadratic equation has real roots which are the same

y=-x-4
y=x

solve system of equations algebraically​

Answers

Answer:

y=-2 x=-2

Step-by-step explanation:

y=-x-4

y=x

you can plug y in for x in the first equation by using substitution

y=-y-4

and then you solve for y

2y=-4

y=-2

so y equals -2. Since y=x, x also equals -2. Therefore

y=-2 x=-2

3 (3w − 4) = −20
Solve for w, please

Answers

Answer:

[tex]\boxed {x = -\frac{8}{9}}[/tex]

Step-by-step explanation:

Solve for the value of [tex]w[/tex]:

[tex]3(3w - 4) = -20[/tex]

-Use Distributive Property:

[tex]3(3w - 4) = -20[/tex]

[tex]9w - 12= -20[/tex]

-Add both sides by [tex]12[/tex]:

[tex]9w - 12 + 12 = -20 + 12[/tex]

[tex]9w = -8[/tex]

-Divide both sides by [tex]9[/tex]:

[tex]\frac{9w}{9} = \frac{-8}{9}[/tex]

[tex]\boxed {x = -\frac{8}{9}}[/tex]

Therefore, the value of [tex]w[/tex] is [tex]-\frac{8}{9}[/tex].

Hey having trouble the answer is -8/9 have a great day

Which figure is missing in the pattern?

Answers

Answer:

B

Step-by-step explanation:

The pattern is square numbers so

1, 4, 9, 16, 25

Expand.
Your answer should be a polynomial in standard form.
(3b-4)(b+2)=

Answers

Answer:

3b^2 +2b -8

Step-by-step explanation:

Answer:

[tex]3b^2+2b-8[/tex]

Step-by-step explanation:

answer question for brainliest

The table shows the listed sale price for bottled water at four stores.


Which store charges the LEAST amount per bottle of water?

Store 1 Store 2 Store 3 Store 4
Three 12 packs One 12 pack Four 6 packs One 6 pack
$10.49 $3.89 $7.99 $2.29
A
Store 1

B
Store 2

C
Store 3

D
Store 4

Answers

Answer:

I believe it d I'm sorry if it wrong but if I'm right mark brainlyest please

(x-3)2 = 4x
Which of the following is a value of x that satisfies the equation above?

Answers

Answer:

x=-3

Step-by-step explanation:

Answer:

x = -3

Step-by-step explanation:

2(x - 3) = 4x

2x - 6 = 4x

2x - 4x = 6

-2x = 6

x = -3

I hope this helps you :)

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