Name
8.2 Using Parallelograms in Proofs
1. Given: Parallelogram ABCD
DE I AB
BFI DC
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Prove: DE 2 BF
A
E
B

Name8.2 Using Parallelograms In Proofs1. Given: Parallelogram ABCDDE I ABBFI DCProve: DE 2 BFAEB

Answers

Answer 1

Answer:

Step-by-step explanation:

1) Parallelogram ABCD, [tex]\overline{DE} \perp \overline{AB}, \overline{BF} \perp \overline{DC}[/tex] (given)

2) [tex]\angle DAE \cong \angle FCB[/tex] (opposite angles of a parallelogram are congruent)

3) [tex]\angle AED[/tex] and [tex]\angle BFC[/tex] are right angles (perpendicular lines form right angles)

4) [tex]\angle AED \cong \angle BFC[/tex] (all right angles are congruent)

5) [tex]\overline{AD} \cong \overline{BC}[/tex] (opposite sides of a parallelogram are congruent)

6) [tex]\triangle AED \cong \triangle CFB[/tex] (AAS)

7) [tex]\overline{DE} \cong \overline{BF}[/tex] (CPCTC)


Related Questions

Simplify 5⁶/5³
A. 5³
B. 5²
C. 1³
D. 1²​

Answers

Answer:

d

Step-by-step explanation:

Answer:

A. 5^3

Step-by-step explanation:

5^6 = 15625

5^3 = 125

15625/125 = 125

Help me please!!!!

In a car race, for every mile covered by car A, car B covered 4 miles. The ratio of the number of miles covered by car A to the number of miles covered by car B is ___.

1 to 1
4 to 4
4 to 1
1 to 4

Answers

Answer:

1 to 4

Step-by-step explanation:

I don't think u want the explanation

if f(x)=7x+2, evaluate f(x+1)-f(x)

Answers

Answer would be 7 ))

A dog eats .5 of a pound of food every 50 minutes, at this rate how many pound will the dog have eaten after 200 minutes

Answers

The dog eats 2 pounds of food in 200 minutes. I got this: Since the dog eats .5 every 50 minutes, and you need to find how much he eats in 200, you have to do 200 divided by 50 first. The answer to that would be 4, so you would multiply 4 by the amount of food he eats in 50 minutes (.5), and get the answer of 2. Please correct me if I am wrong :)

The number of rate eaten by dog after 200 minutes: 2 pounds

What is ratio & proportion ?

A ratio is a divisional comparison of two quantities. It uses a fraction or quotient to represent the relationship between two numbers or quantities. For instance, we can describe the ratio 3:5 or the fraction 3/5 if we declare that there are 3 guys for every 5 ladies in a classroom.

Contrarily, the proportion equation declares that two ratios are equivalent. We can utilise proportion to solve problems with unknown amounts if we have two ratios that are equivalent.

We can use proportion to solve this problem:

If a dog eats 0.5 pound of food every 50 minutes, then in 1 minute, the dog will eat 0.5/50 = 0.01 pound of food.

Therefore, in 200 minutes, the dog will eat 0.01 x 200 = 2 pounds of food.

So the dog will have eaten 2 pounds of food after 200 minutes.

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What is the constant of proportionality between p and n?
Mr. Lopez teaches his classes how to make maraca
instruments by filling plastic eggshells with dried
beans. Mr. Lopez uses the equation p = 0.75n to
find the number of pounds p, of beans needed for
n classes.
Use the number pad to enter your answer in the box.

Answers

Answer:

0.75

Step-by-step explanation:

Constant of proportionality between p and n, is the ratio of both proportional quantities.

Thus, given the equation, [tex] p = 0.75n [/tex], of which Lopez uses, this equation represents the relation between both quantities.

The ratio of p and n = the constant of proportionality.

Thus:

[tex] p = 0.75n [/tex]

[tex] \frac{p}{n} = \frac{0.75n}{n} [/tex]

[tex] \frac{p}{n} = 0.75 [/tex]

Constant of proportionality = 0.75

What is the degree of the following polynomial: 5x7+4x5-3x4+2x3-4x+10?

Answers

Answer:

20

Step-by-step explanation:

7+5+4+3+1=20

the degree of the polynomial is 20

Which expression can be written as 2 • (4 + 9)?
A. 2 • 9 + 4
B. 2 • 4 + 9
C. (2 • 4) + (2 • 9)
D. (2 + 4) + (2 + 9)

Answers

Answer:

C

Step-by-step explanation:

the answer is C ;)))))))

The product of 5 and x decrease by 7 is as much as 42.

Answers

5(x)-7 5(9.8)-7 49-7 42

1. Anthony's team won the basketball game, scoring seventy-two points.The
other team only scored fifty-five points. Anthony scored 12 of those points, and
the six other players each scored the same number of points.How many points
did each of his teammates score?

Answers

Because Anthony’s team scored 72 points and Anthony scores 12 of those, that would be 72 - 12 = 60. Now if all of his teammates scored the same amount of points, you would divide 60/6 and get 10 points per Anthony’s teammates. Hope this helps!

square root of complex no. a+bi.....please answer it fast i m waiting​

Answers

Step-by-step explanation:

[tex](x { }^{2} - {y}^{2} ) {}^{2} = ( {x}^{2} + y {}^{2} ) {}^{2} - 4x {}^{2} y {}^{2} [/tex]

27 sandwiches using 12 pounds

Answers

If wanted to know how many pound is in each sandwich you divide 27 and 12 and your answer would be 2.25
I hope this will help

Checking Your Understanding
Quick
Check
There are 6 boys and 12 girls on a soccer team.
This ratio correctly describes the relationship between boys and girls on the soccer team

Answers

the ratio is - 6:12
(6 boys, 12 girls)

Answer:

There are 6 boys and 12 girls on a soccer team.

This ratio correctly describes the relationship between boys and girls on the soccer team:  

✔ For every 6 boys, there are 12 girls.

Step-by-step explanation:

Plz mark me as Brainlist

On a coordinate plane, a line goes through (0, negative 3) and (2, 2). A point is at (2, negative 3).
Complete the statements about finding the equation of the line that is parallel to line n and passes through point (2, –3).

The slope of the graphed line is
.
The slope of the parallel line is
.
An equation that can be used to find the y-intercept of the parallel line is
.
The y-intercept of the parallel line is
.
The equation of the parallel line is
.

Answers

Answer:

5/2,     5/2,     -3= (5/2)(2)+b,     -8,     y=(5/2)x-8

Step-by-step explanation:

Answer:

The slope of the graphed line is  

✔ 5/2

.

The slope of the parallel line is  

✔ 5/2

.

An equation that can be used to find the y-intercept of the parallel line is  

✔ –3 = (5/2)(2) + b

.

The y-intercept of the parallel line is  

✔ –8

.

The equation of the parallel line is  

✔ y = (5/2)x – 8

.

Step-by-step explanation:

Students in a classroom have eaten 20% of jellybeans from a jar. There are now only 100 jellybeans left! How many jellybeans
were in the jar to begin with?​

Answers

Answer:

125 to start with

Step-by-step explanation:

Find 4,290 + 3,602. Explain how to use mental math to solve.

Answers

answer: 7892

explanation: add each number individually left to right. 4+3 , 2+6 , 9+0 , 0+2

The diagram shows the graph of y=2x+c
Find the value of k

Answers

Answer:

can you add the photo

Step-by-step explanation:

Answer:

Value of K:

K=6.5

Step-by-step explanation:

(2/5) x ( - 5/4) Can someone please help me

Answers

answer would be -1/2

-8n - 8 = -72 what is the answer

Answers

Answer:

8

Step-by-step explanation:

[tex]-8n - 8 = -72\\-8n = -72 + 8\\-8n = -64\\n = 8[/tex]

Answer: 8

Step-by-step explanation:

Multiplying both sides by -1, we get:

8n + 8 = 72

8n = 72-8

8n = 64

n = 64/8 = 8.

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Mathematics Diagnostic Assessment
1
Todd forgot the first two numbers of his locker combination. The numbers can be any number 1 through 6. What is the
probability that he will guess the first number correctly and the second number incorrectly?
OA.
OB.
O C.
கான்
OD.
Reset
Submit
Submit

Answers

Answer: 16.67% for question 1

83.33% for question 2

Step-by-step explanation:

1/6 as a percent is 16.67% because the is only 1 correct number

5/6 as a percent is 83.33% because there is 5 wrong numbers

Answer:

Step-by-step explanation: 1/36

The table represents the function f(x)=3x-1.

Answers

Answer: y = 3x-1

Step-by-step explanation:

If the function y = xa − 31 is a linear function, what is the value of a?

Answers

try using desmos calculator it is a graphing calculator

Answer:

it should be 1

Step-by-step explanation:

Which is the solution of the quadratic equation (4y - 3)2 = 12?

Answers

Answer:

(4y - 3)2 = 72?y3 +/Z and yy=3-6/243+62y=and y=-3 – 6/2440y=9/… ... 12 POINTS!! 2. (2, 0) and (0, 3) The equation for these ordered pairs is ...

1 answer

Step-by-step explanation:

What is the degree of g(x) =5x +6x^7 - 8x^3

Answers

The degree of the polynomial is 7 as the highest power in its terms is 7.

So, the correct option is A.

What is the degree of a polynomial?

The degree of a polynomial is the highest power that its terms pertain (for multi-variables, the power of term is the addition of the power of variables in that term).

Thus, in

[tex]g(x) =5x +6x^7 - 8x^3[/tex]

Hence, the degree of the polynomial is 7 as the highest power in its terms is 7.

(power and exponent are the same thing)

So, the correct option is A.

Learn more about polynomials here:

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is 4/10 greater than 14/35?

Answers

Answer:

Nope it is equal to

Step-by-step explanation:

if you simplify both of them 4/10=2/5 and 14/35=2/5

The total cost of 5 doughnuts and 6 cookies at a bakery is $11.95.The cost of each cookie is $0.95.Select the equation and its solution that can be used to determine the cost,x, of 1 doughnut.

Answers

The equation for the situation is [tex]5x+6(0.95)=11.95[/tex]

The solution to the equation is [tex]x=1.25[/tex]

First, you must set up the equation.

[tex]5x+6(0.95)=11.95[/tex]

Then, you must simplify the terms.

[tex]5x+5.7=11.95[/tex]

Next, subtract 5.7 on both sides.

[tex]5x=6.25[/tex]

Finally, divide 5 on both sides

[tex]x=1.25[/tex]

The cost of each doughnut is $1.2 and the equation is 5(0.95) + 6x = 11.95 if the total cost of 5 doughnuts and 6 cookies at a bakery is $11.95.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

The total cost of 5 doughnuts and 6 cookies at a bakery is $11.95.The cost of each cookie is $0.95.

The cost of 1 doughnut is x.

Total cost = $11.95

Total cost = 5(0.95) + 6x

11.95 = 5(0.95) + 6x

Or

5(0.95) + 6x = 11.95

After solving

x = $1.2

Thus, the cost of each doughnut is $1.2 and the equation is 5(0.95) + 6x = 11.95 if the total cost of 5 doughnuts and 6 cookies at a bakery is $11.95.

The options are:

6(0.95) + 5x = 11.95

5(0.95) - 6x = 11.95

5(0.95) + 6x = 11.95

5(0.95) + 6(11.95) = x

Learn more about the linear equation here:

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Write an equation with an exponent for 39mm=0.039

Answers

Answer:

An equation would be 39 divided by 10^3= 0.039

Step-by-step explanation:

Hope this helps!! ;-)

Which of the following numbers is a factor of 55?

Choose 1 answer:

Choose 1 answer:


(Choice A)

A

6


(Choice B)

B

3


(Choice C)

C

5


(Choice D)

D

7

Answers

Answer:

Choice C: 5

Step-by-step explanation:

55 is a composite number. 55 = 1 x 55 or 5 x 11. Factors of 55: 1, 5, 11, 55. Prime factorization: 55 = 5 x 11 it should be 5 if 11 isn't an option to

The points on a section of an exam is given by the function fx, where x is the number of questions answered correctly in that section. If f12=18, then a test-taker receives 18 points for answering _____ questions in the section correctly.

Answers

Answer: 12

Step-by-step explanation:

Given the function :

f(x),

x is defined as the number of questions answered correctly in a certain section.

Thus given that the function; f(12) = 18 means a test-taker receives 18 points for answering x questions in the section correctly

The number of correct questions will be :

Compare ;

f(x) = f(12)

Hence ; x = 12 = number of questions answered correctly in the section.

Given BCM=ZYR find each missing measure

Answers

Answer:

Step-by-step explanation:

Since, ΔBCM ≅ ΔZYR,

∠B ≅ ∠Z

∠C ≅ ∠Y

∠M ≅ ∠R

And BC ≅ ZY

CM ≅ YR

BM ≅ ZR

a). CM = YR = 11 m

b). BM = RZ = 15 m

c). YZ = BC = 8 m

d). m∠B = m∠Z = 45°

e). m∠M = 180° - [m(∠B) + m(∠C)]

             = 180° - (45 + 103)°

             = 180° - 148°

             = 32°

f). m∠Y = m∠C = 103°

The side lengths are as follows: YZ is 8, BM is 15, and CM is 11. and angle B has a measure of 45 degrees. The angle C is 103 and the angle m is 32.

What is a Congruent triangle?

Congruent triangles are two triangles that are the same size and shape. They remain congruent if we flip, turn, or rotate one of two congruent triangles. If the sides of two triangles are the same, they must have the same angles and thus be congruent.

Congruent triangles have equal corresponding sides and angles

The measure of the side lengths are: YZ = 8,BM = 15 and CM = 11

The measure of the angles is angle B = 45. angle C = 103 and  angle m  =32

The given parameter is:

Tri angle BCM = Triangle ZYR

This means that triangles BCM and ZYR are congruent.

So, we have the following congruent sides

YZ = CB

BM = ZR

CM = YR

so, the measure of the side lengths are:

YZ = 8

BM = 15

CM = 11

Also, we have the following congruent angles

angle B = angle Z

angle C =  angle Y

angle M =  angle R

the measure of the angles are

angle B = 45

angle Y = 103

The measure of angle M is calculated using:

∠M + ∠C + ∠B = 180

∠M = 32

Therefore, The measure of the side lengths is: YZ is 8, BM is 15 and CM is 11. and The measure of the angles is angle B is 45. angle C is 103 and angle m  is 32.

Read more about congruent triangles here:

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2(x+9)-4=68 pls help me 60 points!!!!

Answers

Answer:

x=27

Step-by-step explanation:

2x+18-4=68

2x+18=72

2x=54

x=27

I hope this helps even the slightest!

Please mark brainliest!

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