Select the correct answer from each drop-down menu.
Given: line AB ||line DC and DF_~BF
Prove: DFC _~BFA

Select The Correct Answer From Each Drop-down Menu.Given: Line AB ||line DC And DF_~BFProve: DFC _~BFA

Answers

Answer 1

Angles are formed when two or more lines intersect. Angles are majorly measured in degrees.

The required proof is as shown below:

Whenever a transversal passes through two parallel lines, angles are formed which have some similar properties.

             STATEMENTS                                           REASONS

1. AB ║DC                                                          Given.

2. < FDC ≅ < FBA                                              Alternate angle theorem.

3. <AFB  ≅ < DFC                                              Vertical opposite angle rule.

4. DF ≅ BF                                                         Given

5. ΔDFC  ≅ Δ BFA                                            Angle-Angle-Side property

For more clarifications on the properties of angles formed by a transversal, visit: https://brainly.com/question/14589220

#SPJ1


Related Questions

I need help please):

Answers

Answer:

7) x = 5

8) x = 10

Step-by-step explanation:

7) 2x-3=x+2

x=5

8) 4x=2x+20

2x=20

x=10

How do you solve this equation for x?

-3(x+4) = x - 4

Answers

Step-by-step explanation:

(x+4)-x=-4+3

X+4-x = -1

x-x = - 1-4

-x = - 5

If the FDIC has an insurance fund of $67.8 billion and must use 7.6% of it to cover several failed banks, approximately how much money is left in the fund?

Answers

Answer: D

Step-by-step explanation: correct on edg 2021

Find the midpoint of a and b when a has coordinates (-5,3) and b has coordinates (3,-1)

Answers

To find the x coordinate of the midpoint, add the x coordinates and divide by 2
(-5+3)/2 = -2/2 = -1
To find the y coordinate of the midpoint, add the y coordinates and divide by 2
(3+-1)/2 = 2/2 = 1
(-1,1)

Answer:

(-1,1)

Step-by-step explanation:

To find the x coordinate of the midpoint, add the x coordinates and divide by 2

(-5+3)/2 = -2/2 = -1

To find the y coordinate of the midpoint, add the y coordinates and divide by 2

(3+-1)/2 = 2/2 = 1

(-1,1)

make ,me as brainlist


Evaluate y + (x2 + y) when x = 0.4, y = 3, z =

Answers

Answer:

6.16 is the answer

Step-by-step explanation:

3 + (.4^2 + 3)

3 + 3.16

6.16

Please help due today

Answers

Answer:

14 miles

Step-by-step explanation:

3 + 4 + 3 + 4 = 14

5xy4 25x2y 5x2y2 What is the greatest common factor (GCF) of the monomials shown above?

Answers

Answer:

5xy

Step-by-step explanation:

I'm going out on a limb and assuming exponents.

[tex]5xy^{2} \\25x^{2}y \\5x^{2} y^{2}[/tex]

We can note that 5 is a common factor for the coefficients. All the terms share at least one x. All the terms share all least one y. So the GCF of these monomials is 5xy.

(5x^2-4X + 7) - (4x + 2)

Answers

5x’2-4x+7-4x-2
We add the two 4
5x’2-8x+7-2
5x’2-8x+5
The answer is
5x’2 -8x +5

En que bote se hizo más Rosa más intenso en el de pintura roja y blanca en el cada color​

Answers

A que te refieres con la pregunta?

A 30 ft water slide forms a 45 degree angle with their surface of the water. How high is the top of the slide bouncer nearest whole number

Answers

Answer:

21ft

Step-by-step explanation:

sin(45°)=height/30

height=30sin(45°)

h=30×√2/2=15√2≈21.213(21ft to the nearest whole)

The height should be 21 ft.

Given that,

A 30 ft water slide forms a 45 degree angle with their surface of the water.

Based on the above information, the calculation is as follows:

[tex]sin(45^{\circ})=height\div 30\\\\height =30sin(45^{\circ})\\=30\times \sqrt 2\div 2\\\\=15\sqrt 2[/tex]

≈21.213

= 21 ft

Learn more: brainly.com/question/17429689

can anyone help with this???

Answers

Answer:

X= 13

A=104

C=26

Step-by-step explanation:

the equation is 8x+2x+50=180

10x=130

x=13

2(1/2z+ 4)- 0.5

what could this be re written as?

a. z-3.5
b. z+7.5
c. z+8.5
d. 2z+3.5

Answers

B
First simplify whatever is in the parenthesis, do 2 times 1/2 and 2*8, which equates to z+8-0.5. Simplify further by subtracting 0.5 from 8 and you get z+7.5

Answer:

B. z+7.5 is the answer I chose

evaluate the following expression 10x(-9+(-6))

Answers

Answer:

-150x

Step-by-step explanation:

HELP ME IT WOULD MEAN A LOT​

Answers

Answer:

123

Step-by-step explanation:

72+51=123

123 - 72 = 51

Answer:

72+51=123

123 - 72 = 51

Step-by-step explanation:

Spencer had a sack filled with 65 9/10 pounds of cement. He removed some of the cement from the sack and put it into three buckets. He put 8 1/10 pounds of cement in each bucket. Spencer says he has about 42 pounds of cement left in the sack. Is his statement reasonable?

Answers

Answer:

No the statement isnt reasonable

Step-by-step explanation:

You guessed the height of the building to be 23 feet, but it was actually 35 feet. What was your percent error? Round to the nearest WHOLE percent
please round to WHOLE

Answers

The percent error is 34.28 %.
Hope this helps! Be safe out there.

Answer:

34%

Step-by-step explanation:

35 - 23 = 12, so the guess is off by 12/35.

To find the percentage, divide 12 by 35, which is approximately 34%.

15. Which of the following systems represent the graph shown?

A) 2x + 3y < 6
-x + y > -4

B) 2x + 3y _> 6
-x + y _> -4

C) x + y >_ 4
2x - 3y <_ 6

D) x + y > 4
2x - 3y < 6

Answers

A) it my lucky letter you got this


A student answered 40 problems on a test correctly and received a grade of 80%. How many problems were on the test, if all the problems
were worth the same number of points?

Answers

Answer:

Step-by-step explanation:

80x/100 = 40

80x = 4000

x= 50 problems

Answer:

50 problems

Step-by-step explanation:

40÷2 =20 = 40% 20÷2 =10 = 20%

if 10 =20% then 10 × 5 = 50 or 80%

(overthinking)

Mark's father was putting in a new kitchen floor. The dimensions were 8 feet by 12 feet. If each tile was 1 square foot,
how many tiles dld he need?
87tiles 96tiles 78tiles

Answers

Answer:

96

Step-by-step explanation:

Total area is 12*8=96 square feet

Each tile is 1 square foot

The required tiles are therefore 96/1=96

Do the ratios 20/10 and 4/2 form a proportion? Yes or no

Answers

Answer:yes

Step-by-step explanation:they are equal

I NEED HELP AGAIN 4.0

Answers

Answer:

Move the dot at the axis one to the left and one down move the other dot to (7,0)

Step-by-step explanation:

Find the dot at the origin (0,0)

Move it to (-1,-1) which is one unit to the left and one unit down.

Select other dot and place it at (7,0)

Click submit

What is 5n = 185 what’s the n=__?
249 = 3y y=__?
-6w = 354 w=__?

Answers

1. n = 37

isolate n by dividing both sides by 5

2. y = 83

isolate y by dividing both sides by 3

3. w = -118

isolate w by dividing both sides by -6

In Geometry, which kind of reasoning is used in proving theorems? Inductive or Deductive Reasoning? Why?

Answers

Answer:  

Inductive

Step-by-step explanation:

Because our conclusion is based on facts, the conclusions reached by deductive reasoning are correct and valid.

Two parallel lines are cut by a transversa

Answers

What is the question?

On a map the distance between Juneau and Fairbanks is 5 inches. The approximate distance is 625 miles. The distance between Denver and Fairbanks is 19.5 inches on the same map. What is the approximate distance from Denver to Fairbanks to the nearest mile?

Answers

Answer:

The answer for this question is 2,437.5 or rounded 2,438.

Step-by-step explanation:

5 goes into 19.5, 3.9 times to get that take 19.5÷5 to get 3.9. Then take 625×3.9 to get the total of 2,437.5 miles for your answer.

Answer:

Step-by-step explanation:

jhghgjhjgjjhgghghghgbhbjhbhvgjhgygyguygygyugglygygluyglygyggylgyugyygygygygygugyggyghjghgkygkhghgjkghhgghgghgggghghhghghghghghhgghghghghghghghgghghghghjhgjggjghghjgggghhhghggjkgkjghjjghkghjkggkghjggkhghgkhghkjghjghghjkgjhkgjhhjghgkhghgkjghjgjkhhjhhghgkjgghjj.

Other option
B: 74.9
C: 15.1
D: 15.7

Answers

Step-by-step explanation:

cosine of B = adjacent/hypot

to find hypotenuse use a^2+b^2 = c^2

which is 5 (it's a 3,4,5 triangle so it's easy)

Cosine B= 4/5

PLEASE HELP I WILL GIVE BRAINALIST!!!!

AB contains points (4, 2) and (−1, −8). What is the equation of the line parallel to AB that contains point (0, 5)?

Answers

9514 1404 393

Answer:

  y = 2x +5

Step-by-step explanation:

We can use the slope formula to find the slope of AB, which is the same as the slope of the parallel line. Then, we can use the point-slope equation for a line to find the desired equation.

  m = (y2 -y1)/(x2 -x1)

  m = (-8 -2)/(-1 -4) = -10/-5 = 2

__

  y -y1 = m(x -x1) . .  point-slope form of equation for a line

  y -5 = 2(x -0) . . . . fill in m=2, (x1, y1) = (0, 5)

  y = 2x +5 . . . . . . . rearrange to slope-intercept form

Guys help please I need this done in like 5-10 mins I will mark u brainliest please

Answers

Answer:

HI

Step-by-step explanation:

U got this (:

Answer:

1/4

Step-by-step explanation:

rise=y        it takes him 4 minutes to run 1 km   so rise over run would be  1//4

run=x

and him running 1 minute is half a meter

or do you need slope fomula

this is not the clearest photo so it might be wrong but i hope this clears some up please mark brainlest

m-3/18=11/18 What is m??

Answers

Answer:

I think m is a variable

Step-by-step explanation:

because a variable is a letter representing a unknown amount

Step-by-step explanation:

hope this will help you.

A running race follows a triangular course. The first leg of the race is in a straight line, covering 4.4km. Runners turn an angle of 79 deg for the second leg, and then turn again 77 deg to head back to the start line to finish the race. What is the length of the entire race, to the nearest tenth of a kilometer?

Answers

Answer:

The length of the entire race is 9,5km

Step-by-step explanation:

Required

Determine the length of the race.

To aid my explanation, I have added an attachment which shows the triangular course.

From the attachment, we have:

A as the starting point and the following measurement;

[tex]\angle B = 11^{\circ[/tex]

[tex]\angle C = 13^{\circ} + 79^{\circ} = 92^{\circ[/tex]

[tex]\angle A + \angle B + \angle C = 180^{\circ}[/tex]

[tex]\angle A = 180^{\circ} - (\angle B + \angle C )[/tex]

[tex]\angle A = 180^{\circ} - (11^{\circ}+92^{\circ})[/tex]

[tex]\angle A = 77^{\circ}[/tex]

[tex]\angle B = 11^{\circ[/tex]

[tex]\angle C = 92^{\circ[/tex]

[tex]c = 4.4km[/tex]

Apply sine rule

[tex]\frac{a}{sin\ A} = \frac{b}{sin\ B} = \frac{c}{sin\ C}[/tex]

[tex]\frac{a}{sin\ 77^{\circ}} = \frac{b}{sin\ 11^{\circ}} = \frac{4.4}{sin\ 92^{\circ}}[/tex]

[tex]\frac{a}{sin\ 77^{\circ}} = \frac{b}{sin\ 11^{\circ}} = \frac{4.4}{0.9994}[/tex]

[tex]\frac{a}{sin\ 77^{\circ}} = \frac{b}{sin\ 11^{\circ}} = 4.403[/tex]

Split to solve for a and b

[tex]\frac{a}{sin\ 77^{\circ}} =4.403[/tex]

[tex]\frac{b}{sin\ 11^{\circ}} = 4.403[/tex]

Make a the subject

[tex]\frac{a}{sin\ 77^{\circ}} =4.403[/tex]

[tex]a = 4.403 * sin(77^{\circ})[/tex]

[tex]a = 4.403 * 0.9744[/tex]

[tex]a = 4.3km[/tex]

Make b the subject

[tex]\frac{b}{sin\ 11^{\circ}} = 4.403[/tex]

[tex]b = 4.403 * sin(11^{\circ})[/tex]

[tex]b = 4.403 * 0.1908[/tex]

[tex]b = 0.8km[/tex]

The length of the race is:

[tex]Length = a + b + c[/tex]

[tex]Length = 4.3km + 0.8km + 4.4km[/tex]

[tex]Length = 9.5km[/tex]

Other Questions
HELP ME PLEASE!!!! 12C6. 13C6. 14C6 Indicate the oxidation number of phosphorus, iodine, nitrogen, tellurium, and sillicon in the following ions. Remember that the sum of the oxidation numbers for an ion must equal the charge of the ion. a. PO43- b. PO33- c. HPO42- d. P3O103- e. IO3- f. IO2- g. IO- h. NH4+ i. NO2+ j. NO2- k. NO- l. NO3+ m. N2O22- n. TeO42- o. SiO22- can someone post the back of the paper on Quiz 3-1 Parallel Lines, Transversals, and Special Angle Pairs Unscramble the Spanish speaking countries Ponyboy and Dally are shocked when Johnny orders Dally to leave Cherry alone. What motivates Johnny to do this? Why does Dally obey? how saving account fits with time horizon retirement? What is the title of the song from the following lyrics "you cut out a piece of me and now i bleed internally"? Directions: Choose whether each statement describes a credit union, commercial bank, or both by placing the corresponding letter in the blank 1 point each)ClassA. Credit UnionB. Commercial BankC. Both1. Anyone can open an account here2. Offers financial services3. Owned by their customers4. In business to make money5. Membership requirements to open an account What part of the self does Mead say is the unsocialized spontaneous self-interested component of personality and self-identity? Two scientists come to different conclusions about an experiment. What should be done to settle their disagreement?. How does the thermal energy of the liquid in both of the graduated cylinders differ. christine's rectangular bedroom has a perimeter of 44 feet. the llength of her bedroom is 2 more than the width. what are the dimensions of her room compare the end behavior of the functions g(x) = -3x^4 + 15x^3 - 12x^2 + 3x + 20 and h(x) = "-3x^4" - 16x - 1. Explain your reasoning. based on what you know about bureaucratic features, garrett believes margie is violating which of the following? Multiple Choicetotal quality management principlesquality controlimpersonality protocoldivision of laborevidence-based decision making Based on systems theory, the types of practices the coaching team runs is a(n) Multiple Choiceoutput.transformational process.input.operational contingency.feedback mechanism. One bag holds 11 cherries how many cherries are in 143 bags please help me out, 30 pts a myelinated axon conducts nerve impulses at a speed of 40 m/s . Scalar multiplication quiz What would happen if theres no capitalism Suppose that a is inversely proportional to b. Let a1,a2 be two nonzero values of a such that {a1}/{a2}={2}/{3}. Let the corresponding b values be b1,b2. If b1,b2 are nonzero, find the value of {b1}/{b2}