1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Kazeer [188]
2 years ago
8

In the diagram below AFB is congruent to EFD if EFD = 5x + 6, DFC = 19x - 15, and EFC = 17x + 19, find AFE

Mathematics
1 answer:
yanalaym [24]2 years ago
7 0

The angle m∠AFE is 128 degrees.

<h3>How to find angles?</h3>

∠AFB ≅ ∠EFD

∠EFD = 5x + 6

m∠DFC = (19x - 15)°

m∠EFC = (17x + 19)°

m∠AFE = ?

m∠AFB + m ∠EFD + m∠AFE = 180

Therefore,

5x + 6 + 5x + 6 + m∠AFE = 180

5x + 5x + 6 + 6 + m∠AFE = 180

10x + 12 + m∠AFE = 180

10x + m∠AFE = 180 - 12

10x + m∠AFE  = 168

m∠AFE = 168 - 10x

m∠EFC =  m ∠EFD + m∠DFC

17x + 19 = 5x + 6 + 19x - 15

17x - 5x - 19x = 6 - 15 - 19

-7x = - 28

x = 28 / 7

x = 4

Therefore,

m∠AFE = 168 - 10x

m∠AFE = 168 - 10(4)

m∠AFE = 168 - 40

m∠AFE = 128°

Therefore, the angle m∠AFE = 128°

learn more on angles here: brainly.com/question/13212279

#SPJ1

You might be interested in
Hana is playing a virtual reality game in which she must toss a disc to land on the largest triangular section of the board. If
svetoff [14.1K]

Answer:

Her probability of success is 1/2

Step-by-step explanation:

Firstly, we have to calculate the area of the entire board

That would be the rectangle of the measure 50 cm by 40 cm

We have the area as the product of this two

That would be 50 * 40 = 2,000 cm^2

Now, the value calculated is the area of the entire possible landing area

Secondly, we need to get the area that counts as a success

that would be the area of the triangle that has a base of 50 cm and a height of 40 cm

The area of this is the product of the two divided by 2

we have this as ;

50 * 40 * 1/2 = 1,000 cm^2

So, her probability of success is simply the area of the triangle divided by the area of the rectangle

= 1000/2000 = 1/2

8 0
3 years ago
A student was given an assignment to determine the percentage of students that brought a bag lunch to school. The student chose
Scorpion4ik [409]

The answer is B. Cluster

5 0
4 years ago
Read 2 more answers
Write 18.4 as a fraction in lowest terms
Lapatulllka [165]

Answer:

Divide each side of 18/4 by 2 to get <u>9/2.</u>

5 0
3 years ago
Read 2 more answers
What is the least common multiple of 10 and 6
laila [671]
30 is the least common multiple
4 0
3 years ago
Read 2 more answers
The perimeter of a rectangular garden is 290 feet. If the width of the garden is 62 feet, what is its length?
olga2289 [7]

Answer:

83

Step-by-step explanation:

Remember that the perimeter of a rectangle is two times the width plus two times the length. In other words:

2W + 2L = P

We know that the perimeter is 290 and the width is 62. We can plug these into the equation and solve for L.

2(62) + 2L = 290

124 + 2L = 290

Subtract 124 from both sides.

2L = 166

Divide both sides by 2.

L = 83

So now we know that the length is 83 feet.

I hope you find my answer and explanation to be helpful. Happy studying.

5 0
3 years ago
Read 2 more answers
Other questions:
  • On tuesday, donovan earned $11 for $2 of babysitting. on saturday, he babysat for the same family and earned $38.50. how many ho
    11·1 answer
  • Can you please help me I don't understand
    15·1 answer
  • In the function y = 10.00x + 35, y represents the cost of cabin lodging per occupant and x represents the number of occupants. H
    13·2 answers
  • Please i need help it’s a timed test
    8·1 answer
  • Factor 3x^2-19x+20 ​
    13·1 answer
  • 20 votes for Erin per 100 votes
    14·1 answer
  • 4(1 - x) + 3x = - 2(x + 1)
    9·2 answers
  • A fair coin is flipped three times. Find the<br> probability of getting heads all three times.
    8·1 answer
  • A college radio station sponsors a contest once a week. One resident from a dormitory calls in and tries to answer ten questions
    5·1 answer
  • PLZ ANSWER QUESTION IN PICTURE
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!