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
Aneli [31]
3 years ago
15

If arc EF = 151°, find mEDF.

Mathematics
1 answer:
user100 [1]3 years ago
4 0
There is a theorem that says that this angle (formed by thre points on the circumference) is half such arc called EF.

We can deduct it as well.

1) Call O the center of the circle. The central angle (EOF) = arc EF = 151°

2) Draw a chord from F to D and other chord from D to E.

You have constructed two triangles, FOD and DOE.

3) Triangle FOD has two sides equals (because both are the radius of the circcle). Then, this is an isosceles triangle and it has two angles of the same measure. Call this measure a.

4) Triangle DOE is also isosceles, for the same reason explained in the poiint 3. Call the measure of its equal angles b.

5) The sum of the angles of the two triangles is 180° + 180 ° = 360°.

This is a + a + b + b + (360 - central angle) = 360°

=> 2a + 2b = central angle
=> 2(a+b) = cantral angle
=> (a+b) = central angle / 2 = 151° / 2 =71.5°

(a+b) is the angle that you are looking for.

Then the answer is 71.5°

 
You might be interested in
I need help with this problem Geometry
FromTheMoon [43]
All of them??? or just one
4 0
3 years ago
Please help! i do not understand !
cluponka [151]

Answer:

C

Step-by-step explanation:

Know that two angles added equals 180

3 0
3 years ago
Read 2 more answers
Please help me 5-7g-9=
timofeeve [1]

Answer:

4 - 7g

Step-by-step explanation:

Combine like terms:  5 - 9 - 7g = -4 - 7g (answer)

6 0
2 years ago
I need help with 12 questions because idk how to do it and it's on metric units of liquid volume someone help quick I need to go
insens350 [35]
Where is the picture for this question
5 0
3 years ago
Solve: log2(x-4) = 4
defon

Answer:

D

Step-by-step explanation:

log₂(x-4) = 4

Undo the log by raising 2 to both sides:

2^(log₂(x-4)) = 2^4

x - 4 = 2^4

x - 4 = 16

x = 20

Answer D.

7 0
3 years ago
Read 2 more answers
Other questions:
  • You can model that you expect a 1.25% raise each year that you work for a certain company. If you currently make $40,000, how ma
    14·1 answer
  • Why is it important to consider using tools when you are solving a problem.
    5·1 answer
  • the drill must go 3/8 of the way through the sheet the sheet is 2.5 cm thick how deep should the drill be set
    9·1 answer
  • Which ordered pair is not a solution of the equation 3x+2y=-10? A: (-4,1) B: (-5,4) C:(2,-8)
    10·1 answer
  • 2(x + 2) – 4x = 12<br><br> Solve for x in the equation below.
    15·2 answers
  • Joey has $400 in a bank account that earns 8% in annual interest. Would this equation be Linear or Exponential?
    5·1 answer
  • A delivery person uses a service elevator to bring boxes of books up to an office. The delivery person weighs 140 lb and each bo
    6·1 answer
  • Find the next 3 terms of the geometric sequence 32,16,8,4
    5·1 answer
  • What is the perpendicular equation to y=-2/6x+1;(4/27,-2/3)
    8·1 answer
  • !!
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!