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
Rainbow [258]
3 years ago
13

In the diagram shown of circle A, tangent MB is drawn along with chords BAC and BF . Secant MFE intersects BAC at G. It is known

that angle FBC = 52 and arc BE = 138 .
(a) Determine measure of arc BF
(b) Determine measure of angle M
(c) Determine measure of angle BGE
(d) Determine measure of angle MFB

Mathematics
1 answer:
mote1985 [20]3 years ago
3 0

Answer:

  • arc BF = 76°
  • ∠M = 31°
  • ∠BGE = 121°
  • ∠MFB = 111°

Step-by-step explanation:

(a) ∠FBM is the complement of ∠FBC, so is ...

  ∠FBM = 90° -52° = 38°

The measure of arc BF is twice this angle, so is ...

  arc BF = 2∠FBM = 2(38°)

  arc BF = 76°

__

(b) ∠M is half the difference between the measures of arcs BE and BF, so is ...

  ∠M = (1/2)(138° -76°) = 62°/2

  ∠M = 31°

__

(c) arc FC is the supplement to arc BF, so has measure ...

  arc FC = 180° -arc BF = 180° -76° = 104°

∠BGE is half the sum of arcs BE and FC, so is ...

  ∠BGE = (1/2)(arc BE +arc FC) = (138° +104°)/2

  ∠BGE = 121°

__

(d) ∠MFB is the remaining angle in ∆MFB, so has measure ...

  ∠MFB = 180° -∠M -∠FBM = 180° -31° -38°

  ∠MFB = 111°

You might be interested in
Solve for X. Geometry
Dennis_Churaev [7]

Answer:

x=12

Step-by-step explanation:

LM + MN = LN

2x-16 + x-9 = 11

Combine like terms

3x-25=11

Add 25 to each side

3x-25+25 = 11+25

3x = 36

Divide by 3

3x/3=36/3

x = 12

5 0
3 years ago
(-3,7) and (8,-6) found distance
irakobra [83]
Use the slope formula
3 0
3 years ago
Factor the equation in the picture​
Sati [7]

Answer:

D

Step-by-step explanation:

4 x^ + 36=0

4x( x + 9) =0 provd

8 0
3 years ago
An ancient culture had a solar calendar with a 365 day cycle and a religious calendar with a 292 day cycle. If the calendars bot
Scrat [10]
Make the Least common multiple (LCM) of 365 and 292:

365, 292 | 5
73, 292 | 2
73, 146 | 2
73, 73 | 73
1, 1 |\underline{5*2*2*73 = 1460}

Answer:
\underline{1460\:days\:will\:they\:next\:coincide}
3 0
3 years ago
Amarosa runs 3/4 mile everyday. How many miles does she run in 5 days?
Andre45 [30]

Answer:

3.75 or 3 3/4

Step-by-step explanation:

(3/4) times 5 equals 3.75

8 0
3 years ago
Other questions:
  • Write an equation of the line.
    15·1 answer
  • What can you conclude about any tangent line to a circle and the radius of the circle
    8·1 answer
  • How to simplify this equation 5/4+4(3/4-1/2)
    14·1 answer
  • X2 + 3x + 2<br> x2 + 2x
    5·1 answer
  • Please help ASAP I will mark brainlest
    9·1 answer
  • Describe how (2^3)(2^-4) can be simplified.
    12·2 answers
  • Triangles MNO and RST are shown.
    15·1 answer
  • PLEASE HELP!
    13·1 answer
  • What is the length of DE ?
    5·1 answer
  • 1.What is greater? - 7,500 pounds or 4 tons? 2.What is greater? - 1/2 ton(s) or 1,000 pounds? Please help! This is due in 9 minu
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!