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
Alex73 [517]
3 years ago
11

Unghiurile ∢AOB, ∢BOC, ∢COD și ∢DOA sunt unghiuri în jurul punctului O, ∢AOB = 80°, ∢BOC = 140° și CO ⊥ OD.

Mathematics
1 answer:
Sonbull [250]3 years ago
3 0

Answer:

a) ∡AOC = 140 °

∡AOD = 40 °

b) ∡AOB = ∡BOC + ∡AOC și ∡BOC = ∡AOC (unghiuri formate din segmentul OC) prin urmare, segmentul OC bisectează ∡AOB

Step-by-step explanation:

a) Calculați măsurile unghiurilor ∢AOC și ∢AOD.

b) Arătați că jumătatea liniei opuse jumătății liniei OC este bisectoarea unghiului ∢AOB

a) Parametrii dați sunt;

∡AOC. ∡BOC. ∡COD și ∡DOA sunt unghiuri în jurul circumferinței unui cerc

∡AOB = 80 ° și ∡BOC = 140 °, segmentul CO este perpendicular pe segmentul DO

Prin urmare, avem;

∡AOB + ∡BOC + ∡AOC = 360 ° (Suma unghiurilor într-un punct = 360 °)

∴ ∡AOC = 360 ° - (∡AOB + ∡BOC) = 360 ° - (80 ° + 140 °) = 140 °

  ∡AOC = 140 °

∡BOC + ∡BOD = 180 ° (Suma unghiurilor unui triunghi = 180 °)

∡BOD = 180 ° - ∡BOC = 180 ° - 140 ° = 40 °

∡BOD = 40 °

∡ BOD + ∡AOD = ∡AOB

∡AOD = ∡AOB - ∡BOD = 80 ° - 40 ° = 40 °

∡AOD = 40 °

b) Deoarece avem ∡AOB = ∡BOC + ∡AOC și ∡BOC = ∡AOC = 140 °, avem;

∡AOB = 140 ° + 140 ° = 280 ° = 2 × ∡BOC = 2 × ∡AOC

Prin urmare, segmentul OC bisectează ∡AOB

You might be interested in
Which numbers are​ rational?
QveST [7]

Answer:

0 is a rational number.

-7 is a rational number.

10 is a rational number.

Step-by-step explanation:

Not sure about the rest but these numbers I know for a fact are 100% rational.

3 0
3 years ago
Which graph represents the inequality?
Alecsey [184]

it will be a hope that helps what

7 0
2 years ago
6.<br> Domain:<br> Range:<br> can someone please help me
ra1l [238]

Answer:

Domain: the set of possible values of the independent variable or variables of a function.

Range: the set of values that a given function can take as its argument varies.

Step-by-step explanation:

Hopefully this helps ik it was confusing to me too in pre-algebra when i was in 8th grade

have a great day

4 0
3 years ago
Compare.<br> 1 and a half hours<br><br> 100 minutes
xz_007 [3.2K]

Answer:

1 and a half hours < 100 mins

Step-by-step explanation:

1 and a half hours is equal to :

1 hour = 60 mins

half hour = 30 mins

60 + 30 = 90 mins

90 min is less than 100 mins

Therefore / ∴ :

1 and a half hours < 100 mins

6 0
1 year ago
Read 2 more answers
There are 9 socks in a bag. 1 of those socks is blue.
inessss [21]
1/9 or 11/100

Hope that helps
4 0
3 years ago
Other questions:
  • How any ounces is in a quart ?
    6·2 answers
  • Luna buys a shirt that costs $15.65. She gives the cashier $20 and receives $3.25 in change. What is the percent error in the am
    9·1 answer
  • How do you solve 9n+4=5n+18 and what is the answer
    7·2 answers
  • What is the probability of first drawing a red card, then a face card, and then a black card? Do not round your intermediate com
    7·1 answer
  • If triangle EFG is shifted five units to the left, what will be the new coordinates of vertex F?
    9·1 answer
  • Middle school basketball court is 74 ft long 42ft wide what is perimeter in feet and meters
    12·1 answer
  • Assume that adults have IQ scores that are normally distributed with a mean of mu equals 100 and a standard deviation sigma equa
    11·2 answers
  • Choose all selections that represent the domain of the relation, {(2,5)(3, 6)(2,8)}?
    15·1 answer
  • In the diagram below, DE is parallel to XY. What is the value of y
    13·1 answer
  • X^2-15x+50 factor trinomials pls help me with this i need help thank you
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!