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
X^2 -9 divided by x+3
WINSTONCH [101]

Step-by-step explanation:

Hey, there!!

Given that,

\frac{ {x}^{2} - 9 }{x + 3}

{ we can write (a^2-4) as (a^2 - 2^2) also as (x^2- 9) can be written as (x^2 - 3^2)}.

\frac{ {x}^{2} -  {3}^{2}  }{x + 3}

We have a^2-b^2= (a+b) (a-b), so keep same formula on it.

\frac{(x + 3)(x - 3)}{(x + 3)}

(x+3) in numerator and denominator gets cancelled,

(x - 3)

Therefore, (x-3) is the final value.

<em><u>Hope</u></em><em><u> </u></em><em><u>it helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>

4 0
3 years ago
Help me please I WILL GIVE YOU BRAINLIEST PLEASEEE
Diano4ka-milaya [45]

Answer:

$42.50

Step-by-step explanation:

I'm pretty sure

5 0
2 years ago
If the interest rate on a savings account is 0.018%, approximately how much money do you need to keep in this account for 1 year
krok68 [10]
$55,555 would be the answer
5 0
3 years ago
Please I needddd helppp is it correct or do I need to change something
disa [49]
Your correct they are in the right spots
3 0
3 years ago
Read 2 more answers
Use the graph to determine the input value for
patriot [66]

Answer: Its C on edg x= 1.5;)

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Other questions:
  • HELPPP PLEASEEEEEEEEE
    8·1 answer
  • What is the GCF of 44 and 110?
    11·1 answer
  • Find a vector of magnitude 3 in the direction of v = 10i - 24k. The vector is Oi-Oj+k (Simplify your answer. Use integers or fra
    14·1 answer
  • Convert 300 grams into kilograms
    9·2 answers
  • Please help to solve this problem<br>factorize:<br>(1 - a^2) (1 - b^2) + 4ab​
    14·1 answer
  • Turn the sentence into an expression please
    5·1 answer
  • Write the equation of the line parallel to y=2x+7 and contains the points (6,-1)
    11·1 answer
  • PLEASE HELP THIS IS DUE TODAYYYY
    14·1 answer
  • a student Miss 10 problems on an English test and received a grade of 44%. If all the problems were of equal value, how many pro
    7·1 answer
  • THIS IS MY LAST QUESTION PLEASE HELP ME ILL LOVE U FORVER.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!