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
inna [77]
1 year ago
11

ABC is a tangent to the circle below. O is the centre of the circle. Work out the size of angle 0. Give reasoning to justify you

r answer. C B A 0 22° O D Not drawn accurately​

Mathematics
1 answer:
Delvig [45]1 year ago
6 0

Answer:

Θ = 46°

Step-by-step explanation:

the angle between a tangent and a radius at the point of contact is 90° , so

∠ ABO = 90°

since OB = OD ( radii of circle ) then Δ BOD is isosceles and

∠ OBD = ∠ ODB = 22°

the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ AOB is an exterior angle of the triangle , then

∠ AOB = 22° + 22° = 44°

the sum of the 3 angles in Δ AOB = 180° , then

Θ + 44° + 90° = 180°

Θ + 134° = 180° ( subtract 134° from both sides )

Θ = 46°

You might be interested in
Rewrite the expression 14m-(5+8m) without parentheses
JulijaS [17]

Answer:

14m-5-8m

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Pls slove this asap, i rlly nneed it
butalik [34]

Answer:

Each box is 15.99

Step-by-step explanation:

Just the divide the total cost by 6

3 0
2 years ago
Read 2 more answers
F is between E G, EF=x-7, and EG=4x+3. Find FG
Zolol [24]
First draw F between E and G in a line.
FG = EG - EF
FG = 4x - 3 - x - 7
FG = 3x - 4
8 0
3 years ago
Degree of the polynomial (2x^3)-(x^2+11) .
WARRIOR [948]

First, distribute the terms.

1(2x^3) = 2x^3

-1(x^2+11) = -x^2-11

Standard form:

2x^3 - x^2 - 11

Since there is a 3, the degree of polynomial is cubic.

8 0
2 years ago
Write a letter to the congressman telling him why it is important to find new sources of energy.
bekas [8.4K]
The importance of finding new sources of energy,Are we are running out of resources on our planet. There are so many resources that are reusable. an ones that only have a certain amount of an we are running out of it. so if we find new sources of energy we could save our planet it an stop it from wasting an killing out planet
7 0
3 years ago
Read 2 more answers
Other questions:
  • on his first 5 tests, che averaged 92 points. on his next 3 tests hw scored 94, 85, and 85 points. what was his average for all
    12·1 answer
  • Mark's soup recipe makes 6 servings and uses 4 carrots and 2 potatoes. How many carrots and how many potatoes?
    5·1 answer
  • An object is launched from a platform. It's height (in meters), x seconds after the launch, is modeled by: h(x) = -5x^2 + 20x +
    7·2 answers
  • I need help with algebra​
    14·1 answer
  • The distance between two asteroids was calculated at 37,500,000,000 kilometers. What is this value expressed in scientific notat
    7·1 answer
  • 2.
    12·1 answer
  • How many solutions does the following equation have?<br><br> 0 = -6 | 9v - 7 |
    14·1 answer
  • There are 17 cows, 29 goats and 44 chickens on a farm. What fraction of the animals are goats?
    11·1 answer
  • Which one of the following is product of(-3n)and(4mn-5n)​
    10·1 answer
  • A textbook store sold a combined total of 467 math and physics textbooks in a week. The number of physics textbooks sold was 63
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!