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
nika2105 [10]
2 years ago
11

BC and DE are tangents to this circle. Work out the size of angle 0. Give reasons for your answer. A 52° B O D 27° E 0 C Not dra

wn accurately BC and DE are tangents to this circle . Work out the size of angle 0 . Give reasons for your answer . A 52 ° B O D 27 ° E 0 C Not drawn accurately​

Mathematics
1 answer:
matrenka [14]2 years ago
5 0

Answer:

Θ = 39°

Step-by-step explanation:

OA = OB ( radii of the circle ) , then

Δ AOB is isosceles with base angles congruent , that is

∠ ABO = ∠ BAO = 52°

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

∠ DOB is an exterior angle of the triangle , so

∠ DOB = ∠ ABO + ∠ BAO = 52° + 52° = 114°

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

∠ OBC = ∠ ODE = 90°

the sum of the 4 interior angles of quadrilateral OBCD = 360°

∠ OBC + ∠ DOB + ∠ ODC + ∠ BCD = 360°

90° + 114° + (90 + 27)° + Θ = 360°

90° + 114° + 117° + Θ = 360°

321° + Θ = 360° ( subtract 321° from both sides )

Θ = 39°

You might be interested in
The coordinate plane below shows the locations of three buildings and the school in a town
r-ruslan [8.4K]

Answer:

Post Office

Step-by-step explanation:

8 0
3 years ago
What is the relationship between DE and FG ? Select all that apply.
marysya [2.9K]

Could you add more information like the picture of the figure where these lines are from?

3 0
3 years ago
Read 2 more answers
What is the solution to the trigonometric inequality sin(x) > cos(x) over the interval 0<= x <= 2pi radians?
Rainbow [258]

Answer:

C)

Step-by-step explanation:

got it right on edge :)

7 0
3 years ago
Please answer with explanation
nalin [4]

Answer:

(a)- 2 [ ( - \frac { 1 } { 4 } ) - 12 ( - 1 ) ^ { 2 } ] - 5 [ 24 + 2 ( - 12 ) ] ^ { 2 }−2[(−

4

1

)−12(−1)

2

]−5[24+2(−12)]

2

Do the arithmetic.

Calculate -1−1 to the power of 22 and get 11.

-2\left(-\frac{1}{4}-12\right)-5\left(24+2\left(-12\right)\right)^{2}−2(−

4

1

−12)−5(24+2(−12))

2

Subtract one term from another.

Subtract 1212 from -\frac{1}{4}−

4

1

to get -\frac{49}{4}−

4

49

.

-2\left(-\frac{49}{4}\right)-5\left(24+2\left(-12\right)\right)^{2}−2(−

4

49

)−5(24+2(−12))

2

Multiply two factors together.

Multiply -2−2 and -\frac{49}{4}−

4

49

to get \frac{49}{2}

2

49

.

\frac{49}{2}-5\left(24+2\left(-12\right)\right)^{2}

2

49

−5(24+2(−12))

2

Multiply two factors together.

Multiply 22 and -12−12 to get -24−24.

\frac{49}{2}-5\left(24-24\right)^{2}

2

49

−5(24−24)

2

Subtract one term from another.

Subtract 2424 from 2424 to get 00.

\frac{49}{2}-5\times 0^{2}

2

49

−5×0

2

Multiply two factors together.

Multiply 55 and 00 to get 00.

\frac{49}{2}-0

2

49

−0

Add two terms together.

Subtract 00 from \frac{49}{2}

2

49

to get \frac{49}{2}

2

49

.

\frac{49}{2}

2

49

2

49

=24.5

(b)−a

2

b

2

−3a

3

b

2

a=−

3

1

b=−1

Step-by-step explanation:

Hope it helps u

FOLLOW MY ACCOUNT PLS PLS

3 0
3 years ago
Explain why you can always use synethic division for dividing polynomials? (Will makr brainest!)
Oksana_A [137]

Answer:

somebody has answered this question on brainly

Step-by-step explanation:

brainly.com/question/2368242

brainly.com/question/12731430

3 0
3 years ago
Other questions:
  • The radius of the circle is ✓2. The distance from the center to the chord is 1. If the measure of AB is 90°, the area of the sha
    15·1 answer
  • Find the directional derivative of f at the given point in the direction indicated by the angle θ. f(x, y) = y cos(xy), (0, 1),
    8·1 answer
  • Find the value of Y [Inscribed Angle]
    14·2 answers
  • A taxi charges 75 cents initial fee plus 11 cents each kilometer. Find the cost of a 280 km trip. $31.55
    5·2 answers
  • Solve for the variable. Show all work. |6x| - 8 = -8
    11·1 answer
  • HELP! 20 POINTS Where is point b on the numberline?
    5·2 answers
  • A donkey weighs 570 pounds and an elephant weighs 5 tons. How much more does the elephant weigh?
    7·1 answer
  • What is the answer for the second one?<br> 7% is the same as ??
    9·1 answer
  • Find the circumference of a circle with a radius of 5 cm. Round your
    5·1 answer
  • A polynomial function has a zero at x = 1 with a multiplicity of 3 and a zero at x = -2 with a multiplicity of 1. The y – interc
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!