Answer:
DB = 6
Step-by-step explanation:
See the attached figure to the question.
Since O is the center of the given circle, so AB and CD are diameters of the circle.
Hence, AO = CO = OD = OB = radius of the circle = 6
In Δ OAC, we have AO = OC. Hence, ∠ A = ∠C = 60° {Given that ∠OAC = 60°}
So, ∠ AOC will automatically become 60°. {As the sum of all the angles of a triangle is 180°}
So, Δ AOC is equilateral triangle.
Now, ∠ AOC = ∠ BOD = 60° {Since, they are vertically opposite angles}
Now, in Δ BOD, we have DO = OB. Hence, ∠ D = ∠ B = 60° {As the sum of all the angles of a triangle is 180°}
So, Δ BOD is also an equilateral triangle.
So, DB = BO = DO = 6. (Answer)
I think either might be a or b
Step-by-step explanation:
By Intersecting Chords Theorem,
9 * 4x = 8 * (4x + 2).
=> 36x = 32x + 16
=> 4x = 16, x = 4. (2)
19
Step-by-step explanation:
when we add 9 and 10 we will get sum 19
Answer:
x = -9
Step-by-step explanation:
6x - 27 = 3x - 54
solve for x
subtract 3x from each side then add 27 to each side. lastly you should get
3x=-27
Divide both sides by 3 to get -9