Answer:
∠C = 62°
Step-by-step explanation:
GIVEN :-
TO FIND :-
FACTS TO KNOW BEFORE SOLVING :-
PROCEDURE :-
As ABCD is a cyclic quadrilateral ,
∠B + ∠D = 180°
Putting the values of x gives :-
∠A = (2×40 + 38)° = 118°
∠B = (3×40)° = 120°
∠D = (40 + 20)° = 60°
Also,
∠A + ∠C = 180°
⇒ ∠C = 180° - 118° = 62°
which equation represents the general form of a circle with a center at (-2 -3) and a diameter of 8 units ?
• x²+y²+4x+6y-51=0
•x²+y²-4x-6y-51=0
•x²+y²+4x+6y-3=0
•x²+y²-4x-6y-3=0
Answer:
it’s the 3rd one:)
Step-by-step explanation:
Answer:
Substitute them into the circle equation: (x - h)² + (y - k)² = r²
(x - (-2))² + (y - (-3))² = 4²
(x + 2)² + (y + 3)² = 4²
Now expand the equation:
(x + 2)² + (y + 3)² = 4²
(x + 2)(x + 2) + (y + 3)(y + 3) = 16
(x² + 2x + 2x + 4) + (y² + 3y + 3y + 9) = 16
x² + 4x + 4 + y² + 6y + 9 = 16
x² + y² + 4x + 6y + 13 - 16 = 0
x² + y² + 4x + 6y - 3 = 0
Enter your answer as a fraction, in simplest form, in the box.
Answer:
8/9
Step-by-step explanation:
the probability of spinning 3 is 1/9 so just subtract with 1 or 9/9