Any quadrilateral which can be inscribed in a circle, is called a cyclic quadrilateral.
The main theorem about these quadrilaterals is the following:
In any cyclic quadrilateral, the sum of the measures of the opposite angles is 180°.
This means, m(∠S)+m(∠Q) =180°,
thus
(7x-2)+(5x+14)=180
12x+12=180
12x=168
x=168/12=14
Thus the measures of angles Q and S are respectively:
7x-2 = 7*14-2=96 (degrees) and
5x+14=5*14+14=6*14=84 (degrees)
Answer: D
Answer:
C is true as 2 pionts = a line
Step-by-step explanation:
I'm smartest in my class
Answer:
1 / 663
Step-by-step explanation:
First, let's find the total number of ways you can pick 2 cards from the deck. This is 52 * 51 = 2652 because there are 52 cards available for your first pick, and after you pick one, you'll have 51 left for your second pick.
There are 4 5's (one for every suite) and only 1 Queen of Hearts in a deck of cards. Therefore, the total number of successful outcomes will be 4 * 1 = 4.
The probability of picking a 5 and then a Queen of Hearts is 4 / 2652 =
1 / 663. Hope this helps!
Answer:
(3x-2)=1x (2x+6)=8x
Step-by-step explanation:
Step-by-step explanation:
(x+3)(x-5)
= x²-5x+3x-15 = x²-2x-15
But the given polynomial x³-15
So it is not the correct factorization.
Again, (x-3)(x+5)
= x²+2x-15
But the given polynomial x³-15
So it is not the correct factorization.
Again , (x+3)(x²-4x+5)
= x³-4x²+5x+3x²-12x+15
= x³-x²-7x+15
But the given polynomial x³-15
So it is not the correct factorization.
So , optionD is the correct answer
