Answer:
(
+
2
)
(
+
4
)
Step-by-step explanation:
Dependent one:Pulling two cards one after the other,from the same deck of cards
Independent one: Pulling one card,then replacing it and shuffling the deck,then pulling another card.You can also pull 2 cards from different decks
The figure is a right angle
Complementary = sum of 90 degrees
35 + 2x - 5 = 90
30 + 2x = 90
2x = 60
Solution: x = 30
Considering the circle of the given equation, and comparing to the standard equation of a circle, it is found that the given circle has radius is of
.
<h3>What is the equation of a circle?</h3>
The equation of a circle of center
and radius r is given by:
![(x - x_0)^2 + (y - y_0)^2 = r^2](https://tex.z-dn.net/?f=%28x%20-%20x_0%29%5E2%20%2B%20%28y%20-%20y_0%29%5E2%20%3D%20r%5E2)
In this problem, the equation is given by:
![\left(x + \frac{1}{5}\right)^2 + \left(y - \frac{2}{5}\right)^2 = \frac{1}{25}](https://tex.z-dn.net/?f=%5Cleft%28x%20%2B%20%5Cfrac%7B1%7D%7B5%7D%5Cright%29%5E2%20%2B%20%5Cleft%28y%20-%20%5Cfrac%7B2%7D%7B5%7D%5Cright%29%5E2%20%3D%20%5Cfrac%7B1%7D%7B25%7D)
Hence, the radius is found as follows.
![r^2 = \frac{1}{25}](https://tex.z-dn.net/?f=r%5E2%20%3D%20%5Cfrac%7B1%7D%7B25%7D)
![r = \sqrt{\frac{1}{25}}](https://tex.z-dn.net/?f=r%20%3D%20%5Csqrt%7B%5Cfrac%7B1%7D%7B25%7D%7D)
![r = \frac{1}{5}](https://tex.z-dn.net/?f=r%20%3D%20%5Cfrac%7B1%7D%7B5%7D)
More can be learned about the equation of a circle at brainly.com/question/24307696