1. Supplementary
2. Complementary
3. Adjacent angles
4. Vertically opposite angles
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Answer:
A and C
Step-by-step explanation:
Two events, A and B, are independent if the fact that A occurs does not affect the probability of B occurring.
Options B and D give events which are most likely to be dependent, because if a driver texts while driving affects the possibility that the driver can get into the accident and if a woman lives in Alaska affects she can have a heavy winter coat.
Options A and C are two sets of most likely independent events, because the girl's singing does not affect on her wish to become a lawyer and a man's hair doesn't depend on where his father lives.
Answer: The area of the shaded region is 27.74 centimeters squared
Step-by-step explanation: The diagram shows a two-in-one figure, a circle inscribed in a rectangle. The shaded region is the part of the rectangle not covered by the circle, hence we would have to subtract the area of the circle from that of the rectangle.
Area of Rectangle = L x W
Area of rectangle = 8 x 7
Area of rectangle = 56
Also,
Area of circle = Pi x r^2
Area of circle = 3.14 x 3^2
Area of circle = 3.14 x 9
Area of circle = 28.26
Area of shaded region is given as area of rectangle minus area of circle
Therefore, shaded region = 56 - 28.26
Area of shaded region = 27.74 centimeters squared
Its D. x = 2, y = -8
6*2 + (-8) = 12 - 8 = 4
Answer:
The polygons are similar.
Step-by-step explanation:
By definition, the corresponding sides and angles of similar polygons must be in some constant proportion.
Therefore, we can find the ratio between corresponding sides to see if that ratio is maintained.
The side marked 3 cm in the smaller figure corresponds with the side marked 3.75 cm in the larger figure. This proportion is 
.
The side marked 5 in the smaller figure corresponds with the side marked 6.25 cm in the larger figure. This proportion is 
.
If these polygons are similar, these proportions must be equal.
Checking, we see that these proportions are equal, and therefore the polygons are similar.
