Point A(2, 5) is dilated to the point A’(6, 15). What is the scale factor?
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Answer: Segment GD is parallel to segment HC.
Step-by-step explanation:
In ΔAHC
AG=GH (given)...........1
As BD is the median of ΔABC bisecting AC at D
∴AD=DC.........2
⇒(from 1 and 2)
⇒segment GD is dividing the sides AH and AC in same ratio.
Therefore by the converse of Basic proportionality theorem,segment GD is parallel to segment HC.
Converse of basic probability theorem states that if a line divides any two sides of a triangle in the same ratio, then the line must be parallel to the third side.
First, we need the probability of picking an odd number.
There are 5 cards in total, and 3 odd cards (3, 5, and 7).
That means that the probability that we'll draw an odd card would be .
Then, we have 4 cards left, and 2 even cards (4 and 6), meaning that the probability that we draw an even card will be or
.
To find the probability that these would happen in consecutive draws, we just multiply the probabilities together.
or 0.3.
To convert this into a percentage, we multiply the decimal by 100.
.
So the probability of picking an odd number and then picking an even number is 30%.
Hope this helps!