Figure ABCD is similar to figure MNKL. Write a proportion that contains BC and KL.
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Answer:
Step-by-step explanation:
Given that from a well shuffled set of playing cards (52 in number) a card is drawn and without replacing it, next card is drawn.
A - the first card is 4
B - second card is ace
We have to find probability for
P(A) = no of 4s in the deck/total cards =
After this first drawn if 4 is drawn, we have remaining 51 cards with 4 aces in it
P(B) = no of Aces in 51 cards/51 =
Hence
(Here we see that A and B are independent once we adjust the number of cards. Also for both we multiply the probabilities)
Consider the coordinate plane:
1. The origin is the point where Sharon and Jacob started - (0,0).
2. North - positive y-direction, south - negetive y-direction.
3. East - positive x-direction, west - negative x-direction.
Then,
- if Jacob walked 3 m north and then 4 m west, the point where he is now has coordinates (-4,3);
- if Sharon walked 5 m south and 12 m east, the point where she is now has coordinates (12,-5).
The distance between two points with coordinates and
can be calculated using formula
Therefore, the distance between Jacob and Sharon is