An experiment involves rolling a die and drawing a card from a standard deck of 52 cards.

What is the probability that the die lands on 4 and the card is a heart?

the probability of the die landing on 4 is 4/6 or 1/3 and the probability of the card drawn from the deck is a heart is 13/52 or 1/4.

given that triangle abc is transformed two times to get triangle

a"b"c"

first abc is transformed in to a'b'c' as follows:

the coordinates of a are (1,-1) and transformed into a'(-1,1)

similarly b (4,-2) became b'(-4,2) and

c(7,-2) became c'(-7,2)

i.e. (x,y) becomes (-x,-y)

this is nothing but reflection about a point here origin.

thus first transformation is reflection on the origin.

next is exactly shifting 3 units down

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