Answer:
Step-by-step explanation:
Given that your friend tossed a fair coin when you weren’t around.
Let A be the event that she said the outcome is head
B1 = Event she lied and B2 = Event she did not lie

P(AB1) = 
P(AB2) = 
Required probability = P(B1/A)=
If we have 2 dices rolling, we have all 6x6=36 different ways.
But for the sum of the two being 4, we have (1;3), (3;1) and (2;2), only 3 ways.
And we calculate the probability : 3:36= 1/12
Have fun
Answer:
the SSS similarity theorem
Step-by-step explanation:
The triangles are not indicated as being right triangles (even though we know they are), so we cannot use the HL theorem.
The ratios of corresponding sides are the same, so the applicable theorem is ...
the SSS similarity theorem
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3/(3+6) = 4/(4+8) = 5/15 = 1/3 . . . the ratio of shorter sides to corresponding longer sides.
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<em>Additional comment</em>
You recognize the smaller triangle as a 3-4-5 right triangle, and notice that the larger triangle is 3 times that size. If angle C were marked as the right angle it is, then the HL similarity theorem could also be used.
The radius is 3.27 cm, because I used the formula in reverse.