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a 2/3
b 1/6
c 2/9
d 1/3

Explanation:

There are 6 names in either circle A only, circle B only, or both circles (overlapped region)

The probability of getting someone in one of those circles, or both, is 6/9 = 2/3.

the sum of the lengths of any two sides of a triangle is greater than the length of the third side. if you take the three sides of a triangle and add them in pairs, the sum is greater than (not equal to) the third side. if that is not true, then it is not possible to construct a triangle with the given side lengths.

step-by-step explanation:

δabc ≅ δdcb by sas because

db ≅ ac . . given (side)

bc ≅ bc . . reflexive property (side)

∠dbc ≅ ∠ acb . . alternate interior angles where transversal bc crosses parallel lines bd and ac (included angle)