Determine whether the triangles in the given pair are congruent. If so, state the property that shows the triangles are congruent.
A. congruent; ASA
B. not congruent
C. congruent; SAS
D. congruent; SSS
Answer: C
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A. prime B. (x + 5)(x - 8) C. (x - 5)(x + 8) D. (x - 40)(x + 1)
Find the length.
A.
1 inches
B.
inches
C.
inches
D.
inches
Find the curvature of the space curve.r(t) = ti + (sinh t)j + (cosh t)k
A. ? = sinh2 t
B. ? = cosh2 t
C. ? =
D. ? =
Solve the problem.To play the lottery in a certain state, a person has to correctly select 5 out of 45 numbers, paying $1 for each five-number selection. If the five numbers picked are the same as the ones drawn by the lottery, an enormous sum of money is bestowed. What is the probability that a person with one combination of five numbers will win? What is the probability of winning if 100 different lottery tickets are purchased?
A. ;
B. ;
C. ;
D. ;