Triangle def has been dilated to form triangle d'e'f'. what is the least amount of information needed to determine if the two triangles are similar?
a) angle f=f', angle e=e', and segments ec and e'c' are congruent.
b) segment ec=e'c', segment df=d'f', and angles e and e' are congruent.
c) angles e and e' are congruent, and angles f and f' are congruent.
d) segments df and d'f' are congruent, and segments ef and e'f' are congruent.

[15 points]find the quotient with the restrictions. (x^2 - 2x - 3) (x^2 + 4x + 3) ÷ (x^2 + 2x - 8) (x^2 + 6x + 8)

Acompany manufactures three types of cabinets. it makes 110 cabinets each week. in the first week, the sum of the number of type-1 cabinets and twice the number of type-2 cabinets produced was 10 more than the number of type-3 cabinets produced. the next week, the number of type-1 cabinets produced was three times more than in the first week, no type-2 cabinets were produced, and the number of type-3 cabinets produced was the same as in the previous week.

Calculate the effective quarterly compound interest rate equivalent to a 1% of monthly compound interest rate.