∆ABC represents a randomly drawn triangle. ∆BCD is an isosceles triangle with sides BC and BD congruent. Point D lies on the line passing through points A and B. Use this information to answer the questions that follow. a. As the construction shows, the measure of ∠ACD is greater than the measure of ∠BCD. Based on this information, create an inequality involving sides AD and AC and explain your reasoning.

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answer:

a(n) - a(n-1) -3

discussion:

this ones a bit interesting. given a(n) = 5 - 3n consider this:

a(n-1) = 5 - 3(n-1)

          = (5 - 3n) + 3             => but a(n) = 5 - 3n, the first term

          = a(n)   + 3                 => subtract 3 from both sides

a(n-1) -3 = a(n)  

or

a(n) - a(n-1) -3

you,

mrb

answer: d. $20

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