ABC Cable, a cable TV and high speed internet provider, charges each customer $120 for installation, plus $25 per month for cable programming and high speed internet service. XYZ Cable, a competitor, charges $60 for installation and $35 per month for cable programming and high speed internet service. A customer who signs up with ABC will pay the same total amount for the service as a customer who signs up with XYZ if each pay for installation and for cable programming and internet service for how many months?
A) 3. B) 6. C) 10. D) 18. E) 30.
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In a triangle ABC, the measure of angle B is 90 degrees, BC = 16 and AC = 20. Triangle DEF is similar to triangle ABC, where vertices D, E and F correspond to vertices A, B and C, respectively, and each side of triangle DEF is 1/3 the length of the corresponding side of triangle ABC. What is the value of sine F?

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