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?
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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