A cyclist travels 5 miles in the direction N 30° E, then travels 3 miles in the direction N 70° E. Which equation measures the cyclist's distance, x, from the starting point?
52 = x2 + 32 – 2(3)(x)cos(100°)
52 = x2 + 32 – 2(3)(x)cos(140°)
x2 = 52 + 32 – 2(5)(3)cos(100’)
x2 = 52 + 32 – 2(5)(3)cos(140°)

Josh has a rewards card for a movie theater he receives 15 points for becoming a rewards card holder he earns 3.5 points for each visit to the movie theater he needs at least 55 points to earn a free movie ticket which inequality can josh use to determine x, the minimum number of visits he needs to earn his first free movie ticket.