The center is considering signing up for an online game-rental service rather than buying the games. The table shows equipment cost and monthly fees for two services.
Service
NetGames
Anytime Games
Game Rental Services
Equipment Cost
$99
$19
Monthly Fee
S8
$19
1. Write and solve an inequality that represents the number of months the center could
rent games from NetGames with its $175. Explain the solution in terms of the problem.
2. Write and solve an inequality to represent the number of months the center could rent
games from Anytime Games. Explain the solution in terms of the problem.
3. Use your answers from 1 and 2 to justify which service the community center should
purchase.

C. 40,320 just did the math right now

Intersecting secant-tangent theorem states that if a tangent segment and a secant segment are drawn to a circle from an exterior point, then the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment.so to break it down: 1. pq acts as the tangent and ps as the secant with an intersection at p.sr = 21rp = 3x + 3pq = 4x + 4following to equation: tangent squared = the two segments multiplied by each otherso (4x + 4) ^ 2 = (3x + 3) • (21) simplifies to 16x^2 - 31x - 47 = 0 or (16x - 47)(x + 1) x = -1 or x = 47/162. pq acts as the tangent and ps as the secant with an intersection at p (again! )sr = 16rp = xpq = 15(15) ^ 2 = 16 • x225 = 16xx = 225/163. the interesting chords are proportional to each other so a ratio is possible to set up: ap dp 10 3 + x = = —— = pc pb 8 xcross multiple to get 10x = (3 + x)(8)x = 12