John just signed up for a cell phone plan. his plan will cost him $0.20 per minute for data and he will also have to pay $45 a month for service the company does not bill partial minutes; instead the company charges john for a whole minute even if the data wasn’t used for the entire minute if john uses his phone at most 100 minutes this month what is a reasonable range?

So first you need to determine how much the minutes will cost him at most. Multiply 100(.20) and you will get 20. Add 20+45 which is 65. A reasonable range is $65.

The answer to that question your asking is 64

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