Kesara santiago purchased a riding mower for $2,746.00. she received a $49.95 rebate from the manufacturer and a $38.95 rebate from the store. what is the final price? $2,345.89 $2,567.10 $2,789.60 $2,657.10

A rebate means that the buyer receives back a portion of the original price of the item. So in this case, the rebate prices must be deducted from the original price to get the final price, that is:

final price = $2,746 - $49.95 - $38.95

final price = $2,657.1

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

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