Original price: $125
discount: ?
sale price: $81.25
find the discount

Original price=125
discount=x dollars or percent I will find both
sale price=81.25

so origonal-discount=sale
125-x=81.25
subtract 125 from both sides
-x=-43.75
multiply -1
x=43.75
the discount was 43.75

to convert into fraction divide 43.75 by 125 then multiply by 100
43.75/125=0.35
0.35 times 100=35%

35% discount

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