You win an online auction for a toy. Your winning bid of $60 is 75% of your maximum bid. How much more were you willing to pay for the toy than you actually paid?

60 is 75% of x. The formula to find the 100% of the number we don’t know we need to

Number given • 100
Over *this will serve as the fractions symbol*
Percentage given

The number given is 60 and 60 • 100 is 6000.
6000 divided by the percentage given 75 is 80. The 100% is 80 so his maximum bid is 80$

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