Raven loved her new book. she read for 1.25 hours on friday. on saturday she read for 1.75 hours. then on sunday she read less than she did on saturday more than she did on friday. what could the possible amount of time she read on sunday be? what day did raven read the longest? explain your thinking on the lines below.

A probability could be that she read 1.50 on Sunday. The longest day that she read was on Saturday because 1.50 is in between 1.25 and 1.75. Also, 1.25 is shorter than both numbers.  

Where is the problem

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