The double number line shows the approximate number of ounces in a certain number of pounds: two number lines are shown. the one on top is labeled pounds and has tick marks labeled 1, 2, and 3 with secondary tick marks in between. the one on bottom is labeled ounces and has tick marks labeled 8, 24, and 40 with secondary tick marks in between. the first tick mark on pounds lines up vertically with the first secondary tick mark on the ounces line, and the remaining tick marks all line up. based on the number line, about how many ounces are there in 5 pounds? 21 ounces 40 ounces 64 ounces 80 ounces

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

For a 0.25 pfor b o.3pp (0.25+0.3)=0.28