You are going on a trip. you get up in the morning at 6: 00 am. it takes you 30 minutes to pack your car. you leave at 8: 00 am and you drive for 2 hours, stop a ½ hour for lunch, drive another hour, then a quick 15 minute stop for gas. finally, you drive the last 45 minutes and you are there. what time will you arrive at your destination? any two people who answers this question gets "50 pts."

The time of your arrival should be 12:30 PM
8:00 AM departure+2 hours elapsed=10:00 AM
10:00 AM+30 minute lunch=10:30 AM
10:30 AM+1 hour=11:30 AM
11:30 AM+15 minute gas stop=11:45 AM
11:45 AM+45 minutes driving time=12:30 PM time of arrival

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

(answer 2 )i’m very smart that’s how i know the answer.