I WILL GIVE BRAINLIEST IF YOU HELP ME 1- Sara left a bin outside in her garden to collect rainwater. She notices that 1 over 8 gallon of water fills 2 over 3 of the bin. Write and solve an equation to find the amount of water that will fill the entire bin. Show your work. Explain your answer in words.

2- The price of a pair of headphones is $49.99 before tax. Ron bought the headphones for a 50% discount. He then paid sales tax of 8% on the discounted price.

Part A: How much did Ron pay in sales tax? Show all work and steps in your solution. (5 points)
Part B: What is the total amount that Ron paid for the headphones? Show all work and steps in your solution. (5 points)

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