Your friend asks you to him with his snow shoveling business and will pay you 3 pennies for the first job. you agree to if he triples your payment for each job completed. after 2 shoveling jobs, you will receive 9 pennies, and after 3 shoveling jobs, you will receive 27 pennies. complete and solve the equation that finds the number of pennies he will pay you after the seventh shoveling job.

First job = 3 pennies
Second job = 9 pennies 
Third job = 27 pennies 

Do you see the pattern? The pennies are being multiplied by 3 every job or tripling.

Fourth job = 81 pennies
Fifth job = 243 pennies
Sixth job = 729 pennies
Seventh job = 2,187

So the answer would be that after the seventh shoveling job you'd receive 2,187 pennies.

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