20 points!! Mateo earns a yearly salary of $40,000. Rico earns a yearly salary of $51,000. Mateo will receive a salary increase of $3,500 per year, and Rico will receive a salary increase of $2,800 per year. Which equation can be used to find n, the number of years it will take Mateo to earn the same salary as Rico?

40,000n + 3,500n = 51,000n + 2,800n

40,000 + 3,500n = 51,000n + 2,800

40,000n + 3,500 = 51,000n + 2,800

40,000 + 3,500n = 51,000 + 2,800n

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