Ateams win-loss ratio was 3 to 2. if the team had played 20 games without a tie, how many games had it won?

So this ratio has 5 parts (the 3 and 2 added make 5).  We take the total games and divide by the total parts of the ratio
20/5=4

We now know that each part of the ratio is equal to 4 games.  So we multiply by the parts

3*4 = 12
2*4 = 8

Therefor our ratio is 12 to 8 or 12 wins to 8 losses

The team won 12 games

Hope that helps.

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