An equation was created for the line of best fit from the actual enrollment data. It was used to predict the dance studio enrollment values shown in the table below: EnrollmentMonth Actual500400550550750400 Predicted410450650650600450 Residual90−50−100−100150−50 Analyze the data. Determine whether the equation that produced the predicted values represents a good line of best fit. No, the equation is not a good fit because the sum of the residuals is a large number. No, the equation is not a good fit because the residuals are all far from zero. Yes, the equation is a good fit because the residuals are not all far from zero. Yes, the equation is a good fit because the sum of the residuals is a small number.

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

4should be the last one n=4