Please help giving BRANLIEST to the best answer THIS SHOULD BE EASY

3

Explanation:
To find the scale factor, we need to look at the proportions of each figure and compare them to each other.

For example, we can look at the distance between point A and point C and compare it to the distance between point A’ and point C’ (on the second figure).

On the first figure, the distance is 2 units and on the second figure, the distance is 6 units. To get from 2 to 6 we would need to multiply 3, so therefore, the scale factor is 3.

I hope this helps! Please comment if you have any questions.

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