Question 15 tell me how to work out the coordinates for b and d

D is on the same point on the x-axis as A and the same point on the y-axis as C, therefore the coordinate for D is (3,3).
B is on the same point on the x-axis as C and the same point on the y-axis as A, therefore the coordinate for B is (9,11).

Hope you understand, I'm not amazing at explaining things :)

Opposite sides of a rectangle are equal and parallel, so B is (9, 11) and D is (3, 3).

Hope this 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