How are we supposed to find the Perimeter?

We find the perimeter by adding all the sides
in the shape.

Side 1: 7t - 8
Side 2: 9t - 10
Side 3: 10t + 1
Side 4: 5t + 4

(7t - 8) + (9t - 10) + (10t + 1) + (5t + 2) = the perimeter.

Simplify, and we can know that the answer is 31t - 15!

Hope this helps! Please tell me if I did anything wrong, thank you and have a great day =D

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