Identify the main operator in the following wff (p q r a) b) c) v d) question 12 (1 point) identify the main operator in the following wff k p a) b) c) v d) question 13 (1 point) identify the main operator in the following wff (mv p) (qv r]sp a) b). c) v d) question 14 (1 point) choose the correct translation of the following statement into symbolic form using the uppercase letters available. you can stop spending your allowance, then if you can afford a bike, then you can bike to school. let s you can stop spending your allowance, a you can afford a bike, and b you can bike school a) s ad b b) bsa c) s(a b d) s (b a)

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