. El siguiente cuadro muestra el porcentaje de votación que alcanzaron los cuatro partidos en las últimas elecciones para alcaldes provinciales, en una
provincia en la que votaron 65 000 electores.
Partido %
Progreso posible 42%
Bienestar para todos 28%
Todos unidos 16%
Camino al éxito 12%
Votos nulos o en blanco 2%
¿Cuántos votos más debió obtener el candidato del partido “Bienestar para
todos” para igualar al candidato del partido “Progreso posible”?
a) 14
b) 9 100
c) 27 300

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