Considérese la región del plano P definida por P= {(x, y) E R2 : x + 2y > 4: x + 2y < 12; * < 4; -x + 2y < 12}
a)Representese gráficamente la región P y calcúlense las coordenadas de sus vértices.
b) Determinense los puntos en los que la función f(x, y) = 3x-y alcanza sus valores máximo y minimo en P
indicando el valor de f en dichos puntos.

Given: lines a and b are parallel and line c is a transversal. prove: 2 is supplementary to 8 what is the missing reason in the proof? statement reason 1. a || b, is a transv 1. given 2. ∠6 ≅ ∠2 2. ? 3. m∠6 = m∠2 3. def. of congruent 4. ∠6 is supp. to ∠8 4. def. of linear pair 5. ∠2 is supp. to ∠8 5. congruent supplements theorem corresponding angles theorem alternate interior angles theorem vertical angles theorem alternate exterior angles theorem