Read the proof. given: ab ∥ de prove: △abc ~ △edc statement reason 1. ab ∥ de 1. given 2. ∠acb and ∠ecd are vert. ∠s 2. definition of vertical angles 3. ∠acb ≅ ∠dce 3. vertical angles are congruent 4. ∠bde and ∠dba are alt. int. ∠s 4. definition of alternate interior angles 5. ∠bde ≅ ∠dba 5. alternate interior angles are congruent 6. △abc ~ △edc 6. ?

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

Randy and trey take turns cleaning offices on the weekends. it takes randy at most 4 hours to clean the offices. it takes trey at most 6 hours to clean the offices. what is the greatest amount of time it would take them to clean the offices together? 2.4 hours 2.5 hours

If 5x - 2 = -12, then x = a) -50 b) -4.4 c) -2.8 d) -2