Given: d is the midpoint of ab; e is the midpoint of ac. prove: de ∥ bc complete the missing parts of the paragraph proof. proof: to prove that de and bc are parallel, we need to show that they have the same slope. slope of de = = = slope of bc = therefore, because , de ∥ bc.

Acompany manufactures three types of cabinets. it makes 110 cabinets each week. in the first week, the sum of the number of type-1 cabinets and twice the number of type-2 cabinets produced was 10 more than the number of type-3 cabinets produced. the next week, the number of type-1 cabinets produced was three times more than in the first week, no type-2 cabinets were produced, and the number of type-3 cabinets produced was the same as in the previous week.