An architect plans to make drawing of the room of a house. the segment of lm represents the floor of the room. he wants to construct a line passing through q and perpendicular to side lm to represent a wall of the room. he uses a straightedge and compass to complete some steps of the construction, as shown below. which of these is likely to be his next step in constructing the perpendicular line?

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.