Three circles with centers a, b, and c are externally tangent to each other as shown in the figure. lines eg and dg are tangent to circle c at points f and d and intersect at point g. if each circle has a diameter of 6 inches, find the length of dg and the area enclosed by lines fg and gd, and arc fd. : ) plese

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.