A carpinter installing shelves in two offices. Each office will have 4 shelves. The wood the carpinter wants to use comes in 6foot long boards. Each shelf is 2 1/4 feet long. How many boards he does need?

The carpenter will need 3 6-foot long boards in order to make the 8 shelves.

Step-by-step explanation:

Given that a carpinter is installing shelves in two offices, each office will have 4 shelves, and the wood the carpinter wants to use comes in 6foot long boards, the measure of each shelf being 2 1/4 feet long, to determine how many boards he does need, the following calculation must be performed:

1/4 = 0.25

(2 x 4 x 2.25) / 6 = X

(8 x 2.25) / 6 = X

18/6 = X

3 = X

Thus, the carpenter will need 3 6-foot long boards in order to make the 8 shelves.

80° is the measure of gh

step-by-step explanation:

circle f is congruent to circle j

we have two circle with center f and j.

both circles are congruent. the radius of the circle would be equal.

see the attachment for the circle.

we are given ∠efd ≅ ∠gjh

therefore, arc (ed) = arc (gh)     (∴ circle f is congruent to circle j)

but ∠dfe=80°=arc (ed)

therefore, arc (gh) = 80°

thus, 80° is the measure of gh