Samuel needs 233 feet of wood to build a fence. the wood comes in lengths of 11 feet. part a. how many pieces of wood will samuel need to buy. part b. theresa needs twice as many feet of wood as samuel. how many pieces of wood does theresa need to buy?

A. (233 ft)/(11 ft/pieces) = 21 2/11 pieces

21 pieces is not enough; Samuel will need to buy 22 pieces.

B. Theresa will need 2×(21 2/11 pieces) = 42 4/11 pieces.

42 pieces is not enough; Theresa will ned to buy 43 pieces.

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If Theresa can use the left-over from Samuel's project, or vice versa, together they only need to buy 64 pieces.

δabc ≅ δdcb by sas because

db ≅ ac . . given (side)

bc ≅ bc . . reflexive property (side)

∠dbc ≅ ∠ acb . . alternate interior angles where transversal bc crosses parallel lines bd and ac (included angle)

the terms of a geometric sequence can be found by beginning with the first term and multiplying by the common ratio repeatedly. a recursive formula for a geometric sequence with common ratio r is given by an=ran−1 a n = r a n − 1 for n≥2 n ≥ 2 .

step-by-step explanation: