You are part of a construction company that is supposed to build houses. An architect has left plans to build houses on each island. Bridges connect the islands. Island A and Island B have a total of 25 houses. Island A and Island C have a total of 10 houses. Island B and Island C have a total of 25 houses. A total of 30 houses is to be built on the three islands. Determine how many houses are to be built on each island.

Island A=5

Island B=20

Island C=5

Step-by-step explanation:

Island AB=25 house

Island AC=10 house

Island BC=25 house

Total =30 house

30-25 to get the house on island C which is 5

30-10 to get the house on island B which is 20

30 -25 to get the house on island A which is 5

69

step-by-step explanation:

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)