Suppose that it takes john 9 hours to paint a barn if he works alone and it takes carl 6 hours to paint the same barn if he works alone. how long will it take them to paint the barn, in hours, if they work together?

In the rectangle below ac=30 units what is de

What is the solution to the system of equation graphed belowa.(0,-4)b.(2,5),1),-3)

Given: ae ≅ ce ; de ≅ be prove: abcd is a parallelogram. we have that ab || dc. by a similar argument used to prove that △aeb ≅ △ced, we can show that △ ≅ △ceb by. so, ∠cad ≅ ∠ by cpctc. therefore, ad || bc by the converse of the theorem. since both pair of opposite sides are parallel, quadrilateral abcd is a parallelogram.