Find the equivalent expression
3 + 2 (2p + 4t)

a. 12p + 24t
b. 4p + 12t + 6
c. 4p + 8t + 3
d. 10p+ 6t + 3

You put the following items into your rucksack. ham 600 g cheese 380 g tomatoes 270 g how much do all the ingredients weigh in total?

Describe the domain and range of y=2(3)^x-2+5

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.