The speed limit on the road is 55 mph. the police officer is using a radar device to monitor speed. he allows people to exceed the limit by 5 mph or drive under the limit by 10 mph without giving them a ticket. write a compound inequality representing the speed which drivers can travel without getting a ticket.

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.