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the sentence that avoid faulty coordination is:

culture, which is well represented in philadelphia, plays a major role including theatre, music, and the visual arts.  

faulty coordination occurs when the writer gives equal importance two different ideas (clauses) which in fact are not equivalent. in order to correct a misplaced clause or idea, the writer can place less important or emphatic ideas in a relative clause as in the previous sentence.  

i believe the answer is: b. mr. head had a long, tube-like face with a rounded open jaw and a short depressed nose.

this is because in the un-revised sentence it said that mr. heads face was long and tube-like, and he had a rounded open jaw. this is not a very grammatically correct because of how it seems to drag on with the and, replaced with, with, makes it sound more fluent in the description.

henry david thoreau and ralph warren emerson earned the name transcendentalists.you could assume that transcendentalists come from a well educated background from people that were alive before the american civil war.these people, mostly new englanders, mostly around boston, were attempting to create a uniquely american body of literature. it was already decades since the americans had won independence from england. and so they deliberately went about creating literature, essays, novels, philosophy, poetry, and other writing that were clearly different from anything from england, france, germany, or any other european nation.another way to look at the transcendentalists is to see them as a generation of people struggling to define spirituality and religion in a way that took into account the new understandings their age made available.