(6) (bonus) here is a proof that for n > 0, 12 22 +..+2" = 2n+1. proof. suppose 1 + 2 + 2 +..+ 2" = 2n+1 for some n > 0. then 2n+12n+1 .. +2" +2"n+1. 1222 using the inductive hypothesis 2(2"+1) 2"+2 2(n+1)+1 as we needed to show. now, obviously there is something wrong with this proof by induction since, for example, 1+222 7, but 22+1 = 23 = 8. what specifically is wrong with the proof?

the correct answer is a) "catholic church".

the proposals that liberals in mexico made during 1855 were particularly focused on a person's individual rights, such as the freedom of speech, the freedom of conscience, freedom of assembly, and the right to possess weapons.

when the constitution was formally published 2 years later (1857). it also contained an article which permitted education free from any religious influence, the removal of the catholic church institutional privileges, and the sale of property belonging to the church. all of these provisions were clearly against the catholic church interests.  

step-by-step explanation:

the triangles are similar. therefore the corresponding sides are in proportion:

              cross multiply

            divide both sides by 32