Arectangular prism with a volume of 12 cubic units is filled with cubes twice: once with cubes 1/2-unit side length and once with 1/3-unit side length. a)how many more the cubes with 1/2-unit side length are needed to fill the prism? b)finally, the prism is filled with cubes whose side length are 1/4 unit. how many 1/4-unit cubes will it take to fill the prism? first to answer correctly and brainlest and 20 points

∠1≅∠2 by the alternate exterior angles theorem.

step-by-step explanation:

given, a ∥ b and ∠1 ≅ ∠3 .we have to prove that e ∥ f

we know that ∠1≅∠3 and that a || b because they are given. we see that by the alternate exterior angles theorem. therefore, ∠2≅∠3 by the transitive property. so, we can conclude that e || f by the converse alternate exterior angles theorem.

we have to fill the missing statement.

transitivity property states that if a = b and b = c, then a = c.

now, given ∠1≅∠3 and by transitivity property ∠2≅∠3 .

hence, to apply transitivity property one angle must be common which is not in result after applying this property which is ∠1.

the only options in which ∠1 is present are ∠1 and ∠2, ∠1 and ∠4

∠1 and ∠4 is not possible ∵ after applying transitivity we didn't get ∠4.

hence, the missing statement is ∠1≅∠2.

so, ∠1≅∠2 by the alternate exterior angles theorem.

the first one, all those points on the line just make a strait line.