2× 32 × 7 is the prime factorization for what number?

448

Step-by-step explanation:

The answer is 448 because if you multiply the 3 numbers, you get 448.

First multiply the smaller numbers:

Now multiply 14 by 32:

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Note: The prime factorization isn't simplified because 32 can be broken into 16 and 2(16 × 2 = 32). 16 can also be broken down into 4 and 4(4 × 4 = 16. Both of the 4's can be broken down into 2 and 2.

That would give you 2 × 2 × 2 × 2 × 2 × 2 × 7

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Hope it helps!

europa2433

europa2433

step-by-step explanation:

∠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.