Simplify.

answers
2x^11
4x^11
4x^2

The answer to your question is    4x¹¹

Step-by-step explanation:

Expression

                              2x

Process

1.- Find the prime factors of 20

                   20  2

                    10  2

                     5  5

                     1

    20 = 2²5

2.- Express the square root as a fractional exponent

                             2x2²/²5¹/² x²⁰/²

3.- Simplification

                             2x¹(2)(5¹/²)(x¹⁰)

                             4x¹¹5¹/²

                             4x¹¹

4.- Conclusion

None of your answer, because we must consider .

∠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.