Plz answer 20points karen has been studying fractions, decimals, and exponents in math class with mrs. hudson. she wanted more practice, so she looked through her science magazines for numbers with exponents. take a look at some of the numbers karen found and see if you can write equivalent values for each of them. remember to use at least two of vocabulary words in the written portion of the assignment. don't forget to review the rubric to see how you will be graded (35 points). 1. apply the properties of integer exponents to write equivalent numerical expressions. show all work. ex. 32 • 3-5 = 3-3 = a. 41 • 42 b. 53 • 5-6 c. 32 • 31 d. 65 • 5-7 e. f. g. h. select two of the above express

   Select two of the above expressions (one multiplication and one division) and explain how you simplified them.  

∠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.

step-by-step explanation: i dont