1.) what is the difference in weight of two boxes of cereal, one weighing 1 pound 4 ounces and the other weighing 13 ounces? 2.) if you divide a 6-foot-8-inch board into four equal lengths, how long will each piece be?

You first need to know your conversions:

1 pound = 16 ounces,  1 foot = 12 inches

1.  so 1 pound 4 ounces = 20 ounces. Now subtract that with 13 and you should get 7 ounces

2. so 6 foot by 8 inch board =  80 inches. Now divide that with 4 and you should get 20 inches

hope that helps :)

∠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.