Chelsea uses gold chain to make bracelets. she has three pieces of unused gold chain. the lengths of these pieces are : 11 5/8 inches, 9 3/4 inches, 10 1/2 inches . what is the average of the three pieces of chain?

11 5/8 in = 11.625 in

9 3/4in = 9.75 in

10 1/2 in= 10.5 in

11.625+9.75+10.5= 31.875in

To find the average divide the total of inches by the amount of pieces there are to find the average:

31.875 / 3 = 10.625in

∠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.