has 8 times as many rocks in his collection as carter. carter and jacey have 54 rocks altogether. how many rocks does jacey have?

Jacey has 48 rocks. Carter has 6 rocks.

If Carter and Jacey are the only factor owners of 54 rocks

We divide 48 by 8 = 6 rocks: 42 difference;

Which is also 54  as 6 + 48 = 54

They now have 48 difference

6,6, 6,6, 6,6, 6,6 = 48

We see 48 - 6 = 42.

We also see 48 + 6 = 54

54=6 = 48

48 difference is the denominating divider; meaning 48/8 = 6 is how we first find the answer before adding on the 6 to show the difference of 8 equal shares.

i think c. but don't trust it.

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.