On each necklace Gabby makes, there are 3 more purple beads than silver
beads.
Let s represent the number of silver beads and p represent the number of purple
beads.
Complete the table using the equation p = s + 3.

see the explanation

Step-by-step explanation:

Let

s ---> represent the number of silver beads

p ---> represent the number of purple  beads.

we know that

On each necklace Gabby makes, there are 3 more purple beads than silver

beads.

so

The linear equation that model this situation is given by

To create a table, assume different values of s and solve for p

so

1) For s=1

substitute in the linear equation and solve for p

1) For s=2

substitute in the linear equation and solve for p

3) For s=3

substitute in the linear equation and solve for p

4) For s=4

substitute in the linear equation and solve for p

5) For s=5

substitute in the linear equation and solve for p

therefore

The table is

the answer for this question is 38

∠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.