Jessie has a collection of
147 sports figurines. he
has both football and
baseball figurines at a ratio
of 2: 5. how many baseball
figurines does he have?

 The required number o baseball figurines is 105.

Step-by-step explanation:  Given that Jessie has a collection of  147 sports figurines. He  has both football and  baseball figurines at a ratio  of 2 : 5.

We are to find the number of baseball figurines that he has.

Let 2x and 5x represents the number of football figurines and baseball figurines respectively that Jessie has.

According to the given information, we have

Therefore, the number of baseball figurines that he has is

Thus, the required number o baseball figurines is 105.

∠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.