Mr. harrid gave each of his two children an equal amount of his baseball card collection. he gave tony a album with cards on 15 pages and a stack of 25 cards that still need to be put in the album. he gave his daughter paula an album that has 10 cards and a stack of 65 cards to put in her album. tony and poula each received the same number of cards on each page in the album had an equal number of cards. how many cards are in each page

Each page of the album contains 8 cards.

Step-by-step explanation:

Let us assume that each page of the album contains x number of cards.

Now, Mr. Harrid gave each of his two children an equal number of his baseball card collection.

He gave Tony an album with cards on 15 pages and a stack of 25 cards that still need to be put in the album and he gave his daughter Paula an album that has 10 cards and a stack of 65 cards to put in her album.

Therefore, Tony has (15x + 25) cards and Paula has (10x + 65) cards.

Hence, (15x + 25) = (10x + 65)

⇒ 5x = 40

⇒ x = 8  

Therefore, each page of the album contains 8 cards. (Answer)

∠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.

the answer is c.

step-by-step explanation: