Esteban finds 12 baseball cards on Monday and 24 more baseball cards on Tuesday he gives some baseball cards to his sister and now he has 13 what is that answer?

Number of cards given to sister = 35 card

Step-by-step explanation:

Find baseball card on Monday = 12

Find baseball card on Tuesday = 12 + 24 = 36

Remain baseball card = 13

Find:

Number of cards given to sister

Computation:

Number of cards given to sister = Find baseball card on Monday + Find baseball card on Tuesday - Remain baseball card

Number of cards given to sister = 12 + 36 - 13

Number of cards given to sister = 35 card

∠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.