Please help ill mark you as brainlesit if correct!

Step-by-step explanation:

Formula : Probability =

Given , Sam has 4 cards numbered 2,3,5, and 7.

His friend has 4 cards numbered 1,2,6 and 7.

If they both draw one card and put that on table , then the possible combinations of cards would be (2,1) , (2,2), .... (7,6), (7,7).

i.e. Number of possible outcomes would be (S) 4 x 4 = 16

Favorable outcomes that they will choose same number (F) = (2,2) , (7,7)

Now , the probability that they will both choose the same number would be :

Hence, the required probability =

∠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.

answer: plz put a pic in so i can answer it

step-by-step explanation: