Malik earns an average of 412 points on his daily quizzes. Near the end of the quarter, his average decreases by 34 points. Write and then evaluate a subtraction expression (in fraction form) to find his current quiz grade average.

Required expression= 412-34

Current quiz grade average = 378

Step-by-step explanation:

Given: The average points on daily quizzes = 412

The average decreases by 34 points.  (Near the end of the quarter)

Current quiz average = (Average points on daily quizzes) - (Average decreases)

i.e. Current quiz average =412-34  [ i.e. Required expression= 412-34]

i.e.  Current quiz average =378

Hence, his current quiz grade average = 378

the correct answer is 828.07

∠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.