Janice worked 8 1/4, 9 1/2, 8 3/4, 9 1/4 and 8 hours during the week. if she earns $6.86 per hour how much does she earn before the deductions. just remember that any time worked over 40 hours is paid at a time and a half

  $312.99

Step-by-step explanation:

Janice worked at least 8 hours every day, so we can figure her overtime by subtracting 8 from the daily hours worked:

  0.25 + 1.50 + 0.75 + 1.25 + 0 = 3.75 . . . hours of overtime

Her pay for this time is the same as straight pay for ...

  1.5 × 3.75 hours = 5.625 hours

So, Janice has a gross pay for the week of ...

  (45.625 h) × ($6.86/h) = $312.9875 ≈ $312.99

Janice earns $312.99 before deductions.

∠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.