Lisa has 6 hours of studying to do . if she divides her study time into 1/2-hour sessions , how many study sessions will she need .

a.12

b.8

c.3

d.4

12

Step-by-step explanation:

6 / .5 (same as 1/2)

or 6 X

Remember when we divide by a fraction we do the following

Keep it (the first number stays the same)

Change it (convert from a division problem to a multiplication problem)

Flip it (flip the fraction that we are dividing by over - this is called a reciprocal)

∠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.