what is the value of 3/4 ÷ 2 1/2?

3/10

Step-by-step explanation:

3/4 divided by 2 1/2

Change the mixed number to an improper fraction

2 1/2 = (2*2 +1) /2 = 5/2

3/4 divided by 5/2

Copy dot flip

3/4 * 2/5

6/20

Simplify by dividing the top and bottom by 2

3/10

∠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.

c 1 hour

step-by-step explanation:

m = 2e

m = 2 so 2 = 2e

1 = e