Are there any decimal numbers between 7/15 and 8/15

The decimal numbers between 7/15 and 8/15 are 0.48, 0.49, 0.50, 0.51, and 0.52

Given:

7/15

8/15

convert both fraction to decimal

7/15 = 0.4666666666666

Approximately, 0.47

8/15 = 0.5333333333333

Approximately, 0.53

The decimal numbers between 0.47 and 0.53 are 0.48, 0.49, 0.50, 0.51, and 0.52

Therefore, there are many decimal numbers between 7/15 and 8/15

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∠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.