A farmer sells 6.8 kilograms of apples and pears at the farmer's market. 4 5 of this weight is apples, and the rest is pears. How many kilograms of pears did she sell at the farmer's market?

As a decimal your is 5.4 rounded to the nearest tenth. As a mixed number fraction your answer is: 5 11/25. As a improper fraction your answer is: 136/25.

Step-by-step explanation:

Basically what I did was just divide 6.8 by 4/5. Or you could change 4/5 in a decimal and divide like that, OR change 6.8 into a fraction which is what if did- I’ll show you below. But, it’s better to have all solutions to the problem.

1) change 6.8 into fraction: 34/5

2) rewrite: 34/5 divide by 4/5

3) multiply: 136/25

4) alternative forms:

A. Mixed number- 5 11/25

B. Decimal: 5.44 or 5.4 rounded to nearest tenth.

I hope this helped, good luck! :)

2 is the final ! : )

∠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.