1/2 pound : 5 days find the unit rate

Using the principle of proportional relationship, the unit rate, which is the rate per pound is 1 : 10 days

Setting up the proportional relationship thus :

0.5 pounds = 5 days

1 pound = x days

Cross multiply

0.5x = 5 × 1

0.5x = 5

Divide both sides by 0.5

0.5x/0.5 = 5/0.5

x = 10

Therefore, the unit rate is 1 : 10 days

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0.1

Step-by-step explanation:

To set this question up:

1/2 / 5

To solve this turn 5 into 5/1. Then multiply by the reciprocal. (1/5) 1/2 times 1/5 is 0.1

∠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.