An 8oz cup of coffee has about 184 mg of caffeine. this is 5 times much caffeine as in a 12 oz soft drink. write and solve an equation to find about howcaffeine is in a 12 oz caffeinated soft drink. round your answer to the nearest whole number. ( explain how to do this problem ! )

Let x be the quantity of caffeine in 12 oz of soft drink (in mg )

Given,

The quantity of caffeine in 8 oz cup of coffee = 184 mg,

According to the question,

5 times of x =  caffeine in 8 oz cup of coffee,

⇒ 5x = 184

Which is the required equation,

By solving it,

⇒ x = 36.8 ≈ 37,

Thus, the caffeine in 12 oz of soft drink is 37 mg.

∠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.