The function f(x)=0.39x+10.9 can be used to predict diamond production. For this function, x is the number of years after 2000, and f(x) is the value (in billions of dollars) of the year's diamond production. Use this function to predict diamond production in 2006 The diamond production in 2006 is predicted to be $[ ] nothing billion.

The diamond production is 2006 is expected to be 13.24 billion

Step-by-step explanation:

Here, we want to predict the diamond production is 2006

The equation to use is given in the question as;

f(x) = 0.39x + 10.9

Since x is the number of years after 2006, in this particular question, x will be 2006-2000 = 6

So f(6) = 0.39(6) + 10.9

f(6) = 2.34 + 10.9

f(6) = 13.24 billion

answer: i think it's a

step-by-step explanation:

∠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.