Round (x) 1 2 3 4 Teams f(x) 16 8 4 2

Compute the average rate of change of f(x) from x = 1 to x = 4 and identify the meaning of that rate.

A. negative three over fourteen; on average, there were 3 fewer teams every 14 rounds
B. negative fourteen over three; on average, there were 14 fewer teams every 3 rounds
C. 3; there were 3 rounds between rounds 1 and 4
D. 14; there were 14 fewer team between rounds 1 and 4

∠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.

27 + 13x + 15 = (x + 5)( =

step-by-step explanation:

27 + 13x + 15 = (x + 5)( = 27 + 13x + 15 = (x + 5)( = 27 + 13x + 15 = (x + 5)( =

f(x)=2/3x-8, which give g(x) the greatest value.

step-by-step explanation:

4

step-by-step explanation:

im pretty sure it's 4 beacsue 8/2 equals 4