What is f(5) if f(1) =3.2 and f(x + 1) = 5/2(f(x))

Step-by-step explanation:

f(x + 1) = (5/2)*f(x)

f(x + 1) = 2.5*f(x), f(1) = 3.2

f(2) = 2.5f(1) = 2.5*3.2 = 8

f(3) = 2.5f(2) = 2.5*8 = 20

f(4) = 2.5f(3) = 2.5*20 = 50

f(5) = 2.5f(4) = 2.5*50 = 125

∠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.

560

hope this : )