H(x) = x2 + 1 k(x) = x – 2 (h – k)(3)=

5

Step-by-step explanation:

h(x) = x² + 1

k(x) = x - 2

(h - k)(3)

Plug x as 3.

h(3) - k(3)

3² + 1 - 3 - 2

Evaluate.

9 - 4

= 5

1=(h-k)(3)=8

Step-by-step explanation: Use the given functions to set up and simplify

Brainliest or a thank you please? :))

∠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.