G(x) = 3x - 5 h(x) = 4x - 2 Find (g + h)(8)

49

Step-by-step explanation:

g(x) = 3x - 5

h(x) = 4x - 2

(g + h)(8)

g(8) + h(8)

solve for g(8)

g(x) = 3x - 5

g(8) = 3(8) - 5

g(8)= 24-5

g(8)= 19

solve for h(8)

h(x) = 4x - 2

h(8) = 4(8) - 2

h(8)= 32-2

h(8)=30

plug in

g(8) + h(8)

19+30

49

Hope this helps!

∠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.

$12. that is my answer.