POINTS I NEED YOU GENIUSES AT LEAST COME AND LOOK EASY I JUST STRUGGLE 13. Which line is perpendicular to y= -3/4 x+2 if the line passes through the point (3, 5)?

A) y= 4/3 x+1
B) Y-3= 4/3(x-5)
C) y= 4/3x-9
D) y-3= -3/4(x-5)

18. What is the range of y=x+3^2?
A) {3^2}
B) {1, 3, 9}
C) All real numbers except 9.
D) All real numbers

13.A) y= 4/3 x+1

D) all real numbers

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.