If x and y vary directly, and x=3/4 and y =15 which of following represents this situation? a x=11.25y

b y=11.25x

c x=20y

d y=20x

D

Step-by-step explanation:

simple plug and chug.

Understand that variables are already defined, x=3/4, y=15 meaning that if we plug one of the variables into an equation, we should obtain the other variable's number.

y=20x will result in y=15 when x=3/4 and vice versa.

∠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.

you forgot an image

step-by-step explanation: