Which statements are true when you contrast multiplicative numerical patterns in the form and additive numerical patterns in the form ? choose all answers that are correct. a. in an additive numerical pattern, the relationship between x and y values is y + x, but in a multiplicative pattern, the relationship is y × x. b. as x-values increase by 1 in the table of values for an additive numerical pattern, y-values also increase by 1. c. the graph of a multiplicative numerical pattern is steeper than the graph of an additive numerical pattern. d. graphs of all additive numerical patterns go through the point (0, 0), but not all multiplicative patterns do.

A. In an additive numerical pattern, the relationship between x and y values is y + x, but in a multiplicative pattern, the relationship is y × x.

Step-by-step explanation:

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.