Choose the similarity statement that best represents the triangles. Provide evidence.

A. Triangles are similar by AA similarity.
B. Triangle are similar by SAS similarity.
C. Triangles are similar by SSS similarity.
D. Triangles are not similar.

A. Triangles are similar by AA similarity.

Step-by-step explanation:

By the Angle Angle Similarity Theorem, if two pairs of corresponding angles are congruent, then the triangles are similar.  As a given, Angle E is 35 degrees and Angle B is 45 degrees, which means that Angle R is 100 degrees; By definition, a triangle is 180 degrees in total.  Therefore, Angle R is congruent to Angle A.  Angles REB and AEZ are also congruent by the vertical angle theorem.  

In conclusion, triangles AEZ and REB are similar by the AA similarity theorem.

guess at question:

a vertical line intersects the graph of g(x,y) = 0 at two points. what conclusion follows about the function f(x) implicitly defined by g(x,f(x)) = 0?

the domain of f(x) cannot include the x coordinate of any such vertical line.

informally, f(x) is not a function, and

g(x,y)=0 cannot be solved for y uniquely.

the relation r = {(x,y) such that g(x,y) = 0} is a function if

for all (a,b) ∊ r and (c,d) ∊ r, a=c implies b=d.

step-by-step explanation: