The triangles are similar. Find the value of x.

65

Step-by-step explanation:

If 2 shapes are similar then they have congruent angles. Since we already know the right angle is 90 degrees x must be 25 or 65 degrees. The missing angle is in between the shortest leg and the hypotenuse, in the other triangle, the angle between the shortest leg and hypotenuse is 65 degrees. So the final answer is 65.

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: