The ABC Toy Company is creating two similar pieces for a board game, as shown below. Find the value of x that makes the two pieces similar. (5 points) Triangle ABC is shown with sides AB marked as 6, BC marked as 7, and AC marked as y. Triangle DEF is shown with sides DE marked as 12, EF marked as x, and DF marked as z.

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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:

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