In triangle ABC, A is a right angle and M B=45°. Find BC. If you answer is not an integer, leave it in simplest radical form.

Step-by-step explanation:

- In a right triangle, if ∠B is 45°, then ∠C is too.

-- Since ∠B  and  ∠C  are equal, the sides opposite them

are equal too.  This is an isosceles right triangle.  Its legs

are equal.

-- (The hypotenuse)²  =  (one leg)²  +  (the other leg)²

                                  =       (12-ft)²  +  (12-ft)²

                                  =              (144 x 2)

     The hypotenuse  =  √(144 x 2)  =  12√2 .

LOL

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: