Answer:
Solution given:
AB=3units
<B=45°
<C=63°
DF=3units
<E=63°
<F=45°
for congruence opposite corresponding angle or side should be equal
so
∆ABCis congruent to ∆DFE by A.A.S axiom
Similarly
its another name also be
∆BAC=~ ∆FDE
you got it.third one.
 
        
                    
             
        
        
        
9514 1404 393
Answer:
   f(8) = -30 is the maximum
Step-by-step explanation:
The equation is that of a parabola in vertex form:
   y = a(x -h)^2 +k . . . . . . . . (h, k) is the vertex; 'a' is the scale factor
Comparing this form to the given equation, we have ...
   f(x) = -(x -8)^2 -30
That is, the scale factor is -1, and the vertex is (8, -30).
When the scale factor is negative, the graph opens downward and the vertex is a maximum. The maximum value is -30.
 
        
             
        
        
        
Answer:
It's all about the brackets.
Step-by-step explanation:
If we do (-4)^2, the brackets make it -4 x -4 and the two negatives make a positive of 16. 
If we do -4^2, that means that the 4 is squared before putting the minus sign there so you have 4x4 = 16 then put the minus to get -16.
Hope this helps!
treviglaslibrary