That is true because the square root of 32 is about 5.66, so 4.65 IS less than it.
        
             
        
        
        
Answer :because sometimes it can be fake
Step-by-step explanation:
 
        
             
        
        
        
Answer:
A, C, F
Step-by-step explanation:
Definition: The circumcenter is  the center of the triangle's circumcircle - the circle that passes through all three of the triangle's vertices. If point H is the circumcenter of the triangle DEF, then the circumcircle passes through its vertices D, E and F (option A is true).
Option B is false, the circumcircle doesn't pass through the points L, M and N. This option is true for inscribed circle, not for circumcircle.
Option C is true, because HD and HE are the radii of the circumcircle.
Option D is false. This option is true for inscribed circle, not for circumcircle.
Option E is false. This option is true for inscribed circle, not for circumcircle.
Option F is true, because both these angles are right angles.
 
        
             
        
        
        
Answer:
From the graph attached, we know that  by the corresponding angle theorem, this theorem is about all angles that derive form the intersection of one transversal line with a pair of parallels. Specifically, corresponding angles are those which are placed at the same side of the transversal, one interior to parallels, one exterior to parallels, like
 by the corresponding angle theorem, this theorem is about all angles that derive form the intersection of one transversal line with a pair of parallels. Specifically, corresponding angles are those which are placed at the same side of the transversal, one interior to parallels, one exterior to parallels, like  and
 and  .
.
We also know that, by definition of linear pair postulate,  and
 and  are linear pair. Linear pair postulate is a math concept that defines two angles that are adjacent and for a straight angle, which is equal to 180°.
 are linear pair. Linear pair postulate is a math concept that defines two angles that are adjacent and for a straight angle, which is equal to 180°.
They are supplementary by the definition of supplementary angles. This definition states that angles which sum 180° are supplementary, and we found that  and
 and  together are 180°, because they are on a straight angle. That is,
 together are 180°, because they are on a straight angle. That is, 
If we substitute  for
 for  , we have
, we have  , which means that
, which means that  and
 and  are also supplementary by definition.
 are also supplementary by definition.
 
        
                    
             
        
        
        
Answer:
D 
Step-by-step explanation:
group them first : 
( x3+5x2) and ( -6x-30)
then simply by gcf ( greatest common factor) : 
x2(x+5) and -6(x+5) 
and just add them together: 
x2(x+5)-6(x+5) 
bonus : 
it can be written as (x2-6)(x+5)