Answer:
64 
Step-by-step explanation:
the expression is 
x² - 16x + _
the constant term is the square of the number residing with x divided by 2 
the number number x = 16 
therefore the constant term is (16/ 2)²
= 8²
= 64
the formula being used here is 
(x + a)² = x² + 2ax + a² 
 
        
             
        
        
        
Answer:
19
Step-by-step explanation:
Inscribed Angle = 1/2 Intercepted Arc
< DBG = 1/2 ( DG)
< DBG = 1/2 ( 360 - BD - BG)
            = 1/2 ( 360 - 172 - 150)
            = 1/2 (38)
            = 19
 
        
             
        
        
        
Answer:
Step-by-step explanation:
If the diagonals of the rectangle are congruent,
AC = BD
By using formula to calculate the distance between two points,
Distance between two points = 
Distance between A(0, -3) and C(2, 8),
AC = 
      = 
      = 
Similarly, distance between two points B(-4, 0) and D(6, 5),
BD = 
      = 
      = 
Therefore, both the diagonals are congruent.
Hence, given quadrilateral ABCD is a rectangle.
 
        
             
        
        
        
When solving these proportions we just remember when moving a number from one side to the other if it started in the numerator it ends up in the denominator and vice versa.
I'll do it in two steps here for teaching purposes; it's not too hard to go directly to the answer.


