For the first figure, the geometric figure used in the construction that is shown is the intersection of the angle bisectors of the triangle is the center of the inscribed circle.
For the second figure, the construction of the above figure in the circle represents how to find the intersection of the perpendicular bisectors of triangle ABC.
For the third figure, the statement that is demonstrated in the in line P intersecting line m perpendicularly is the set of points equidistant from the endpoints of  a line segment  is the perpendicular bisector of the segment.
        
             
        
        
        
Answer:
m+49=d ; d-49 = m
Step-by-step explanation:
Jim $ = m
Keenan $ = d
m+49=d ; d-49=m
btw please lmk if i get this wrong 
 
        
                    
             
        
        
        
Answer:
Number 3 has no solution 
Step-by-step explanation:
First you need to divide both sides of the equation 12x - 12y = -12 by 4
-3x + 3y = -3
12x - 12y = -12 
-3x + 3y = -3
3x - 3y = -3
Then you need to eliminate one variable by adding the equations.
0 = -6
this statement is false, and therefore has no solution. 
 
        
             
        
        
        
Answer:
   17.8 cm
Step-by-step explanation:
In the 17 hours between heights of 18.6 cm and 15.2 cm, the candle lost 3.4 cm in height. That is, the height decreased at the rate of ...
   (-3.4 cm)/(17 h) = -0.2 cm/h
In the 4 hours between 12 hours and 16 hours of burning time, the candle will have changed its height by (4 h)(-0.2 cm/h) = -0.8 cm.
The height at 16 hours of burning is then 18.6 cm -0.8 cm = 17.8 cm.
 
        
             
        
        
        
Yeah what is the question