Answer:
See below in bold.
Step-by-step explanation:
Let the length of the shortest side be x, then the longest side = 2x.
Also  x + y = 2x  + 1   where y = length of the middle side,
Simplifying:
2x - x - y = -1
x - y = -1        (A)
 Also as the perimeter = 7:
x + 2x + y = 7
3x + y = 7       (B)
Adding (A) and (B):
4x + 0 = 6
x = 6/4 = 1.5
Plug x = 1.5 into equation B:
3(1.5) + y = 7
y = 7 - 4.5 = 2.5.
Answer:
So the shortest side = 1.5, middle = 2.5 and longest = 2*1.5 = 3.
 
        
             
        
        
        
Supposse that the distance from the point  to the point
 to the point  is equal to the distance from
 is equal to the distance from   to the point
 to the point  . Then, by the formula of the distnace we must have
. Then, by the formula of the distnace we must have

cancel the square root and the  's, and then expand the parenthesis to obtain
's, and then expand the parenthesis to obtain

then, simplifying we obtain

therfore we must have

this means that the points satisfying the propertie must have first component equal to 5. So we can give a lot of examples of such points:  . The set of this points give us a straight line and the points (3,0) and (7,0) are symmetric with respect to this line.
. The set of this points give us a straight line and the points (3,0) and (7,0) are symmetric with respect to this line.
 
        
             
        
        
        
Answer:
m=1
Step-by-step explanation:
y= x + 14
This equation is in slope intercept form
y = mx+b where m is the slope and b is the y intercept
The slope for the line is 1
Parallel lines have the same slope
m=1
 
        
             
        
        
        
Let the angle be x.
Hence, its complement is 90 - x.
x = 3* (90 - x) - 70 = 270 - 3x - 70 = 200 - 3x
4x = 200
x = 50
Thus, the angle is 50°.