Answer:
8. c. (-1, -1)
9. a. (-6, -1)
b. True
Step-by-step Explanation:
8. Given the midpoint M(2, 4), and one endpoint D(5, 7) of segment CD, the coordinate pair of the other endpoint C, can be calculated as follows:
let 


Rewrite the equation to find the coordinates of C
 and
 and 
Solve for each:












Coordinates of endpoint C is (-1, 1)
9. a.Given segment AB, with midpoint M(-4, -5), and endpoint A(-2, -9), find endpoint B as follows:
let 


 and
 and 
Solve for each:












Coordinates of endpoint B is (-6, -1)
b. The midpoint of a segment, is the middle of the segment. It divides the segment into two equal parts. The answer is TRUE.
 
        
             
        
        
        
Step-by-step answer:
This is a regular heptagon, means it has 7 <em>congruent</em> sides and 7 <em>congruent </em>vertex angles.
To work with polygons, there is a very important piece of information that you must know to solve the majority of related problems.
This is:
sum of exterior angles of polygons = 360 degrees.
If you don't remember the 360 degrees, think of the sum of exterior angles of an equilateral triangle, which is 3*(180-60)=3*120=360!  It works!
For a regular heptagon, c = 360/7=51.43 degrees approx.
This means that each vertex angle measures 
vertex angle = 180-c
So since 2d+the vertex angle = 360, we have
2d+(180-c)=360
solve for d:
2d=360-(180-c)=180+c 
d=(180+c)/2=90+c/2=115.71 degrees. (approx.)
 
        
             
        
        
        
Answer:
y = 3x
Step-by-step explanation:
x is number of cartons of eggs
y is cost
cost increases by 3 for every carton of eggs, so slope is 3
x and y intercepts are zero because there is no cost when there are no eggs
equation: y = 3x
 
        
                    
             
        
        
        
He is wrong...
2 1/2 + 3 3/5 = 97/20
Simplified, I believe the answer is 4 17/20