Answer:

Step-by-step explanation:
The point-slope form of an equation of a line:

m - slope
(x₁, y₁) - point
The formula of a slope:

From the table we have the points (-10, 8) and (10, 4). Substitute:

The equation of a line:

 
        
                    
             
        
        
        
Answer: 16 men
32 women
38 children
Step-by-step explanation:
Let x represent the number of men in the group.
Let y represent the number if women in the group.
Let z represent the number of children in the group.
A group of 86 people consist of men women and children. This means that 
x + y + z = 86 - - - - - - - - - - - - 1
There are twice as many women than there are men. It means that 
x = y/2
There are 6 more children than there are women. This means that
z = y + 6
Substituting x = y/2 and z = y + 6 into equation 1, it becomes
y/2 + y + y + 6 = 86
 multiplying through by 2, it becomes
y + 2y + 2y + 12 = 172
5y = 172 - 12 = 160
y = 160/5 = 32
x = y/2 = 32/2
x = 16
z = y + 6 = 32 + 6
z = 38
 
        
             
        
        
        
Answer: 6 feet to 8 feet
Step-by-step explanation: 6x4=24 8x6=48
 
        
                    
             
        
        
        
If the two triangles are similar you can use a proportion to solve for the length of the legs.

=

Now, you would cross multiply to get 
4x=18
Now, you simplify that using the division property of equality.
You end up with 
x=4.5
Therefore, the legs of the triangle with a base of 9 inches will each be 4.5 units long.