Answer:
6 inches 
Step-by-step explanation:
The perimeter of a triangle is a + b + c
Where, a, b, c are the length of the 3 sides of the triangle ;
Using the ruler ;
a = 1.5 
b = 2 
c = 2.5 
Therefore, 
a + b + c
1.5 + 2 + 2.5 
= 6 in
 
        
                    
             
        
        
        
The slopes of two parallel lines must be identical.
We have slope 

, so the slope for the parallel line be the same.
Now, to find an equation that also passes through the given point, we use slope-point form, 

, where our point 

 is substituted for 

.

Now, we convert to slope-intercept form as such.

And we are done. :) We can verify graphically that these are indeed parallel lines. See attached.
 
        
        
        
Answer: 26 years.
Step-by-step explanation:
Let x = current age of Louise  (in years).
Then current  age of James =  x+6
Eight years from now, James's age = x+6+8= x+14
4 years ago, Louise's age = x-4
According to the question
x+14 = 4(x-4)
⇒ x+14 = 4x-16
⇒ 4x-x = 16+14
⇒ 3x = 30
⇒ x= 10 = current age of Louise  (in years).
current  age of James =  10+6 = 16 years
Sum of current ages = 16+10=26 years.
hence, the sum of the current ages is 26 years.
 
        
             
        
        
        
Answer:
x = 6
Step-by-step explanation:
We have to make the bottom eqivilent to the top.
10 + 30 = 40
5 x 6 = 30
10 + 30 = 40