Triangles ABC and ADE are similar triangles. That means the sides are all scaled by the same factor.
To go from side BC to side DE, you multiply by 1.25. That means 1.25 is your scale factor. Now apply that factor to the bottom side to get your answer.
Side AB is 6. That means side AD is 6 x 1.25 = 7.5. That means x = 7.5 - 6 = 1.5
        
             
        
        
        
Answer:
2x + 1 = 15
Step-by-step explanation:
 
        
                    
             
        
        
        
Answer:
see below
Step-by-step explanation:
 (3x+1)/2<−x+4
Multiply each side by 2 using the multiplication property of equality
3x+1 < -2x +8
Subtract 1 from each side using the subtraction property of equality
3x < -2x+7
Add 2x to each side using the addition property of equality
5x < 7
Divide each side by 5 using the division property of equality
x < 7/5
 
        
                    
             
        
        
        
Answer:
4/25
Step-by-step explanation:
12 divided by 3
72 divided by 3
Greatest Common Divisor: 
3
So 12/72 simplifed would be 4/25 and the GCD would be 3.
 
        
             
        
        
        
Answer: x = 23 and y = 13
Explanation:
let x and y be the two number.
Where:
(x + y)/2 = 18 => x + y = 18 x 2 = 36
and:
x - y = 10 
Thus we get:
x + y = 36 (1)
x - y = 10 (2)
Add (1) and (2):
x + y + x - y = 36 + 10
2x = 46
x = 23
If x = 23 
then x - y = 10
23 - y = 10 
-y = -13
y = 13