Answer:
x=6
Step-by-step explanation:
/AB/=2x+12
/BC/=5x+10
3x+2=5x-10 subtract 2 from both sides
3x=5x-12 subtract 5x from both sides
-2x=-12 divide both sides by -2x
x =6
One solution because when you switch the - to the other side it will be positive which will equal one and make it one solution.
Perimeter of 1 tablecloth = 3+3+2+2= 10
Total fringe needed = 10x3 = 30 meters
EXPLANATION
The consecutive even numbers are

EXPLANATION
Let

be the first even number then, the next even number will be,

The difference of one-half the larger one and two-fifth the smaller one is 38 gives the equation,

We multiply through with an LCM of 10 to get,

This simplifies to,

We expand the brackets to get,

We group like terms to get,

This simplifies to

Therefore the next even number is is