X, y, a, and b are positive integers. when x is divided by y, the remainder is 6. when a is divided by b, the remainder is 9. which of the following is not a possible value for y + b?

y + b > 15

Step-by-step explanation:

given data

positive integers = x, y, a, b

x divided by y then remainder = 6

a divided by b then remainder = 9

to find out

possible value for y + b

solution

we know that here when  x divided by y then remainder is 6

its mean y is greater than 6 and when a divided by b then remainder is 9

so its mean b is greater than 9

and we know remainder is less than divisor

so here y + b must be greater than = 6 + 9

y + b > 15

Answer and Step-by-step explanation:

Given that if a polygon is a square, then a polygon is a quadrilateral, we find the converse, inverse and contrapositive of this implicational statement. The hypothesis is the causative statement and the conclusion is the resultant effect

The converse of this statement is the reverse of its statements hence:

If a polygon is a quadrilateral then a polygon is a square

The inverse of this statement is the negation of the statements hence :

If a polygon is not a square then a polygon is not a quadrilateral

The contrapositive of the statement is the interchange of the hypothesis and conclusion of the inverse statement hence:

If a polygon is not a quadrilateral then a polygon is not a square