If a polygon is a regular pentagon, then it has 5 sides.

state the converse of the conditional statement and determine whether it is true or false

 The converse is "If a polygon has 5 sides, then it is a regular pentagon" and it is FALSE.

Step-by-step explanation:  We are given to state the converse of the following conditional statement and to determine whether it is true or false :

"If a polygon is a regular pentagon, then it has 5 sides".

We know that

the converse of a conditional statement "p ⇒ q" is given by "q ⇒ p".

Therefore, the CONVERSE of given conditional statement is

"If a polygon has 5 sides, then it is a regular pentagon".

The converse is not true, because if a polygon has 5 sides, then it is a pentagon, not necessarily a regular pentagon.

Thus, the converse is "If a polygon has 5 sides, then it is a regular pentagon" and it is FALSE.

the formula of a slope:

from a table we have

substitute:

the slope of f(x) is -1.

the graph of funcfion g(x) is a horizontal line. the slope of a horizontal line is equal 0. therefore the slope of g(x) is 0.

-1 < 0

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet