Decide if the converse is true for the following true conditional statement: "if i am in my kitchen, then i am at home." if it is true, choose a valid biconditional statement

The given statement is "If I am in my kitchen, then I am at home"

The converse of this is "If I am at home, then I am in the kitchen"

The given statement is true because the kitchen can only be at home and not anywhere else

The converse is NOT TRUE because at home you can be in the kitchen, bed room, bath room, the living room, the dining room, in the garage or in the garden. It does not mean that one has to be in the kitchen when one is at home.

step-by-step explanation:

10.50 + taxes which added up to 11.50

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240