Find a counterexample to show that the given conjecture is false: The sum of two positive even integers is always an odd integer.

20 + 16 = 36

Step-by-step explanation:

The conjecture: "The sum of two positive even integers is always an odd integer" can be easily be proven false with a counterexample.

Pick A=20 and B=16, both are positive even integers.

The sum of both A + B = 36 is an even integer. This is a counterexample because being even is the contrary of being odd.

Counterexample: 20 + 16 = 36

In fact, the conjecture is always false, since there cannot be found any pair of positive integers whose sum is odd.

Other possible counterexamples are:

10 + 8, 700 + 40, 12 + 14, etc.

56.6

step-by-step explanation:

the ratio of the perimeters is equal to the scale.

the ratio of the areas is equal to the square of the scale.

34 / 20 = k

a / 19.6 = k²

substituting:

a / 19.6 = (34 / 20)²

a = 19.6 (34 / 20)²

a ≈ 56.6

step-by-step explanation: