Explain how the AAS congruence theorem is an extension of the ASA congruence theorem. Be sure to discuss the information you would need for each theorem.

ASA congruence theorem: If two angles and the included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent.

Step-by-step explanation:

I just did that one

The equation is 6 × (x + 1) = 2 × (x + x + 1)

The integers are negative (-5, -4, -3)

Step-by-step explanation:

The numbers Chloe is trying to find = Three consecutive positive integers

The nature of the numbers Chloe is trying to find = The product of 6 and the largest of the three numbers = 2 × The sum of the two smaller integers

To set up the equation, we proceed as follows;

Let the three numbers be x, x + 1, x + 2

Therefore, the equation is given as follows;

6 × (x + 1) = 2 × (x + x + 1)

We simplify, to get;

6·x + 12 = 2·x + 2·x + 2

6·x + 12 = 4·x + 2

6·x + 4·x  = 2 - 12

2·x  = -10

x = -10/2 = -5

The integers are;

-5, -4, -3