Use these abrevations for the properties of real numbers and complete the flow diagram can you me?

For the first bubble or circle to fill in, the answer is Cx. So you have the proper answer here. Nice work. The pq turns into qp by the commutative property of multiplication

The answer to the second bubble is Cx for similar reasons as before. Now we have xy turn into yx

The third bubble's answer is C+ (commutative property of addition) because qp+yx swaps to yx+qp

The answer for the fourth bubble is D. You are correct.

The answer for the last (fifth) bubble is Ax to indicate "associative property of multiplication". We are simply regrouping terms when multiplying

In summary the answers from left to right are: Cx, Cx, C+, D, Ax

the sum of the lengths of any two sides of a triangle is greater than the length of the third side. if you take the three sides of a triangle and add them in pairs, the sum is greater than (not equal to) the third side. if that is not true, then it is not possible to construct a triangle with the given side lengths.

step-by-step explanation: