The lengths of two sides of a triangle are shown. Side 1: 8x2 − 5x − 2

Side 2: 7x − x2 + 3

The perimeter of the triangle is 4x3 − 3x2 + 2x − 6.

Part A: What is the total length of the two sides, 1 and 2, of the triangle? Show your work. (4 points)

Part B: What is the length of the third side of the triangle? Show your work. (4 points)

Part C: Do the answers for Part A and Part B show that the polynomials are closed under addition and subtraction? Justify your answer. (2 points)

I hardly ever use this app, or any app like this, but this question has really got me, help please?

Part A)

Part B)

Part C)

Yes, they are.

Step-by-step explanation:

We are given a triangle and its two sides:

We are also given its perimeter:

Part A)

To find the total length of the two sides of the triangle, we can add them. So:

Combine like terms:

Compute. Hence, the total length of the two sides are:

Part B)

To find the length of the third side, we will subtract the length of the T sides from the perimeter. So:

Substitute:

First, distribute the negative:

Combine like terms:

Compute. Hence, the third side is:

Part C)

Yes, Part A and Part B indeed show that polynomials are closed under addition and subtraction.

In Part A, when we added, the variables stayed the same and the result is a polynomial.

In Part B, when we subtracted, the variables stayed the same and the result is a polynomial.

Hence, polynomials are closed under addition and subtraction.

angle addition postulate

2x=56

step-by-step explanation:

∠cbe and ∠deb are same-side interior angles.

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