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Step-by-step explanation:

The perimeter of a rectangle is given by the formula:

Where l is the length and w is the width.

We know that the perimeter is 80. Looking at the rectangle, we can also see that the length is 2x+3 while the width is x-2. Thus, make the substitutions:

Distribute:

Combine like terms and add:

Subtract 2 from both sides:

Divide both side by 6:

Thus, the value of x is 13.

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y = 2x

step-by-step explanation:

if you divide each number in the sequence, you'll see that they all have a multiple factor of 2. each number in the series, and any other numbers which may continue, will be multiplied by 2. therefore, y is the next number in the sequence, and x is the current one, so, our formula will be y = 2x.