What is the measure of each interior angle of a regular 20- hon?

162°

Step-by-step explanation:

To find the measure of an interior angle in a regular n-gon, we use the formula:

(n - 2)(180) / n

We substitute 20 in for n to get:

(20 - 2)(180) / 20

And simplify:

(18)(180) / 20

(18)(9)

162°

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step-by-step explanation:

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answer is 8x+24

area of vanessa's patio = length × width

given, length = (3x² + 5x + 10)

width = (x² - 3x - 1)

area of vanessa's patio = (3x² + 5x + 10)(x² - 3x - 1)

= 3x²(x² - 3x - 1) + 5x(x² - 3x - 1) + 10(x² - 3x - 1)

= 3x⁴ - 9x³ - 3x² + 5x³ - 15x² - 5x + 10x² - 30x - 10

= 3x⁴ - 4x³ - 8x² - 35x - 10

hence, expression of vanessa's patio = (3x⁴ - 4x³ - 8x² - 35x - 10)