angle 1 and angle 2 are vertical angles. if m angle 1 =(17x+1)^ and m angle 2 =(20x-14)^ ,find m angle 2

∠ 2 = 86°

Step-by-step explanation:

Vertical angles are congruent, thus equating gives

20x - 14 = 17x + 1 ( subtract 17x from both sides )

3x - 14 = 1 ( add 14 to both sides )

3x = 15 ( divide both sides by 3 )

x = 5

Thus

∠ 2 = 20x - 14 = 20(5) - 14 = 100 - 14 = 86°

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)