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its 110 degrees

Step-by-step explanation:

It is a linear pair. Therefore, 180-70 give you 110 degrees

measurement of angle Q=60 degrees

Step-by-step explanation:

Because the two lines are parallel, you can assume that the intersecting lines have vertical angles. So, the 70 degree angle is equal to angle R, and the 50 degree angle is equal to the angle to the left of angle Q. 50+70=120, and 180-120=60 because angle Q, R, and the angle to the left of angle Q, added together is equal to a straight angle, or 180 degrees.

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)