Is the following statement always, sometimes, or never true? “The supplement of an acute angle is an obtuse angle.” Explain your answer.

Always true

Step-by-step explanation:

"Acute" means "between 0 and 90 degrees," and "obtuse" "between 90 and 180 degrees.  Given an acute angle, we find the supplement by subtracting the acute angle from 180 degrees; the result is obtuse.

Always true.

b. astronomers

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)