<span>Answer:
Let x = degree measure of the angle
So, the complement of the angle has degree measure 90-x
4/11 = x/(90-x)
4(90-x) = 11x
360 - 4x = 11x
15x = 360
x = 24°
Supplement = 180 - x = 156° x/(180-x) = 24/156 = 2/13</span>

5 0

3 years ago

Lance measured 0.485 liters of water. Angel measured 0.5 liters of water. Lance said, "My beaker has more water than yours becau

Advocard [28]

Lance is not correct. Although his number does have more decimal places, his number is not greater. Angel has the greatest number in the most valued place, which is the tenths place in this case. We can understand this by knowing that 5>4. So, Angel has more water, and Lance is incorrect.

3 0

3 years ago

Esmeralda bought " p" pounds of peanuts at $3 per pound and " a" pounds of almonds at $6 per pound . write an algebraic expressi

Andru [333]

answer would be 3p+6a

8 0

3 years ago

Let $x$ be the positive number such that $2x^2 = 4x + 9.$

loris [4]

Solve for x. I'll do it by completing the square:

2x² = 4x + 9

2x² - 4x = 9

x² - 2x = 9/2

x² - 2x + 1 = 11/2

(x - 1)² = 11/2

x - 1 = ± √(11/2)

x = 1 ± √(11/2)

x = 1 ± √22/2

x = (2 ± √22)/2

Take the solution with the positive square root. Then it follows that a = c = 2 and b = 22. So a + b + c = 26.

4 0

2 years ago