Answer:
10. 1/9
11. 1 1/6
12. 1/8
Step-by-step explanation:
10.
He spent 2/3 of 1/6 of the day.
In math, "of" means multiplication, so 2/3 of 1/6 means 2/3 * 1/6.
2/3 * 1/6 = 2/18 = 1/9
He spent 1/9 of the day adding mulch.
11.
He spent 2/3 of 1 3/4 hours.
In math, "of" means multiplication, so 2/3 of 1 3/4 means 2/3 * 1 3/4.
2/3 * 1 3/4 = 2/3 * 7/4 = 14/12 = 7/6 = 1 1/6
He spent 1 1/6 hours working on the project.
12.
She planted 1/6 of 3/4 of the area.
In math, "of" means multiplication, so 1/6 of 3/4 means 1/6 * 3/4.
1/6 * 3/4 = 3/24 = 1/8
She planted carrots in 1/8 of the garden.
The square root of 343 is 18.520 or 18.52 or also 18
Sorry the question you typed is kinda messy. But I see you have typed “23* 26” I’m gonna assume you’re asking which postulate or theorem is angle 2 and angle 3, and angle 2 and angle 6. So angle 2 and 3 are vertical angles. Angle 2 and 6 are corresponding angles. If that wasn’t what you wanted, please let me know in the comments so I can understand your problem clearly and solve it.
20.09 → only one with decimal in the hundreds, not tens
<span>Simplifying
3x2 + -6x + c = 0
Reorder the terms:
c + -6x + 3x2 = 0
Solving
c + -6x + 3x2 = 0
Solving for variable 'c'.
Move all terms containing c to the left, all other terms to the right.
Add '6x' to each side of the equation.
c + -6x + 6x + 3x2 = 0 + 6x
Combine like terms: -6x + 6x = 0
c + 0 + 3x2 = 0 + 6x
c + 3x2 = 0 + 6x
Remove the zero:
c + 3x2 = 6x
Add '-3x2' to each side of the equation.
c + 3x2 + -3x2 = 6x + -3x2
Combine like terms: 3x2 + -3x2 = 0
c + 0 = 6x + -3x2
c = 6x + -3x2
Simplifying
c = 6x + -3x<span>2</span></span>
