Answer:
He used 17/3 feet = 5 and 2/3 feet
Step-by-step explanation:
∵ He bought 9 and 1/3 feet = 28/3 feet
∵ He had 3 and 2/3 feet left = 11/3 feet
∴ He used = 28/3 - 11/3 = 17/3 feet = 5 and 2/3 feet
2x + 7 ≤ 3x - 5
Start by keeping the variable x on the left side of the inequality, and move everything else to the right side.
We can do this by subtracting 3x from both sides and subtracting 7 from both sides.
-x ≤ -12
Divide both sides by -1 to make x a positive; when dividing by a negative number you will flip the inequality sign, so ≤ becomes ≥.
x ≥ 12
Possible solutions for x are any number equal to or greater than 12.
The sum of all interior angles in a triangle is 180°.
m∠q + m∠r + m∠s = 180°
1x + 3x + 6x = 180
10x = 180
x = 180/10
x = 18
m∠q = (1x)° = 1 x 18 = 18°
m∠ r = (3x)° = 3 x 18 = 54°
m∠s = (6x)° = 6 x 18 = 108°
m∠s is the obtuse angle because its measure is more than 90°. Its angle measures 108°
