'Complement' = difference between an angle an 90 degrees.
'Supplement' = difference between an angle and 180 degrees.
Complement of A = 90 - A
Supplement of A = 180 - A
The problem says that the complement is 1/6 of the supplement, right ?
So <u> 90 - A = (1/6) x (180 - A)</u>
Multiply each side of this equation by 6 :
540 - 6 A = 180 - A
Subtract 180 from each side:
360 - 6 A = - A
Add 6A to each side :
360 = 5 A
Divide each side by 5 :
<u>A = 72°</u>
Answer:
Step-by-step explanation:
You will need to multiply and distribute out the equation.
Work = force * distance
1800 ft-lb = force * 15 ft
force = 1800 ft-lb / 15 ft
= 1800/15 ft-lb/ft
= 120 lbs
Answer:
-3 < x ≤ 1
Step-by-step explanation:
To our left, we have an unshaded circle at -3. This means that -3 is included in the possible value of x. And as such, we can say -3 < x.
To our right, we have a shaded circle at 1. This means 1 is included in the possible values of x. And as such, we can say x ≤ 1.
Thus, we can represent the two statements as one, thus:
-3 < x ≤ 1
