'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>
If you're not sure, begin by looking for any divisor that will divide into 24a^3c and 3a without leaving a remainder. Note that 3 is such a number, and a is another.
Factoring out 3a from 24a^3*c and 3a, we get 3a{8a^2*c, 1}
So the GCF is 3a.
The easiest way to solve this problem is to find the equation of the line joining these two points, then get the values of the points on this line.
We have first point (x1,y1) = (-3,4) and second point (x2,y2) = (1,1).
The equation of the line is y = mx + c
The slope (m) = (y2-y1) / (x2-x1) = (1-4) / (1--3) = -0.75
Then we will use one of these points to get the value of c as follows:
y = mx + c
1 = -0.75 (1) + c ..............> c = 1.75
The equation of this straight line is:
y = -0.75 x + 1.75
Now to get points on this line, we will assume values for either x or y and calculate the other as follows:
1- For x = 0:
y = -0.75 (0) + 1.75 = 1.75
point is (0,1.75)
2- For y = 0:
0 = -0.75 x + 1.75 ..............> x = 2.334
point is (2.334,0)
3- For x = 2:
y = -0.75(2) + 1.75 = 0.25
point is (2,0.25)
Answer:
9-1 or 1-9
Step-by-step - Explanation - He makes 9 jars every hour so look at the graph and find the answer above ^^^^^^^
