Two supplementary angles equal 180 degrees when added together.
180 - 163 = 17
the other angle would be 17 degrees
Answer:
1/4:1/5
Step-by-step explanation:
Answer:
It is even clearer if we put it in the chart
Answer:
It will take the smaller pipe 12 hours working alone
Step-by-step explanation:
In this question, we are asked to calculate the time it will take for a smaller pipe when working alone to fill a tank if the rate at which a larger one fills the tank is given and the rate at which they both fill when working together is given.
First, let’s represent the the volume to fill with say x cubic feet
When working together, their rate would be x/4
Now, the larger pipe can fill the tank in 6 hours less time. Let’s say the time taken for the smaller y, for the bigger, it definitely would be y-6
Hence rate of bigger will be x/(y-6)
For the smaller, the rate will be x/y
Now when we add both rates together, we have x/4 total rate for both
Let’s do tihis;
x/y + x/(y-6) = x/4
X(1/y + 1/y-6) = x(1/4)
1/y + 1/(y-6) = 1/4
y-6+y/(y(y-6) = 1/4
2y-6/y(y-6) = 1/4
Cross multiply;
4(2y-6) = y(y-6)
8y-24 = y^2 -6y
y^2 -6y -8y+24 = 0
y^2 -14y +24 = 0
y^2 - 2y-12y+24 = 0
y(y-2)-12(y-2) = 0
(y-12)(y-2) = 0
y = 12 or 2
y cannot be 2 because since it take the bigger 6 hours less, 2-6 = -4 is not possible as hours cannot be negative
80 + 70 + x + 2x = 360
150 + 3x = 360
3x = 210
x = 70
Angle Q = 70
2(70)
Angle R = 140
