Sum of two angles that are supplementary = 180°
Let the smaller angle be = x


<h3>Their sum :</h3>






Using this let us find the measures of the smaller angle and bigger angle .


∴ The measure of the two angles are = 21° and 159° .
Answer:
????
Step-by-step explanation:
number 1 could be 2 different answers
Answer:
80π
Step-by-step explanation:
Circle O with radius IO:
large radius = IO = 12 = R
Circle O with diameter JK
IJ = JK = KL = 2 × IO = 24
IJ = JK = KL = 24/3 = 8
small radius = 8/2 = 4 = r
The shaded area is a semicircle of radius 12 minus a semicircle of radius 4 plus two semicircles of radius 4.
That is the same as
1 semicircle of radius 12 plus 1 semicircle of radius 4
A = πR²/2 + πr²/2
A = π(12² + 4²)/2
A = 160π/2
A = 80π
Answer:
570 m³
Step-by-step explanation:
The volume of water is the product of flow rate of water and the time taken. We are to get the volume of water used between 6 am and 9 am, that is for 3 hours (9 - 6).
We are given the flow rate at 6 am and the flow rate at 9 am, but this flow rate changes between 6 am and 9 am. To get the estimate of the water used, Let us assume that it flows at the same flow rate as it was at 6 am throughout, hence:

Also, let us assume that it flows at the same flow rate as it was at 9 am throughout, hence:

To get the best estimate of the total volume, let us find the average of the two values, hence:

7/12 because it would come out to be 21/36, and the simplified version of that is 7/12<span />