Answer:
The perimeter of the Rectangle JKLM is 32 unit.
Step-by-step explanation:
Consider the provided coordinates.
Rectangle JKLM: J(-3, 8), K(-3,-1), L(4, -1), M(4,8)
First plot the points as shown in figure:
The required figure is shown below:
Now find the distance between JK by using the distance formula.


Therefore, the length of JK is 9 unit.
Now find the length of the side JM

Therefore, the length of JM is 7 unit.
The perimeter of rectangle is: 
Therefore,



Hence, the perimeter of the Rectangle JKLM is 32 unit.
Answer:
The measure of angle x is 115 degrees
Step-by-step explanation:
Supplementary angles are angles which, when added together, equal 180 degrees. So, subtracting 65 from 180 would get you the answer(115).
Considering the ballon to be spherical
It's volume is given by 4/3(π r^3) by differentiating volume with respect to time we get rate of change of volume hence,
4πr^2(dr/dt)=600÷60=10
Substituting r=30cm
4π(30)*(30)(dr/dt)=10
dr/dt=rate of increase in bullion's radius=1/(360π)cm/s
To find the density of the stone divide the mass by the volume:
Density of stone = 100 grams / 10 ml = 10g/ml
Since the density of the stone is more than the density of the water, it will sink.