A consistent system has at least 1 solution, it could have more.
a consistent system that has exactly 1 solution, is an independent system.
a consistent system that has infinitely many solutions, namely, both equations are really the same equation in disguise, is a dependent system.
Answer:
4
Step-by-step explanation:
Please refer to the figure attached for the diagram of this problem.
Steps needed to find the width of the field (CD):
First, we should note that angle d would be equal to 27 degrees because there are two parallel lines that are cut by a transversal. Furthermore, angle a would be equal to 5 degrees since we just need to subtract 27 from 32.
We then subtract 27 and 5 from 180 to get angle c.

. Angle c is therefore 148 degrees.
Next, we need to find angle e which is just the supplementary of angle c. Angle e therefore measures

degrees.
For the next step we use sine law to find the length of segment AC:


Lastly, we need to utilize the sine law again to find the length of segment CD or the width of the field:

ANSWER: The width of the field is 290 ft.
Answer:
the very first one 8.62<8.623
Let f and s represent the weights of the first and second objects, respectively.
.. f - s = 200 . . . . . . . . the first is 200 lb heavier than the second
.. s = (1/3)f . . . . . . . . . . the second was 1/3 the weight of the first
In augmented matrix form, the equations can be written
.. f - s = 200
.. f - 3s = 0
The solution is
.. f = 300
.. s = 100
Their total weight is 400 lb, not enough to kill Mr. Boddy. The physics-loving professor is apparently innocent.