Carcass wrote:
Attachment:
cg.png
\(w > 45\)
Quantity A |
Quantity B |
m + n |
2m |
Attachment:
Z5.png
To get a better idea of what's going on here, let's see what happens when the angle is
EXACTLY 45 degreesAttachment:
Z1.png
If we drop a line from a point ON the line, we see we get an ISOSCELES RIGHT triangle.
This means that, for any point ON the line, ....
Attachment:
Z2.png
....
the x-coordinate and the y-coordinate will be EQUALSo, some other points on this line will look like this:
Attachment:
Z3.png
KEY CONCEPT: If w > 45, then the line will pass through the
red regionAttachment:
Z4.png
We already know that, for any point
ON THE BLUE LINE, the x-coordinate and the y-coordinate will be EQUALIf the
red region lies
ABOVE THE BLUE LINE, what important thing can we say about the coordinates of ANY point in the
red region???
We can say that, for any point in the
red region,
the y-coordinate will be greater than the x-coordinateSo, if w > 45, then we know that
n > mWe're now ready to answer the question...
Given:
Quantity A: m + n
Quantity B: 2m
Subtract m from both quantities to get:
Quantity A: n
Quantity B: m
Since we now know that
n > m, we can see that the correct answer is A
Cheers,
Brent
W>45. For example, it can be more than 90.
As a result, when W=100, A cannot be considered as a correct answer?! Because, there is no limitation on the range of W.