Answer:

Step-by-step explanation:
We can use the geometric mean theorem:
The altitude on the hypotenuse is the geometric mean of the two segments it creates.
In your triangle, the altitude is XY and the segments are VY and WY.

Method 1.
Look at the picture 1.
We have:

Picture 2.

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Method 2. (Picture 3)
ΔLOM and ΔMON are isosceles triangles. Therefore the two angles opposite the legs are equal.
The sum of the internal angles in each triangle is 180°. Thereofre in ΔLMN we have:


Answer: 1/6
Step-by-step explanation: Let the no of females be x
The no of males be 5x
The total no of males and females in the math course be 5x+x= 6x
The fraction of females is x/6x = 1/6