A line segment has endpoints at (-4,-6) and (-6,4). Which reflection will produce an image with endpoints at (4,-6) and (6,4)?
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<u>Answer:</u>
The ratio of the complement of x to the supplement of x is 2:5. The value of x is 30
<u>Solution:</u>
It is given that x represents the measurement of an acute angle in degrees. It is also given that the ratio of the complement of x to the supplement of x is 2:5.
Since it is given that x is an acute angle it means that it has to be less than 90.
Complement of an angle = 90 - x
Supplement of an angle = 180 - x
In this case it is given that the ratio of the complement of x to the supplement of x is 2:5
So we can write the relation as follows:
Therefore the value of x is 30.