Answer:
140
Step-by-step explanation:
I think you mean "lowest common denominator" where you use the word "benchmark."
The LCD of 3/7 and 16/20 is 140; 140 is the smallest number evenly divisible by both 7 and 20.
Then 3/7 → 60/140 and 16/20 → 112/140. 112/140 is between 1/2 and 1.
Answer:
<em>-90 degrees</em>
Step-by-step explanation:
Draw a segment from the origin, point O, to point R. Draw a segment from the origin, point O, to point R'. The angle of rotation is the angle between segments OR and OR'.
The slope of segment OR is 2/3.
The slope of segment OR' is -3/2.
The slopes are negative reciprocals, so the segments are perpendicular.
The angle between the segments is 90 degrees. The rotation is counterclockwise, so it is a negative number of degrees.
The angle of rotation is -90 degrees.