Answer:
HL
Step-by-step explanation:
Since we have two pairs of congruent sides with the included angle, one pair of which are the hypotenuses, then the triangles are congruent by HL.
Answer:
Part I: cot(15 degrees) = cot(45 - 30)
Part II: Evaluation is below
Step-by-step explanation:
<em>Everything is done in degrees</em>
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Two angles that differ by 15 degrees that is easy to evaluate is 30 degrees and 45 degrees. The cot(15 degrees) = cot(45 - 30) = 1/tan(45-30) = (1+tan45tan30)/(tan30 - tan45) = (1+ sqrt(3))/(sqrt(3) - 1)
We rationalize this by multiplying 1+ sqrt(3) in the top and bottom, getting:
(4 + 2sqrt(3))/2 = 2 + sqrt(3)
I hope this helps! :)
Answer:
Affects
Step-by-step explanation:
Consider point (2,-1).
1. Reflect it in the line y=x, then the image point will have coordinates (-1,2). Now reflect it in the x-axis, then the image point will have coordinates (-1,-2).
2. Reflect the point (2,-1) in the x-axis. Its image is point (2,1). Reflect this point in the line y=x, then its image will be point (1,2).
Since images in 1st case and 2nd case differ, the order affects the final image.
