Hi!
The sum of all angles on a line is 180 degrees.
y = 180 - 2x
Hope this helps!
Answer:
They are equidistant from origin.
Step-by-step explanation:
Rectangle LMNO is rotated 90° clockwise around the origin to create rectangle L'M'N'O'. Which statement would best describe the relationship between points N and N'?
They are equidistant from origin.
They are midpoints of segment ON and segment O prime N prime.
They are equidistant from point O.
They are midpoints of segment LN and segment L prime N prime.
Answer: If a point with location N(x, y) is rotated 90° clockwise around the origin, the new coordinate N' is at (y, -x). The distance of the two points from the origin O(0, 0) can be calculated using:
![ON=\sqrt{(y-0)^2+(x-0)^2}=\sqrt{y^2+x^2}\\ \\ON'=\sqrt{(y-0)^2+(-x-0)^2}=\sqrt{y^2+x^2}](https://tex.z-dn.net/?f=ON%3D%5Csqrt%7B%28y-0%29%5E2%2B%28x-0%29%5E2%7D%3D%5Csqrt%7By%5E2%2Bx%5E2%7D%5C%5C%20%20%5C%5CON%27%3D%5Csqrt%7B%28y-0%29%5E2%2B%28-x-0%29%5E2%7D%3D%5Csqrt%7By%5E2%2Bx%5E2%7D)
Therefore ON = ON'. The points N and N'are equidistant from the orign
X+21/2 is the answer i got.