(-4,3) original point
(-4,-3) reflect over x axis
(3,4) 90 clockwise
(-8,6) left/up
One function you would be trying to minimize is
<span>f(x, y, z) = d² = (x - 4)² + y² + (z + 5)² </span>
<span>Your values for x, y, z, and λ would be correct, but </span>
<span>d² = (20/3 - 4)² + (8/3)² + (-7/3 + 5)² </span>
<span>d² = (8/3)² + (8/3)² + (8/3)² </span>
<span>d² = 64/3 </span>
<span>d = 8/sqrt(3) = 8sqrt(3)/3</span>
16 lines of symmetry. Hope this helps! - Apex
The exterior angle theorem states that the measure of each exterior angle of a triangle is equal to the sum of the opposite and non-adjacent interior angles.
In the given problem, x represents the exterior angle, while the m < 65° and m < 48° are the non-adjacent interior angles.
To find the value of x:
65° + 48° = x
113° = x
Therefore, the value of x = 113°