A regular polygon of "n" sides has "n" Lines of Symmetry
so a regular 32 sided polygon has 32 lines of symmetry
Compare the slopes of each line<span>. Remember, when two </span>lines are parallel<span> to each other, they will have the exact same slope. Using the equation y = mx + b where m is the slope of the </span>line<span>, you can </span>identify<span> and compare the slopes of two </span>lines<span>.</span>
The hypotenuse can be solved by this formula. X^2 = 6^2 +6^2
X^2=64
Usually you cut it down to 8 but it wants the squared form so 64.
Answer:
(13, -3)
Step-by-step explanation:
slope = -5/7
(6,2)
m = ( y2 - y1) / ( x2 - x1 )
-5/7 = ( y2 - 2) / ( x2 - 6 )
-5 = y2 -2
+2 +2
-3 = y2
7 = x2 - 6
+6 +6
13 = x2
Check answer again by log them in:
m = ( y2 - y1 ) / ( x2 - x1 )
m = ( -3 - 2 ) / ( 13 - 6 )
m = -5 / 7
I hope this helps!
Step-by-step explanation:
i) ![\overline{AB} = \sqrt{(x_A - x_B)^2 + (y_A - y_B)^2}](https://tex.z-dn.net/?f=%5Coverline%7BAB%7D%20%3D%20%5Csqrt%7B%28x_A%20-%20x_B%29%5E2%20%2B%20%28y_A%20-%20y_B%29%5E2%7D)
![\:\:\:\:\:\:\:=\sqrt{(2)^2 + (12)^2} = 12.3](https://tex.z-dn.net/?f=%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%3D%5Csqrt%7B%282%29%5E2%20%2B%20%2812%29%5E2%7D%20%3D%2012.3)
ii) ![m = \dfrac{y_A - y_B}{x_A - x_B} = \dfrac{-12}{2} = -6](https://tex.z-dn.net/?f=m%20%3D%20%5Cdfrac%7By_A%20-%20y_B%7D%7Bx_A%20-%20x_B%7D%20%3D%20%5Cdfrac%7B-12%7D%7B2%7D%20%3D%20-6)
iii) ![(\overline{x},\:\overline{y}) = \left(\dfrac{x_A + x_B}{2},\:\dfrac{y_A + y_B}{2}\right)](https://tex.z-dn.net/?f=%28%5Coverline%7Bx%7D%2C%5C%3A%5Coverline%7By%7D%29%20%3D%20%5Cleft%28%5Cdfrac%7Bx_A%20%2B%20x_B%7D%7B2%7D%2C%5C%3A%5Cdfrac%7By_A%20%2B%20y_B%7D%7B2%7D%5Cright%29)
![\:\:\:\:\:\:\:=(3,\:-2)](https://tex.z-dn.net/?f=%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%3D%283%2C%5C%3A-2%29)