Answer:
C. Reflexive property
Step-by-step explanation:
When a line segment is congruent or the same as itself, it is considered to have a property known as reflexive property.
This means line segment CE is a mirror image of itself. Therefore, line segment CE is congruent to line segment CE.
Line segment CE is what divides the figure given into two equal halves, making both parts congruent to each other.
We will simplify the left hand side of the equation to look like the right
![\displaystyle \frac{1-sin(t)}{cos^{2}(t)} + \frac{1}{1 - sin(t)}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7B1-sin%28t%29%7D%7Bcos%5E%7B2%7D%28t%29%7D%20%20%2B%20%5Cfrac%7B1%7D%7B1%20-%20sin%28t%29%7D)
taking the LCM
![\displaystyle \frac{[1-sin(t)]^{2} + cos^{2}(t)}{[cos^{2}(t)][1 - sin(t)]}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7B%5B1-sin%28t%29%5D%5E%7B2%7D%20%2B%20cos%5E%7B2%7D%28t%29%7D%7B%5Bcos%5E%7B2%7D%28t%29%5D%5B1%20-%20sin%28t%29%5D%7D)
expanding the binomial in the numerator
![\displaystyle \frac{[1 + sin^{2}(t) - 2sin(t) + cos^{2}(t)]}{[cos^{2}(t)][1 - sin(t)]}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7B%5B1%20%2B%20sin%5E%7B2%7D%28t%29%20-%202sin%28t%29%20%2B%20cos%5E%7B2%7D%28t%29%5D%7D%7B%5Bcos%5E%7B2%7D%28t%29%5D%5B1%20-%20sin%28t%29%5D%7D)
Since sin²x + cos²x = 1
![\displaystyle \frac{[2 - 2sin(t)]}{[cos^{2}(t)][1 - sin(t)]}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7B%5B2%20-%202sin%28t%29%5D%7D%7B%5Bcos%5E%7B2%7D%28t%29%5D%5B1%20-%20sin%28t%29%5D%7D)
factoring out the 2 from the numerator
![\displaystyle \frac{2[1 - sin(t)]}{[cos^{2}(t)][1 - sin(t)]}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7B2%5B1%20-%20sin%28t%29%5D%7D%7B%5Bcos%5E%7B2%7D%28t%29%5D%5B1%20-%20sin%28t%29%5D%7D)
1-sin(t) will cancel out
![\displaystyle \frac{2}{cos^{2}(t)}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7B2%7D%7Bcos%5E%7B2%7D%28t%29%7D)
since cos²(t) = 1/(sec²(t))
![2 sec^{2}(t)](https://tex.z-dn.net/?f=2%20sec%5E%7B2%7D%28t%29)
which is equal to the right hand side of our given equation.
So we verified the identity!
Answer:
1)20 000 000×12cm
240 000 000/100m
240 000 0/1000
2400km
31.6--1580×100×1000
31.6--1580 00 000
31.6/31.6--1580 00 000/31.6
1:5000000
Answer:
y = x - 9
Step-by-step explanation:
Find the slope of the first line.
(-9 + 5)/(5 + 9)
-1
Lines perpendicular have opposite reciprocal slopes
1
Find the middle point of the first line, this is where it will intersect with the bisector.
5 + - 9/2 = 2
-5 + -9/2 = -7
(2,-7) is the midpoint
Use Point Slope Form to reduce it to Standard Form
y + 7 = 1(x - 2)
y + 7 = x - 2
y = x - 9
the answer is in the picture