Answer:
Step-by-step explanation:
<h3>To prove quadrilateral is a square:</h3>
a) Slope of CB
C(-3,-1) ; B = (0,3)
![\sf = \dfrac{3-[-1]}{0-[-3]}\\\\ =\dfrac{3+1}{0+3}\\\\ = \dfrac{4}{3}](https://tex.z-dn.net/?f=%5Csf%20%3D%20%5Cdfrac%7B3-%5B-1%5D%7D%7B0-%5B-3%5D%7D%5C%5C%5C%5C%20%3D%5Cdfrac%7B3%2B1%7D%7B0%2B3%7D%5C%5C%5C%5C%20%3D%20%5Cdfrac%7B4%7D%7B3%7D)
b) D(1,-4) ; A(4,0)
![Slope \ of \ DA = \dfrac{0-[-4]}{4-1}\\](https://tex.z-dn.net/?f=Slope%20%5C%20of%20%5C%20DA%20%3D%20%5Cdfrac%7B0-%5B-4%5D%7D%7B4-1%7D%5C%5C)
Slope of CB = slope of DA
c) C(-3,-1) ; D(1 , -4)
![\sf Slope \ of \ CD =\dfrac{-4-[-1]}{1-[-3]}](https://tex.z-dn.net/?f=%5Csf%20Slope%20%5C%20of%20%5C%20CD%20%3D%5Cdfrac%7B-4-%5B-1%5D%7D%7B1-%5B-3%5D%7D)
So, CD is perpendicular to CB
d) B(0,3) ; D(1,-4)
e) C(-3,-1) ; A(4,0)
![\sf Slope \ of \ CA = \dfrac{0-[-1]}{4-[-3]}\\](https://tex.z-dn.net/?f=%5Csf%20Slope%20%5C%20of%20%5C%20CA%20%3D%20%5Cdfrac%7B0-%5B-1%5D%7D%7B4-%5B-3%5D%7D%5C%5C)
So, CA is perpendicular to BD
Answer:
22%
Step-by-step explanation:
x/100 * 160=35
160x=3500
21.875
hence to the nearest percent: 22%
33 * 1/4 = 8.25
22 * 1/4 = 5.5
x = 5.5
scale factor = 1/4
Answer:
1) $101,400
2) $27,000
Step-by-step explanation:
1) For this, we can first find how much she makes in a year from her salary alone:
$2,200×12= $26400.
Now, she also received a commission of 2.5%, so we can take this percentage from 3 million to find the total from commission:
3,000,000×0.025= $75,000
Adding these two gives us a total of $101400.
2) We can use the Simple Interest Formula to solve this (I= Prt). Plug in the values given to give us:
I= 5000(1.08)(5)
I= $27000
X 0 1 2 ...
y -2 -9 -16...
(y) decreases by 7/<span> (x) increases by 1, so slope =-7,
y- int=-2
this is equation c) y=-7x-2</span>
