#7 1 & 2, 3&4, 5&6, 7&8.
#8 1&4, 3&2, 5&8, 7&6. (choose two pairs)
#9 Alternate interior angles.
#10 Interior angles, I believe.
#11 30 degrees
#12 150 degrees
#13 110 degrees
#14 60 degrees
#15 x = 26; BGH = 78 degrees
#16 x = 26; GHD = 102 degrees
Hope that helps!
Answer:
![\large\boxed{-4\dfrac{7}{8}=-4.875}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7B-4%5Cdfrac%7B7%7D%7B8%7D%3D-4.875%7D)
Step-by-step explanation:
To add two fractions, they must have the same denominator.
LCD = 8
![1\dfrac{1}{4}=1\dfrac{1\cdot2}{4\cdot2}=1\dfrac{2}{8}](https://tex.z-dn.net/?f=1%5Cdfrac%7B1%7D%7B4%7D%3D1%5Cdfrac%7B1%5Ccdot2%7D%7B4%5Ccdot2%7D%3D1%5Cdfrac%7B2%7D%7B8%7D)
![-6\dfrac{1}{8}+1\dfrac{1}{4}=-6\dfrac{1}{8}+1\dfrac{2}{8}=-\left(6\dfrac{1}{8}-1\dfrac{2}{8}\right)=(*)\\\\\text{We know}\ 1=\dfrac{8}{8},\ 6=5+1=5+\dfrac{8}{8}=5\dfrac{8}{8}.\\\\\text{Therefore}\ 6\dfrac{1}{8}=5\dfrac{8+1}{8}=5\dfrac{9}{8}\\\\(*)=-\left(5\dfrac{9}{8}-1\dfrac{2}{8}\right)=-\bigg((5-1)+\dfrac{9-2}{8}\bigg)=-\bigg(4+\dfrac{7}{8}\bigg)=-4\dfrac{7}{8}](https://tex.z-dn.net/?f=-6%5Cdfrac%7B1%7D%7B8%7D%2B1%5Cdfrac%7B1%7D%7B4%7D%3D-6%5Cdfrac%7B1%7D%7B8%7D%2B1%5Cdfrac%7B2%7D%7B8%7D%3D-%5Cleft%286%5Cdfrac%7B1%7D%7B8%7D-1%5Cdfrac%7B2%7D%7B8%7D%5Cright%29%3D%28%2A%29%5C%5C%5C%5C%5Ctext%7BWe%20know%7D%5C%201%3D%5Cdfrac%7B8%7D%7B8%7D%2C%5C%206%3D5%2B1%3D5%2B%5Cdfrac%7B8%7D%7B8%7D%3D5%5Cdfrac%7B8%7D%7B8%7D.%5C%5C%5C%5C%5Ctext%7BTherefore%7D%5C%206%5Cdfrac%7B1%7D%7B8%7D%3D5%5Cdfrac%7B8%2B1%7D%7B8%7D%3D5%5Cdfrac%7B9%7D%7B8%7D%5C%5C%5C%5C%28%2A%29%3D-%5Cleft%285%5Cdfrac%7B9%7D%7B8%7D-1%5Cdfrac%7B2%7D%7B8%7D%5Cright%29%3D-%5Cbigg%28%285-1%29%2B%5Cdfrac%7B9-2%7D%7B8%7D%5Cbigg%29%3D-%5Cbigg%284%2B%5Cdfrac%7B7%7D%7B8%7D%5Cbigg%29%3D-4%5Cdfrac%7B7%7D%7B8%7D)
You can convert the fractions to the decimals.
![6\dfrac{1}{8}=8.125\\\\1\dfrac{1}{4}=1.25\\\\-6\dfrac{1}{8}+1\dfrac{1}{4}=-6.125+1.25=1.25-6.125=-4.875](https://tex.z-dn.net/?f=6%5Cdfrac%7B1%7D%7B8%7D%3D8.125%5C%5C%5C%5C1%5Cdfrac%7B1%7D%7B4%7D%3D1.25%5C%5C%5C%5C-6%5Cdfrac%7B1%7D%7B8%7D%2B1%5Cdfrac%7B1%7D%7B4%7D%3D-6.125%2B1.25%3D1.25-6.125%3D-4.875)
72+10x=total amount of money from an 8 hour shift
X=number of items sold during her shift
The answer is <span>
d.<span>If the money you would save over the course of the loan is greater than the instant rebate, the zero percent APR is a better choice.
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This is a linear function in the slope - intercept form:
y = m x + b and we need a standard form:
a x + b y = c
y = 1/8 x + 7 / * 8 ( we will multiply both sides of equation by 8 )
8 y = x + 56
- x + 8 y = 56 / * ( - 1 )
x - 8 y = - 56