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![(9x + 17) +2 \times ( 5x + 15 ) + (6x - 12) = 360 \\](https://tex.z-dn.net/?f=%289x%20%2B%2017%29%20%2B2%20%5Ctimes%20%20%28%205x%20%2B%2015%20%29%20%2B%20%286x%20-%2012%29%20%3D%20360%20%5C%5C%20)
![9x + 17 + 10x + 30 + 6x - 12 = 360 \\](https://tex.z-dn.net/?f=9x%20%2B%2017%20%2B%2010x%20%2B%2030%20%2B%206x%20-%2012%20%3D%20360%20%5C%5C%20)
![9x + 10x + 6x + 17 + 30 - 12 = 360 \\](https://tex.z-dn.net/?f=9x%20%2B%2010x%20%2B%206x%20%2B%2017%20%2B%2030%20-%2012%20%3D%20360%20%5C%5C%20)
Collect like terms
![25x + 35 = 360](https://tex.z-dn.net/?f=25x%20%2B%2035%20%3D%20360)
Subtract sides 35
![25x + 35 - 35 = 360 - 35](https://tex.z-dn.net/?f=25x%20%2B%2035%20-%2035%20%3D%20360%20-%2035)
![25x = 325](https://tex.z-dn.net/?f=25x%20%3D%20325)
Divide sides by 25
![\frac{25x}{25} = \frac{325}{25} \\](https://tex.z-dn.net/?f=%20%5Cfrac%7B25x%7D%7B25%7D%20%20%3D%20%20%5Cfrac%7B325%7D%7B25%7D%20%20%5C%5C%20)
![x = 13](https://tex.z-dn.net/?f=x%20%3D%2013)
Thus ;
![RQ \: \: arc =2 \times (5x + 15)](https://tex.z-dn.net/?f=RQ%20%20%5C%3A%20%20%5C%3A%20arc%20%3D2%20%5Ctimes%20%285x%20%2B%2015%29)
![RQ \: \: arc = 10x + 30](https://tex.z-dn.net/?f=RQ%20%20%5C%3A%20%20%5C%3A%20arc%20%3D%2010x%20%2B%2030)
![RQ \: \: arc = 10(13) + 30](https://tex.z-dn.net/?f=RQ%20%20%5C%3A%20%20%5C%3A%20arc%20%3D%2010%2813%29%20%2B%2030)
![RQ \: \: arc = 130 + 30](https://tex.z-dn.net/?f=RQ%20%20%5C%3A%20%20%5C%3A%20arc%20%3D%20130%20%2B%2030)
![RQ \: \: arc = 160°](https://tex.z-dn.net/?f=RQ%20%5C%3A%20%20%5C%3A%20%20arc%20%3D%20160%C2%B0)
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Answer:
<u> Consecutive Interior Angles </u>
Consecutive interior angles equal 180 degrees and they are the ones in between(inside) the parallel lines, so that means that these angles..
∠2+∠9= 180
∠4+∠11= 180
∠6+∠13= 180
∠8+∠15= 180
<u> Consecutive Exterior Angles </u>
Consecutive exterior angles also equal 180 degrees, but they are on the outside of the parallel lines. They are...
∠1+∠10= 180
∠3+∠12= 180
∠5+∠14= 180
∠7+∠16= 180
A touchdown is scored 6 points for each touchdown and the points made after a touchdown is scored 2 points each. We are given the following variables:
t = number of touchdowns
p = number of points after a touchdown
Total score = 6t + 2p
Where 6 times t is the total score given by the number of touchdowns multiplied by 6 points, the same goes for the expression 2p.
There are 10/9 cups of cinnamon in 1 pound of spice mix
and if you wanna convert the improper fraction to a mixed number it will be 11/9