Answer:
The answer is the same for all of the boxes. It is 3 gallons.
Step-by-step explanation:
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![\bf \textit{sum of all interior angles of a polygon}\\\\ 180(n-2)\quad \begin{cases} n=\textit{number of sides}\\ ---------\\ n=10 \end{cases}\implies 180(10-2)\implies 1440\\\\ -------------------------------\\\\ \begin{array}{lclll} &x + 5\\&x + 10\\&x + 20\\&x + 30\\&x + 35\\&x + 40\\&x + 60\\&x + 70\\&x + 80\\+&x + 90\\ &----\\ &10x+440 \end{array}\implies \begin{array}{llll} 10x+440=1440 \\\\\\ 10x=1000 \\\\\\ x=\cfrac{1000}{10}\implies x=100 \end{array}](https://tex.z-dn.net/?f=%5Cbf%20%5Ctextit%7Bsum%20of%20all%20interior%20angles%20of%20a%20polygon%7D%5C%5C%5C%5C%0A180%28n-2%29%5Cquad%20%0A%5Cbegin%7Bcases%7D%0An%3D%5Ctextit%7Bnumber%20of%20sides%7D%5C%5C%0A---------%5C%5C%0An%3D10%0A%5Cend%7Bcases%7D%5Cimplies%20180%2810-2%29%5Cimplies%201440%5C%5C%5C%5C%0A-------------------------------%5C%5C%5C%5C%0A%5Cbegin%7Barray%7D%7Blclll%7D%0A%26x%20%2B%205%5C%5C%26x%20%2B%2010%5C%5C%26x%20%2B%2020%5C%5C%26x%20%2B%2030%5C%5C%26x%20%2B%2035%5C%5C%26x%20%2B%2040%5C%5C%26x%20%2B%2060%5C%5C%26x%20%2B%2070%5C%5C%26x%20%2B%2080%5C%5C%2B%26x%20%2B%2090%5C%5C%0A%26----%5C%5C%0A%2610x%2B440%0A%5Cend%7Barray%7D%5Cimplies%20%0A%5Cbegin%7Barray%7D%7Bllll%7D%0A10x%2B440%3D1440%0A%5C%5C%5C%5C%5C%5C%0A10x%3D1000%0A%5C%5C%5C%5C%5C%5C%0Ax%3D%5Ccfrac%7B1000%7D%7B10%7D%5Cimplies%20x%3D100%0A%5Cend%7Barray%7D)
so.. to get every angle, simply plug in 10 for "x" for each.
Answer:
The triangle formula is always base times height divided by 2 I forgot the circle formula
Step-by-step explanation:
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Answer:
(x +6)^2 +(y -10)^2 = 225
Step-by-step explanation:
The standard form equation for a circle is ...
(x -h)^2 + (y -k)^2 = r^2
where the center is (h, k) and the radius is r.
The center of a circle is the midpoint of any diameter. The midpoint between two points is the average of their coordinates.
((-15, -2) +(3, 22))/2 = (-15+3, -2+22)/2 = (-6, 10)
The radius can be found using the distance formula, or by simply putting one of the given points in the equation for the circle to see what the constant (r^2) needs to be.
(x -(-6))^2 +(y -10)^2 = (-15-(-6))^2 +(-2-10)^2
(x +6)^2 +(y -10)^2 = 81 +144 = 225
The equation of the circle is ...
(x +6)^2 +(y -10)^2 = 225