Step-by-step explanation:
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![\large\begin{array}{l}\\\\ \textsf{Therefore,}\\\\ \mathsf{\#\big[S\cap (A\cup B)\big]}\\\\ =\mathsf{\#\big[(S\cap A)\cup(S\cap B)\big]}\\\\ =\mathsf{\#(S\cap A)+\#(S\cap B)-\#\big[(S\cap A)\cap(S\cap B)\big]}\\\\ =\mathsf{350+100-50}\\\\ =\mathsf{450-50}\\\\ =\mathsf{400~elements.}\\\\\\ \textsf{There are 400 integers in S that are divisible by 2 or 7.} \end{array}](https://tex.z-dn.net/?f=%5Clarge%5Cbegin%7Barray%7D%7Bl%7D%5C%5C%5C%5C%20%5Ctextsf%7BTherefore%2C%7D%5C%5C%5C%5C%20%5Cmathsf%7B%5C%23%5Cbig%5BS%5Ccap%20%28A%5Ccup%20B%29%5Cbig%5D%7D%5C%5C%5C%5C%20%3D%5Cmathsf%7B%5C%23%5Cbig%5B%28S%5Ccap%20A%29%5Ccup%28S%5Ccap%20B%29%5Cbig%5D%7D%5C%5C%5C%5C%20%3D%5Cmathsf%7B%5C%23%28S%5Ccap%20A%29%2B%5C%23%28S%5Ccap%20B%29-%5C%23%5Cbig%5B%28S%5Ccap%20A%29%5Ccap%28S%5Ccap%20B%29%5Cbig%5D%7D%5C%5C%5C%5C%20%3D%5Cmathsf%7B350%2B100-50%7D%5C%5C%5C%5C%20%3D%5Cmathsf%7B450-50%7D%5C%5C%5C%5C%20%3D%5Cmathsf%7B400~elements.%7D%5C%5C%5C%5C%5C%5C%20%5Ctextsf%7BThere%20are%20400%20integers%20in%20S%20that%20are%20divisible%20by%202%20or%207.%7D%20%5Cend%7Barray%7D)
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Tags: <em>set theory divibilility divisible integers union intersection</em>
Answer:
RC = 40
Step-by-step explanation:
Note that the circumcentre is equally distant from the triangle's 3 vertices.
That is : PC = RC = QC
Equate any pair and solve for x
Using RC = PC, then
5x - 15 = 3x + 7 ( subtract 3x from both sides )
2x - 15 = 7 ( add 15 to both sides )
2x = 22 ( divide both sides by 2 )
x = 11
Hence
RC = (5 × 11) - 15 = 55 - 15 = 40 units
Harry gave away 3/6, or half of the brownies
1/6 plus 2/6 equals 3/6
Answer:
B. 5 and 7
E. 1 and 3
F. 6 and 8
Step-by-step explanation:
The angles in matching corners are called corresponding angles.
