Expression 27: "E" Subscript, 1 , Baseline equals "R" cosine left parenthesis, 90 minus 2 alpha , right parenthesisE1=Rcos90−2α
equals=
44
27
Expression 28: "E" Subscript, 2 , Baseline equals "R" sine left parenthesis, 90 minus 2 alpha , right parenthesisE2=Rsin90−2α
equals=
negative 5.5 0 5 5 2 7 6 8 1 8 8−5.50552768188
28
Expression 29: "E" Subscript, "M" "G" , Baseline equals tangent to the negative 1st power StartFraction, "G" Subscript, 2 , Baseline minus "M" Subscript, 2 , Baseline Over "G" Subscript, 1 , Baseline minus "M" Subscript, 1 , Baseline , EndFractionEMG=tan−1G2−M2G1−M1
equals=
81.4 8 6 3 1 3 1 7 3 281.4863131732
29
Expression 30: "E" Subscript, "M" "F" , Baseline equals tangent to the negative 1st power StartFraction, "F" Subscript, 2 , Baseline minus "M" Subscript, 2 , Baseline Over "F" Subscript, 1 , Baseline , EndFractionEMF=tan−1F2−M2F1
equals=
45.4 8 6 3 1 3 1 7 3 245.4863131732
30
Expression 31: "F" Subscript, 1 , Baseline equals "M" Subscript, 1 , Baseline plus "a" cosine left parenthesis, "E" Subscript, "M" "G" , Baseline minus 36 , right parenthesisF1=M1+acosEMG−36
equals=
5.5 3 1 9 3 8 8 9 4 5 85.53193889458
31
Expression 32: "F" Subscript, 2 , Baseline equals "M" Subscript, 2 , Baseline plus "a" sine left parenthesis, "E" Subscript, "M" "G" , Baseline minus 36 , right parenthesisF2=M2+asinEMG−36
equals=
0.1 2 1 1 2 5 0 0 2 1 3 90.121125002139
32
Expression 33: StartFraction, StartNestedFraction, "a" squared minus "b" squared NestedOver left parenthesis, "c" minus "d" , right parenthesis squared , EndNestedFraction Over StartNestedFraction, phi minus 2 NestedOver phi plus 2 , EndNestedFraction , EndFraction tilde 1a2−b2c−d2ϕ−2ϕ+2~1
33
Expression 34: "G" squared plus left parenthesis, "G" Subscript, 2 , Baseline minus "M" Subscript, 2 , Baseline , right parenthesis squared equals "G" squaredG21+G2−M22=G2M
34
Expression 35: left parenthesis, "G" Subscript, 2 , Baseline minus "M" Subscript, 2 , Baseline , right parenthesis equals StartRoot, "G" squared minus "G" squared , EndRootG2−M2=G2M−G21
Expression 37: "H" Subscript, 1 , Baseline equals "G" Subscript, 1 , Baseline plus StartFraction, "c" plus "d" Over "d" , EndFraction left parenthesis, "B" Subscript, 1 , Baseline minus "G" Subscript, 1 , Baseline , right parenthesisH1=G1+c+ddB1−G1
equals=
negative 5.8 9 2 5 5 8 7 2 0 2 2−5.89255872022
37
Expression 38: "H" Subscript, 2 , Baseline equals "G" Subscript, 2 , Baseline plus StartFraction, "c" plus "d" Over "d" , EndFraction left parenthesis, "B" Subscript, 2 , Baseline minus "G" Subscript, 2 , Baseline , right parenthesisH2=G2+c+ddB2−G2
equals=
5.8 2 0 5 7 7 2 9 2 3 85.82057729238
38
Expression 39: "J" Subscript, 1 , Baseline equals "M" Subscript, 1 , Baseline plus "a" cosine left parenthesis, "E" Subscript, "M" "G" , Baseline minus 36 plus 2 beta , right parenthesisJ1=M1+acosEMG−36+2β
equals=
negative 7.0 6 0 7 2 7 8 3 0 3 4−7.06072783034
39
Expression 40: "J" Subscript, 2 , Baseline equals "M" Subscript, 2 , Baseline plus "a" sine left parenthesis, "E" Subscript, "M" "G" , Baseline minus 36 plus 2 beta , right parenthesisJ2=M2+asinEMG−36+2β
Expression 45: polygon left parenthesis, "A" , "B" , "C" , "D" , "M" , "F" , "G" , "H" , "J" , "M" , "E" , right parenthesispolygonA,B,C,D,M,F,G,H,J,M,E
45
Points
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powered by
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Start black, "P" "r" "o" "v" "e" : StartFraction, "a" squared minus "b" squared Over left parenthesis, "c" minus "d" , right parenthesis squared , EndFraction equals StartFraction, phi minus 2 Over phi plus 2 , EndFraction End blackProve:a2−b2c−d2=ϕ−2ϕ+2
Start black, "R" "e" "g" "u" "l" "a" "r" "P" "e" "n" "t" "a" "g" "o" "n" "s" End blackRegularPentagons