Proof that X = EHF = 45°

Expression 20: "E" Subscript, 1 , Baseline equals "B" Subscript, 2 , Baseline equals 7

equals

Expression 21: "E" Subscript, 2 , Baseline equals "A" Subscript, 2 , Baseline equals 0

equals

Expression 22: "F" Subscript, 1 , Baseline equals "A" Subscript, 1 , Baseline equals 0

equals

Expression 23: "F" Subscript, 2 , Baseline equals StartFraction, "B" Subscript, 2 , Baseline Over 3 , EndFraction equals 2.3 3 3 3 3 3 3 3 3 3 3

equals

2.3 3 3 3 3 3 3 3 3 3 3

Expression 24: "G" Subscript, 1 , Baseline equals "B" Subscript, 2 , Baseline equals 7

equals

Expression 25: "G" Subscript, 2 , Baseline equals "B" Subscript, 2 , Baseline equals 7

equals

Expression 26: "H" Subscript, 1 , Baseline equals "M" Subscript, 1 , Baseline plus "R" cosine left parenthesis, "D" Subscript, "C" "M" , Baseline plus "C" Subscript, "M" "H" , Baseline , right parenthesis equals 9.8

equals

9.8

Expression 27: "H" Subscript, 2 , Baseline equals "M" Subscript, 2 , Baseline plus "R" sine left parenthesis, "D" Subscript, "C" "M" , Baseline plus "C" Subscript, "M" "H" , Baseline , right parenthesis equals 5.6

equals

5.6

Expression 28: "L" Subscript, 1 , Baseline equals "D" Subscript, 1 , Baseline minus "F" Subscript, 2 , Baseline equals 11.6 6 6 6 6 6 6 6 6 7

equals

11.6 6 6 6 6 6 6 6 6 7

Expression 29: "L" Subscript, 2 , Baseline equals "A" Subscript, 2 , Baseline equals 0

equals

Expression 30: "M" Subscript, 1 , Baseline equals "D" Subscript, 1 , Baseline minus StartFraction, "F" Subscript, 2 , Baseline Over 2 , EndFraction equals 12.8 3 3 3 3 3 3 3 3 3

equals

12.8 3 3 3 3 3 3 3 3 3

Expression 31: "M" Subscript, 2 , Baseline equals StartFraction, "B" Subscript, 2 , Baseline Over 2 , EndFraction equals 3.5

equals

3.5

Graphs

Expression 33: "y" less than 25 Has graph. To audio trace, press ALT+T.

Expression 34: left parenthesis, "M" Subscript, 1 , Baseline plus "R" cos "t" , "M" Subscript, 2 , Baseline plus "R" sin "t" , right parenthesis Has graph.

domain t Minimum:

less than or equal to "t" less than or equal to

domain t Maximum: 360

Expression 35: polygon left parenthesis, "A" , "B" , "G" , "E" , "H" , "E" , "G" , "C" , "F" , "C" , "D" , right parenthesis Has graph.

Points

Two Squares and one Circle. Proove that X = 45°

2 k