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Step-by-step explanation:
Finding the values of EF and DF can be done by solving a system of equations. Given that AB = 4, BC = 6, and DE = 8, the equation EF = AB + BC - DE can be used to find EF. Substituting the given values into the equation yields EF = 4 + 6 - 8 = 2. To find DF, the equation DF = DE + EF can be used. Substituting the given values yields DF = 8 + 2 = 10.
To find the values of BC, DE, and EF when AC = 25, AB = 15, and DF = 30, the equations EF = AB + BC - DE and DF = DE + EF can be used. Substituting the given values into the equations yields EF = 15 + BC - DE and DF = DE + EF. Solving the system of equations yields BC = 9, DE = 16, and EF = 19.
To find the values of AB and BC when DF = 30, DE = 16, and AC = 28, the equations AB = AC - BC and DF = DE + EF can be used. Substituting the given values into the equations yields AB = 28 - BC and DF = 16 + EF. Solving the system of equations yields AB = 12 and BC = 16.
In conclusion, the values of EF and DF can be found by solving a system of equations. Additionally, the values of BC, DE, and EF can be found when given AC, AB, and DF. Finally, the values of AB and BC can be found when given DF, DE, and AC.