Answer:
option D. DE = 11
Step-by-step explanation:
The line DF is equivalent in length to the blue line,
(x + 7) + 7 = 4x + 2
Solve:
x + 14 = 4x + 2
subtract 14 from both sided to get x alone,
x + 14 - 14 = 4x + 2 - 14
x = 4x - 12
subtract 4x from both sided,
x - 4x = 4x - 4x - 12
-3x = -12
divided both sides by -3,
-3x / 3 = -12 / -3
x = 4
Plug in x into DE equation:
x + 7: (4) + 7 = 11
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