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OpenStudy (anonymous):
DEFG is a rectangle. DF = 5x - 3and EG = x + 5. Find the value of x and the length of each diagonal. A. x = 2, DF = 7, EG = 7 B. x = 2, DF = 7, EG = 12 C. x = 1, DF = 6, EG = 6 D. x = 2, DF = 6, EG = 6
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jimthompson5910 (jim_thompson5910):
In any rectangle, the diagonals are congruent (ie equal in length) So, DF = EG 5x-3 = x+5 x = ???
OpenStudy (anonymous):
...... No clue.
jimthompson5910 (jim_thompson5910):
5x-3 = x+5 5x-3-x = 5 5x-x = 5+3 I'll let you finish up
OpenStudy (anonymous):
Yeah, I don't know.
jimthompson5910 (jim_thompson5910):
5x-x = 5+3 4x = 8 x = ???
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OpenStudy (anonymous):
x=2?
jimthompson5910 (jim_thompson5910):
correct
jimthompson5910 (jim_thompson5910):
now use this to find the length of the diagonals
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