What expression is equivalent to 18 1/5 ( -22 2/5 ) - (-40 1/5 )
1 answer:
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Refer to the diagram shown below.
FH = FG + GH, therefore
(5x + 9) + (9x - 5) = 102
5x + 9 + 9x - 5 = 102
14x + 4 = 102
Subtract 4 from each side.
14x = 98
Divide each side by 14.
x = 7
FG = 5x + 9 = 5*7 + 9 = 35 + 9 = 44
HG = 9x - 5 = 9*7 - 5 = 63 - 5 = 58
Answers:
Part A) x = 7
Part B) FG = 44
Part C) HG = 58
FH = FG + GH, therefore
(5x + 9) + (9x - 5) = 102
5x + 9 + 9x - 5 = 102
14x + 4 = 102
Subtract 4 from each side.
14x = 98
Divide each side by 14.
x = 7
FG = 5x + 9 = 5*7 + 9 = 35 + 9 = 44
HG = 9x - 5 = 9*7 - 5 = 63 - 5 = 58
Answers:
Part A) x = 7
Part B) FG = 44
Part C) HG = 58
Step-by-step explanation:
Since the 2 side lines are parallel,
(Note that you can further simplify the equation if you wish to, this is a general equation.)
(Equation formed due to Corresponding angles and Sum of angles on the same straight line)