in the figure HOPE is a rectangle . it's diagonals meet at G. if HG =5x + 1 and EG =4x+19.find x
Answers
Answered by
13
Answer:
x = 18
Step-by-step explanation:
Diagonals of any rectangle are equal in length and they bisect each other.
Therefore, G is the midpoint of both the diagonals OE and HP and OE = HP.
Therefore, HG = EG:
5x + 1 = 4x + 19
=> 5x - 4x = 19 - 1
=> x = 18.
Answered by
6
Answer:
since the diagonals bisect each other
hp=2hg=2(5x+1)=10x+2
and
oe=2eg=2(4x+19)=8x+38
diagonals of the rectangle r equal ∴hp=op
⇒10x + 2 = 8x + 38
⇒2x = 36 or x = 18
Step-by-step explanation:
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