Question

in the figure HOPE is a rectangle . it's diagonals meet at G. if HG =5x + 1 and EG =4x+19.find x​

Answer 1

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.

Answer 2

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: