abhinavk40
abhinavk40 abhinavk40
  • 11-01-2022
  • Mathematics
contestada

PLAN is a rectangle Its diagonals meet at O. Find the value of x if OP=2x+5 and OL=3x+2.​

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saltedpasta
saltedpasta saltedpasta
  • 11-01-2022
All 4 diagonals that have O as the origin in the middle that are connected to a corner will be the same length. So, since OP is the same length as OL, you can make the equations equal each other and solve for x.

2x+5 = 3x+2

Move the 2 over to the left by subtracting it from both sides

2x + 3 = 3x

Move the 2x over to the right by subtracting it from both sides

3 = x
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