bredadoll
bredadoll bredadoll
  • 09-01-2021
  • Mathematics
contestada

LMNP is a rectangle. Find the value of x and the length of each diagonal.
LN = 7x + 11 and MP = 9x-5
X= ???

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QuavYONYT
QuavYONYT QuavYONYT
  • 09-01-2021

Answer:

Step-by-step explanation:

The diagonals of a rectangle are congruent, thus

MP = LN , substitute values

9x - 9 = 7x + 9 ( subtract 7x from both sides )

2x - 9 = 9 ( add 9 to both sides )

2x = 18 ( divide both sides by 2 )

x = 9

LN = 7x + 9 = (7 × 9) + 9 = 63 + 9 = 72

MP = 9x - 9 = (9 × 9) - 9 = 81 - 9 = 72

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