Ask Question
12 December, 16:21

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

+1
Answers (1)
  1. 12 December, 18:57
    0
    see explanation

    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
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “LMNP is a rectangle. Find the value of x and the length of each diagonal. LN = 7x+9 and MP=9x-9 ...” in 📘 Mathematics if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions.
Search for Other Answers