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) Use the image to answer the question. M P N L (1 point) < Item 19 In parallelogram MNOP, the diagonals MO and NP intersect at point L. ML+7 and LO2z10. What is the value of x? 4

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To find the value of \( x \) in the parallelogram \( MNOP \) where the diagonals \( MO \) and \( NP \) intersect at point \( L \), we can use the properties of parallelograms.

In a parallelogram, the diagonals bisect each other, meaning that:

\[ ML = LO \]

From the information given:

  • \( ML = x + 7 \)
  • \( LO = 2x - 10 \)

Since \( ML = LO \), we can set the two expressions equal to each other:

\[ x + 7 = 2x - 10 \]

Now, let's solve for \( x \):

  1. Subtract \( x \) from both sides:

\[ 7 = x - 10 \]

  1. Add \( 10 \) to both sides:

\[ 7 + 10 = x \]

\[ x = 17 \]

Thus, the value of \( x \) is \( 17 \).