Answered

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Sagot :

AadhPrit

Answer:

The correct answer is option (d) x = 4.

Step-by-step explanation:

LMNO is a parallelogram.

  • NM = x + 23
  • OL = 5x + 7

As we know that, a parallelogram has opposite sides parallel and equal in length.

Now, according to the question :

[tex]\begin{gathered} \qquad{\dashrightarrow{\sf{NM = OL }}}\\\\\qquad{\dashrightarrow{\sf{x + 23= 5x + 7 }}}\\\\\qquad{\dashrightarrow{\sf{5x - x= 23 - 7 }}}\\\\\qquad{\dashrightarrow{\sf{4x= 16 }}}\\\\\qquad{\dashrightarrow{\sf{x= \frac{16}{4}}}}\\\\\qquad{\dashrightarrow{\sf{x = 4}}}\\\\\qquad{\star{\underline{\boxed{\tt{\red{x = 4}}}}}} \end{gathered}[/tex]

Hence, the value of x is 4.

[tex]\rule{300}{2.5}[/tex]

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