Respuesta :

3x-14=58

3x-14+14= 58+14

3x= 72

Divide by 3 for 3x=72

x= 24

check answer by using substitution method

3x-14=58

3(24)-14=58

72-18=58

58=58

Answer is C.(x=24)

Answer:  The correct option is (A) 58.

Step-by-step explanation:  We are given to find the length of JK in the given figure.

From the figure, we note that

JKLM is a parallelogram. So, the opposite sides of JKLM will be parallel and congruent.

Also, JK = 3x - 14  and  LM = 58.

Since JK and LM are the opposite sides of the parallelogram JKLM , so we must have

[tex]JK=LM\\\\\Rightarrow 3x-14=58\\\\\Rightarrow 3x=58+14\\\\\Rightarrow 3x=72\\\\\Rightarrow x=\dfrac{72}{3}\\\\\Rightarrow x=24.[/tex]

Therefore, the length of JK is given by

[tex]JK=3x-14=3\times24-14=72-14=58.[/tex]

Thus, the length of JK is 58 units.

Option (A) is CORRECT.

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