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LM=7a MN=12aLM=56IF M is between L and N; find the value of the variable first then find LN

LM7a MN12aLM56IF M Is Between L And N Find The Value Of The Variable First Then Find LN class=

Sagot :

Sketch the line LN with point M between L and N.

Determine the value of by using segment LM.

[tex]\begin{gathered} LM=7a \\ 56=7a \\ a=\frac{56}{7} \\ =8 \end{gathered}[/tex]

Determine the length of line LN by addition segment postulates.

[tex]\begin{gathered} LN=LM+MN \\ =7a+12a \\ =19a \end{gathered}[/tex]

Substitute 8 for a in the equation to obtain the length LN.

[tex]\begin{gathered} LN=19\cdot8 \\ =152 \end{gathered}[/tex]

Thus, value of variable a is 8 and LN = 152. Option B is correct.

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