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Determine the value of X

AB is the mid segment of triangle LMN. Determine the value of X

Determine The Value Of X AB Is The Mid Segment Of Triangle LMN Determine The Value Of X class=

Answer :

Answer:

B.  4

Step-by-step explanation:

Since ,AB is the mid segment of triangle LMN

Then

[tex]\Longleftrightarrow AB=\frac{MN}{2}[/tex]

[tex]\Longleftrightarrow x+8=\frac{5x+4}{2}[/tex]

[tex]\Longleftrightarrow 2\times(x+8)=5x+4[/tex]

[tex]\Longleftrightarrow 2x+16=5x+4[/tex]

[tex]\Longleftrightarrow 16-4=5x-2x[/tex]

[tex]\Longleftrightarrow 3x=12[/tex]

[tex]\Longleftrightarrow x=\frac{12}{3}=4[/tex]

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