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Midpoints
B is the midpoint of AC , find x.

Midpoints B Is The Midpoint Of AC Find X class=

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Musiclover10045idn

B is the midpoint which means both sides are equal to each other:

5x = 3x + 4

Subtract 3x from both sides

2x = 4

Divide both sides by 2

X = 2

Given:-

[tex]\red{➤}\:[/tex][tex]\sf AB = 5x [/tex]

[tex]\red{➤}\:[/tex][tex]\sf BC = 3x+4[/tex]

[tex]\\[/tex]

To Find:-

[tex]\orange{☛}\:[/tex][tex]\sf Value \:of \:x[/tex]

[tex]\\[/tex]

Solution:-

Since B is midpoint of AC, therefore -

[tex]\\\quad\quad\quad\quad\sf AB = BC [/tex]

[tex]\begin{gathered}\\\quad\longrightarrow\quad \sf 5x = 3x+4\quad\quad ( Putting \:Value) \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\quad\longrightarrow\quad\sf 5x-3x =4 \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\quad\longrightarrow\quad\sf 2x =4 \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\quad\longrightarrow\quad\sf x =\frac{4}{2}\\\end{gathered} [/tex]

[tex]\begin{gathered}\\\quad\longrightarrow\quad\boxed{\sf {x=2 }}\\\end{gathered} [/tex]

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