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Find the value of x.
6 3 2 x​

Find The Value Of X6 3 2 X class=

Sagot :

abcdefdfgfghh

Answer:

[tex]x=4[/tex]

Step-by-step explanation:

To solve this problem, one must use the angle bisector theorem. This theorem provides a proportion between the sides formed by an angle bisector. One can apply this theorem here by forming the following proportion,

[tex]\frac{BA}{BC}=\frac{AD}{DC}[/tex]

Substitute,

[tex]\frac{x}{6}=\frac{2}{3}[/tex]

Cross products,

[tex]3(x)=2(6)[/tex]

Simplify,

[tex]3x=12[/tex]

Inverse operations,

[tex]3x=12\\\\x = 4[/tex]

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