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AJ is the bisector of ∠HJI. Determine the value of x.Question options:A) 22.5 B) 10 C) 12 D) 2.5

AJ Is The Bisector Of HJI Determine The Value Of XQuestion OptionsA 225 B 10 C 12 D 25 class=

Sagot :

From the Angle bisector Theorem we have:

[tex]\frac{A}{B}=\frac{X}{Y}[/tex]

Substituting the given values, we have:

[tex]\begin{gathered} \frac{15}{8}=\frac{3x}{4} \\ \\ 4\times15=8\times3x\to60=24x \\ x=\frac{60}{24}=2.5 \end{gathered}[/tex]

Answer is:

D) 2.5

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