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100 POINTS! PLEASE HELP!
1. What is the value of x? Enter your answer in the box. x = __

2. What is the value of x? Enter your answer in the box. x = __

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100 POINTS PLEASE HELP 1 What is the value of x Enter your answer in the box x 2 What is the value of x Enter your answer in the box x images below class=
100 POINTS PLEASE HELP 1 What is the value of x Enter your answer in the box x 2 What is the value of x Enter your answer in the box x images below class=

Respuesta :

Hrishii

Answer:

1) x = 5

2) x = 3

Step-by-step explanation:

[tex]1) \: by \: angle \: bisector \: theorem \\ \frac{9}{15} = \frac{2x - 1}{3x} \\ \\ 15(2x - 1) = 9(3x) \\ \\ 30x - 15 = 27x \\ \\ 30x - 27x = 15 \\ \\ 3x = 15 \\ \\ x = \frac{15}{3} \\ \\ \red{ \boxed{ \bold{ x = 5}}} \\ \\ 2) \: again \: by \: angle \: bisector \: theorem \\ \frac{3}{4} = \frac{2.25}{x} \\ \\ 3x = 4(2.25) \\ \\ 3x = 9 \\ \\ x = \frac{9}{3} \\ \\ \purple{ \boxed{ \bold{x = 3}}}[/tex]

Apply angle bisector theorem

[tex]\\ \sf\longmapsto \dfrac{9}{15}=\dfrac{3}{5}=\dfrac{2x-1}{3x}[/tex]

[tex]\\ \sf\longmapsto 9x=5(2x-1)[/tex]

[tex]\\ \sf\longmapsto 9x=10x-5[/tex]

[tex]\\ \sf\longmapsto 10x-9x=5[/tex]

[tex]\\ \sf\longmapsto x=5[/tex]

#2

[tex]\\ \sf\longmapsto \dfrac{4}{3}=\dfrac{x}{2.25}[/tex]

[tex]\\ \sf\longmapsto 4(2.25)=3x[/tex]

[tex]\\ \sf\longmapsto 3x=9[/tex]

[tex]\\ \sf\longmapsto x=3[/tex]

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