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ST=12In Exercises 15 and 16, point B is between A and C on AC. Use the information to write an equation in terms ofx. Then solve the equation and find AB, BC, and AC.

ST12In Exercises 15 and 16 point B is between A and C on AC Use the information to write an equation in terms ofx Then solve the equation and find AB BC and AC class=

Respuesta :

Given:

We can just use AB + BC=74 and add like terms.

[tex]\bar{AB}+\bar{BC}=74\Rightarrow8x+5+5x-9=74\Rightarrow8x+5x+5-9=74[/tex][tex]8x+5x+5-9=74\Rightarrow13x-4=74\Rightarrow13x=74+4\Rightarrow13x=78\Rightarrow x=\frac{78}{13}=6[/tex][tex]x=6;\bar{\text{ }AB}=8(6)+5=53,\bar{\text{ }BC}=5(6)-9=21,\bar{\text{ }AC}=74[/tex]

Answer:

AB=53

BC=21

AC=74

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