Question

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.

Answer 1

Given:

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

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

Answer:

AB=53

BC=21

AC=74