Question

Given the length of AC is 20, find the length of BC. 2x + 1 8x - 1

Answer 1

To solve this question, we need to remark that the total segment is AC = 20, and the sum of the segments AB + BC = AC. Then, we have that:

`AB+BC=AC\Rightarrow(2x+1)+(8x-1)=20`

Thus, we have to sum the like terms, and simplify the equation:

`2x+8x+1-1=20\Rightarrow10x+0=20\Rightarrow x=(20)/(10)\Rightarrow x=2`

Because x = 2, and BC = 8x - 1, then BC = 8 * (2) - 1 ---> BC = 10 - 1 ---> BC = 9.

Therefore, the length of BC = 9.