Question

URGENT!

B is the midpoint of line segment AC. If AB = 4x + 1 and AC = 5x + 20, find the length of BC.

Answer 1

Answer: 25 units.

Explanation:

Given: B is the midpoint of line segment AC.

`\Rightarrow\ AB=(AC)/(2)`

If
`AB = 4x + 1` and
`AC = 5x + 20`, then we have

`4x+1=(5x+20)/(2)`

Multiply 2 on both sides, we get

`2(4x+1)=5x+20\\\\\Rightarrow\ 8x+2=5x+20\\\\\Rightarrow\ 8x-5x=20-2\\\\\Rightarrow\ 3x=18\\\\\Rightarrow\ x= 6`

Now, AC = 5(6)+20 =30+20=50 units

Then, BC=
`(50)/(2)=25\text{ units}`

Hence, the length of BC is 25 units.