Question

Given B is between A and C, find the value of x if AB = 22, BC = 16x, and AC = 182.

Answer 1

`x=10`

Explanation:

Start with:

`AB+BC=AC`

Substitute in your values.

`22+16x=182`

Subtract
`22` from both sides of the equation.

`16x=182-22`

Combine like terms.

`16x=160`

Divide by the coefficient of
`x`, which in this case is
`16`.

`x=10`

Answer 2

10

Explanation:

Since we know that B is between A and C, it doesn't matter where B is, but, we are sure that AB plus BC equals AC. In an equation:

`AB+BC=AC`

We know that AB is 22, BC is 16x, and AC is 182. Substitute:

`22+16x=182`

Now, find the value of x. Subtract 22 from both sides:

`16x=160`

Divide both sides by 16:

`x=10`

So, the value of x is 10.

And we're done!