Question

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

Answer 1

Answer:

10

Step-by-step 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!

Answer 2

Answer:

$x=10$

Step-by-step 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 $16$.

$x=10$