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:
[tex]AB+BC=AC[/tex]
We know that AB is 22, BC is 16x, and AC is 182. Substitute:
[tex]22+16x=182[/tex]
Now, find the value of x. Subtract 22 from both sides:
[tex]16x=160[/tex]
Divide both sides by 16:
[tex]x=10[/tex]
So, the value of x is 10.
And we're done!
Answer:
[tex]x=10[/tex]
Step-by-step explanation:
Start with:
[tex]AB+BC=AC[/tex]
Substitute in your values.
[tex]22+16x=182[/tex]
Subtract [tex]22[/tex] from both sides of the equation.
[tex]16x=182-22[/tex]
Combine like terms.
[tex]16x=160[/tex]
Divide by the coefficient of [tex]x[/tex], which in this case is [tex]16[/tex].
[tex]x=10[/tex]
