Question

If BD=7x-10, BC=4x-29, and CD=5x-9. Find x

Answer 1

Hi, Hope this will help :)

Answer 2

`x=5`

Explanation:

From the given segments, we can deduce that B is between C and D. Thus, BD plus BC must equal CD. In an equation:

`CD=BD+BC`

Substitute equations:

`5x-9=(7x-10)+(4x-29)`

Combine like terms on the right:

`5x-9=(11x-39)`

Subtract 11x from both sides:

`-6x-9=-39`

Add 9 to both sides:

`-6x=-30`

Divide both sides by -6:

`x=5`

So, the value of x is 5.

And we're done!