Question

Algebra: Solve for x. Show work to justify your answer.

Answer 1

x = 7.5

Explanation:

Since the lines are proportional, we would use this equation:

`(4)/(5) = (6)/(x)`

Now we rearrange the equation:

`4x=6(5)`

`6(5)=30`

`4x=30`

Now divide both sides by 4 to isolate x

`(4x)/(4) = (30)/(4)`

The 4's will cancel out.

`(30)/(4) = 7.5`

Therefore,
`x=7.5`

Hope this helps!

Answer 2

15. To solve for x, we have proportional sides.

To find x, use the form below:

`\begin{gathered} (4)/(5)=(6)/(x) \\ \\ 4x=6*5 \\ \\ 4x=30 \\ \\ (4x)/(4)=(30)/(4) \\ \\ x=7.5 \end{gathered}`

ANSWER:

x = 7.5