Question

Solve for x. Please help and please show work, thanks!

Answer 1

Answer: 5

Explanation:

We can use ratios / proportions to solve for x. I am going to have the shorter segment on the top of our fractions (the numerator), and the longer segments on the bottom (the denominator).

`(10)/(10+12) =(4x-5)/(33)`

`(10)/(22) =(4x-5)/(33)`

Now I am going to cross multiply:

10 * 33 = 22(4x - 5)

330 = 88x - 110

440 = 88x

5 = x

x = 5