Question

If AD = 5x - 7 and AB = 2x +11, what is the length of AD

Answer 1

The length of AD is 6.

Explanation:

Solve.

`5x - 7 = 2x + 11 \\ ( \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: - 2x \: \: \: \: \: \: = - 2x \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: )/(3x - 7 = 11) \\ ( \: \: \: \: \: \: \: \: \: + 7 = + 7)/(3x = 18) \\ \\ (3x)/(3) = (18)/(3) \\ \\ x = 6`

Now plug in:

`5x - 7 \\ 5(6) - 7 \\ 30 - 7 \\ 23`

^Therefore, your result^