Question

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

Answer 1

Answer:

The length of AD is 6.

Step-by-step explanation:

Solve.

$5x - 7 = 2x + 11 \\ \frac{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: - 2x \: \: \: \: \: \: = - 2x \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }{3x - 7 = 11} \\ \frac{ \: \: \: \: \: \: \: \: \: + 7 = + 7}{3x = 18} \\ \\ \frac{3x}{3} = \frac{18}{3} \\ \\ x = 6$

Now plug in:

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

^Therefore, your result^