Question

Find the value of x .

Answer 1

Answer:

Step-by-step explanation:

Set up a proportion

BE/BC = BD/BA

BE = 3

BC = 2 + 3 = 5

BD = x + 2

BA = x +  x + 2

BA = 2x + 2

3/5 = (x + 2) / (2x + 2)                  Cross multiply

3(2x + 2) = 5 (x + 2)                      Remove the brackets

6x + 6 = 5x + 10                            Subtract 6 from both sides

6x = 5x + 4                                    Subtract 5x from both sides

x =   4