Question

Find the missing length

Answer 1

Answer:

The answer to your question is 5.1

Step-by-step explanation:

Data

BD = 7

AD = 4

BE = 9

EG = x

Process

1.- Use proportions to solve this problem

     BG = BE + EG = 9 + x

     AB = BD + AD = 7 + 4

                $\frac{BG}{AB} = \frac{BE}{BD}$

Substitution

                $\frac{BE + EG}{AD + BD} = \frac{BE}{BD}$

                $\frac{x + 9}{7 + 4} = \frac{9}{7}$

Solve for x        

              7(x + 9) = 9 (7 + 4)

              7x + 63 = 9(11)

                      7x = 99 - 63

                      7x = 36

                        x = 36/7

                       x = 5.1