Question

Find the missing length

Answer 1

The answer to your question is 5.1

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

`(BG)/(AB) = (BE)/(BD)`

Substitution

`(BE + EG)/(AD + BD) = (BE)/(BD)`

`(x + 9)/(7 + 4) = (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