Question

Find the missing length. If needed, round to the nearest tenth.

Answer 1

Answer:

Step-by-step explanation:

Line DE is parallel to line AG.

Also, triangle ABG is similar to triangle to triangle DBE.

Therefore,

AB/DB = GB/EB = AG/DE

AB = 5 + 6 = 11

GB = 9 + x

Therefore,

11/6 = (9 + x)/9

Cross multiplying, it becomes

11 × 9 = 6(9 + x)

99 = 54 + 6x

Subtracting 54 from the Left hand side and the right hand side of the equation, it becomes

54 - 54 + 6x = 99 - 54

6x = 45

Dividing the Left hand side and the right hand side of the equation by 6, it becomes

6x/6 = 45/6

x = 7.5