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3 years ago

Find the missing length. If needed route to the nearest 10th. The length of X is? PLEASE ANSWER AND EXPLAIN PLEASEEE

Mathematics

1 answer:

yaroslaw [1]3 years ago

5 0

Answer:x =8.3

Step-by-step explanation:

Triangle ABG is similar to triangle DBE. This means that the ratio of the length of each side of ∆ABG to the length of the corresponding side of ∆DBE is constant. Therefore,

AB/DB = BG/BE = AG/DE

AB = 11

BG = 10 + x

Therefore,

11/6 = (x + 10)/10

Cross multiplying, it becomes

6(x + 10) = 11 × 10

6x + 60 = 110

Subtracting 60 from left hand side and the right hand side of the equation, it becomes

6x + 60 - 60 = 110 - 60

6x = 50

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

6x/6 = 50/6

x = 8.3 rounded up to the nearest tenth

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