og0410842 og0410842

11-03-2021
Mathematics

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In the diagram, ABC - DEF Find the value of x .
12
8
36
24
E
27
The value of x is

In the diagram ABC DEF Find the value of x 12 8 36 24 E 27 The value of x is class=

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gcantiga44 gcantiga44

11-03-2021

Find the similarity ratio from the other two sides.

AC ~ DF

and

BC ~ EF

AC = 12

DF = 36

36 ÷ 12 = 3

BC = 9

EF = 27

27 ÷ 9 = 3

Ratio similarity scale is, 1 : 3

We have AB ~ DE

AB = x

DE = 24

24 ÷ x = 3

24 ÷ 3 = x

8 = x

The value of x is 8

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