Question

Need help in solving for x.

Answer 1

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Angle Bisector Theorem
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*Assuming BD bisects ∠ABC

`(AD)/(DC) = (AB)/(BC)`

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Fid the ratio
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`(AD)/(DC) = (36)/(27)`

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Simplify
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`(AD)/(DC) = (4)/(3)`

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Given ratio, find CD
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Ratio of AD : DC = 4 : 3

Given that AC = 42 cm
7 shares = 42 cm

1 share = 42 ÷ 7
1 share = 6 cm

3 shares = 6 x 3
3 shares = 18cm

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Answer: x = 18 cm
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Answer 2

this may not be a good explanation but
because AB is 36 then AD will be 18
so,
AC-AD=x
substitute
42-18=x
24=x