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19-12-2019
Mathematics

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19-12-2019

Answer:

k=5

Step-by-step explanation:

The question states that <ACB=<DCE

And <ACE=(4/5)k-(1/10)k

<DCE=(1/2)k+1

So the equation is (4/5)k-(1/10)k=(1/2)k+1

Over here the LCM is 10 so you multiply through by 10 to get

8k-k=5k+10

7k=5k+10

7k-5k=10

2k=10

2k/2=10/2

k=5

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