Verified Answer :

KC= 31-10= 21
21÷2=10.5
KN= 10.5×4=42
42+1=43
KN=43

Answer:

KN = 74

Step-by-step explanation:

Given: KC= 31 , KC = 2x + 10 and CN = 4x + 1

We have to find the KN.

Since, KC = 31

also KC = 2x + 10

Comparing both we get,

31 = 2x + 10

2x = 21

\(x=\frac{21}{2}\)

Also, CN = 4x + 1 = \(4(\frac{21}{2})+1=43\)

Thus, KN = KC + CN

KN = 31 + 43 = 74

Thus, KN = 74

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