Question

What are the lengths of sides KN and NM of the kite?
KN =
units
NM =
units

Answer 1

y+10= 2y+5
10=y+5
5=y

Plug this in
(5)+10=15 for KN


2x+6=3x-1
6=x-1
7=x

Plug this value in
2(7)+6
14+6= 20 for NM

Answer 2

The lengths of sides KN and NM of the kite

KN =  15   units

NM =   20 units

Given that KLMN is a kite

According to the given figure KN = KL........ (1)  

and LM = NM........ (2)

$\rm KN =y +10\\NM = 2x+6\\LM = 3x-1\\KL = 2y+5$

From equation (1)

$\rm y +10 = 2y+5\\y = 10-5\\y = 5$

putting y =5 for KN and KL we get

KN = KL = 15

Similarly from equation (2)

$\rm 3x-1 = 2x+6 \\x = 7$

On putting x =7 for LM and MN we get

LM = MN = 20

So the lengths of sides KN and NM of the kite

KN =  15   units

NM =   20 units

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https://brainly.com/question/21168546