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Use the figure at right. if jk=6x+8 and NO=16, what is the value of x?

Use the figure at right. if jk=6x+8 and NO=16, what is the value of x?-example-1
User ShouravBR
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1 Answer

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The short line on the sides of the triangle tells us that those sides are equal.

We can see that LN = NJ and

LO = KO

This means that triangle LNO is similar to triangle triangle LJK

LO/NO = (LO + OK)/JK

Given that NO = 16 and JK = 6x + 8, it means that

LO/16 = (LO + OK)/(6x + 8)

Since LO = OK, it means that

LO + OK = LO + LO = 2LO

Therefore

LO/16 = 2LO/(6x + 8)By cross multiplying, it becomes

LO(6x + 8) = 2LO * 16

LO(6x + 8) = 32LO

Dividing both sides of the equation by LO, it becomes

6x + 8 = 32

6x = 32 - 8

6x = 24

x = 24/6

x = 4

User Chukie
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