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use the figure at the right . if JK =3x+18 and NO=18, what is the value of x?

Use The Figure At The Right If JK 3x18 And NO18 What Is The Value Of X class=

Sagot :

You have the following information:

JK = 3x + 18

NO = 18

You can notice that segment JM and MK are equal, furthermore, JK = JM + MK.

Then, JK = 2JM. From this expression you obtain:

JM = JK/2

By replacing the given expression for JK you have:

JM = (3x + 18)/2 = 3/2 x + 9

Moreover, you can notice that segments JM and NO are qual. Then, you have:

JM = NO you replace the expressions for JUM and NO

3/2 x + 9 = 18 subtract 9 both sides

3/2 x = 18 - 9

3/2 x = 9 multiply both sides by 2/3

x = 9(2/3)

x = 18/3

x = 6

Hence, the value of x is x = 6

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