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If PR=40, what are PQ and RQ

 

 Sep 10, 2020
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the length of PQ   +   the length of QR   =   the length of PR

 

(5x - 2)   +   (x + 12)   =   40

                                                   We can take off the parenthesees since there is only addition between them

5x - 2 + x + 12   =   40

                                                   Rearrange the terms

5x + x + 12 - 2   =   40

                                                   Combine like terms

6x + 10   =   40

                                Subtract  10  from both sides of the equation.

6x   =   30

                                Divide both sides of the equation by  6

x   =   5

 

Now that we know what  x  is, plug it into each expression to find  PQ  and  QR

 

PQ   =   5x - 2   =   ?

QR   =   x + 12   =   ?

 Sep 10, 2020

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