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21 votes
21 votes
PLEASE HELP If PQ=30a) Determine the value of xx=b) Determine LQLQ=

PLEASE HELP If PQ=30a) Determine the value of xx=b) Determine LQLQ=-example-1
User Bappi
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1 Answer

25 votes
25 votes

If PQ = 30 teh the sum of the two segments will be equal to 30 so:


30=2x-1+9x-2

Now we can simplify the quation like:


\begin{gathered} 30=11x-3 \\ 30+3=11x \\ 33=11x \\ (33)/(11)=x \\ 3=x \end{gathered}

Now with the value of x we can replace it in the segment LQ


\begin{gathered} LQ=9(3)-2 \\ LQ=27-2 \\ LQ=25 \end{gathered}

User Kalana Demel
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