Question

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

Answer 1

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:

$\begin{gathered} 30=11x-3 \\ 30+3=11x \\ 33=11x \\ \frac{33}{11}=x \\ 3=x \end{gathered}$

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

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