Given the shown figure:
As shown, QT is the perpendicular bisector of PR
And SP = SR
SP = 4x + 4 , SR = 7x - 17
So, we can write the following equation:
[tex]7x-17=4x+4[/tex]
Solve the equation to find (x):
[tex]\begin{gathered} 7x-4x=17+4 \\ 3x=21 \\ x=\frac{21}{3}=7 \end{gathered}[/tex]
QT is the perpendicular bisector of PR
So, the triangle PQR is an isosceles triangle with the vertex Q
So, QP = QR
QP = 5y -31, QR = 2y + 5
So, we can write the following equation:
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