Question

C is the circumcenter of APQR. PC=3x+7, RC=5x-15, & QC=51-X x=[?]

Answer 1

Answer:

x = 11

Step-by-step explanation:

C is the circumcenter of $\triangle PQR$

$\implies PC=QC=RC$ (Radii of same circle)

$\implies RC=QC$

$\implies 5x-15=51-x$

$\implies 5x +x=51+15$

$\implies 6x =66$

$\implies \: x = \frac{66}{6} \\ \\ \implies \: \huge \: \red{x = 11}$