Question

Someone help with this asap please! :)

Answer 1

True

Explanation:

`We\ are\ given\ that:\\PQ=3x-16\\QR=2x+12\\RS=x+8\\To\ Check:\\Whether\ PS\ equals\ 172.\\Hence,\\As\ we\ know\ that:\\PQ=QR\\3x-16=2x+12\\3x-2x=12+16\\x=28\\Now,\\Substituting\ x=28\ in\ our\ set\ of\ values:\\PQ=3*28-16\\=84-16\\=68\\QR=2*28+12\\=56+12\\=68\\RS=28+8\\=36\\As\ PS=PQ+QR+RS\\PS=68+68+36\\=172\\As\ 172\ was\ the\ given\ total\ length\ of\ PS\ in\ the\ problem,\ LHS=RHS\\Hence,\\The\ given\ statement\ is\ true.`