Question Number 147137 by mathdanisur last updated on 18/Jul/21
Answered by bramlexs22 last updated on 18/Jul/21
$$\mathrm{AB}\:=\:\mathrm{DC} \\ $$$$\Rightarrow\begin{pmatrix}{\:\:−\mathrm{4}}\\{\mathrm{m}−\mathrm{7}}\\{\:\:\:\:\:\mathrm{16}}\end{pmatrix}\:=\:\begin{pmatrix}{\mathrm{3}−\mathrm{n}}\\{−\mathrm{10}}\\{\mathrm{p}−\mathrm{10}}\end{pmatrix} \\ $$$$\:\blacktriangle\begin{cases}{\mathrm{n}=\mathrm{7}}\\{\mathrm{m}=−\mathrm{3}}\\{\mathrm{p}=\mathrm{26}}\end{cases}\:\:\Rightarrow\mathrm{m}+\mathrm{n}+\mathrm{p}\:=\:\mathrm{30} \\ $$
Commented by mathdanisur last updated on 18/Jul/21
$${thankyou}\:{Sir} \\ $$