Question

is a rectangle with QT = 45 and RS = 5x - 5, find x

Answer 1

45=5x-5
+5 +5
50=5x
50/5
5x/5
10=x

Answer 2

Basically, the opposite sides are equal. You can equate.


\(\Large \color{MidnightBlue}{\Rightarrow 45 = 5x - 5 }\)
\(\Large \color{MidnightBlue}{\Rightarrow 5x = 50 }\)
\(\Large \color{MidnightBlue}{\Rightarrow x = 50 *{1 \over 5} = 10 }\)