Question

10

18
10+2x
2y+4
What is the value of x?
a) 3
b) 4
c) 6
d) 8

Answer 1

Answer = (b) 4

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We Know ::

ㅤ

In a Rectangle,

• ➸ Opposite Sides are Equal

ㅤ

So ::

`\begin{gathered} \\ \\ \begin{gathered} \; \; :\longmapsto \; \sf{10 + 2x = 18} \\ \\ \end{gathered}\end{gathered}`

`\begin{gathered} \\ \begin{gathered} \; \; :\longmapsto \; \sf{2x = 18 - 10} \\ \\ \end{gathered}\end{gathered}`

`\begin{gathered} \\ \begin{gathered} \; \; :\longmapsto \; \sf{2x = 8} \\ \\ \end{gathered}\end{gathered}`

`\begin{gathered} \\ \begin{gathered} \; \; :\longmapsto \; \sf{x = \cancel{(8)/(2)}} \\ \\ \end{gathered}\end{gathered}`

`\begin{gathered}\begin{gathered} \; \; :\longmapsto \;\underline{\boxed{\sf{\pmb{x = 4}}}} \; \pmb{\red{\bigstar}} \\ \\ \end{gathered}\end{gathered}`

`\begin{gathered} \\ \qquad{\rule{100pt}{10pt}} \end{gathered}`

Also ::

`\begin{gathered} \\ \\ \begin{gathered} \; \; :\longmapsto \; \sf{2y + 4 = 10} \\ \\ \end{gathered}\end{gathered}`

`\begin{gathered} \\ \begin{gathered} \; \; :\longmapsto \; \sf{2y = 10 - 4} \\ \\ \end{gathered}\end{gathered}`

`\begin{gathered} \\ \begin{gathered} \; \; :\longmapsto \; \sf{2y = 6} \\ \\ \end{gathered}\end{gathered}`

`\begin{gathered} \\ \begin{gathered} \; \; :\longmapsto \; \sf{y = \cancel{(6)/(2)}} \\ \\ \end{gathered}\end{gathered}`

`\begin{gathered}\begin{gathered} \; \; :\longmapsto \;\underline{\boxed{\sf{\pmb{y = 3}}}} \; \pmb{\red{\bigstar}} \\ \\ \end{gathered}\end{gathered}`

`\begin{gathered}\begin{gathered} \\ {\underline{\rule{170pt}{9pt}}} \end{gathered}\end{gathered}`