3 years ago

Solve for x in the diagram below

1 answer:

7 0

Answer: x° = 20

Steps:
100 + x + 3x = 180
x + 3x = 80
4x = 80
x = 80/4
x = 20

Check:
100 + x + 3x = 180
100 + 20 + 3(20) = 180
100 + 20 + 60 = 180
180 = 180 ✅

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frozen [14]

$\bf \begin{cases}
h(x)=(f\circ g)(x)\\
h(x)=\sqrt{x+5}\\
f(x)=\sqrt{x+2}
\end{cases}\\\\
-------------------------------\\\\
(f\circ g)(x)\implies f[\ g(x)\ ]\implies f[\ g(x)\ ]=\sqrt{g(x)+2}\qquad thus
\\\\\\
\sqrt{g(x)+2}=(f\circ g)(x)=h(x)=\sqrt{x+5}\qquad therefore
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\sqrt{g(x)+2}=\sqrt{x+5}\impliedby \textit{squaring both sides}\\\\\\
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