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MArishka [77]
3 years ago
11

Hat is the measure of the unknown angle?

Mathematics
1 answer:
sineoko [7]3 years ago
6 0

Let on of the angle be x

ATQ

97 + x = 180

x = 180 - 97 (Angles on same line adds upto 180°) (Linear pair cuz 2 angles)

x = 83

The unknown angle is 83°

Must click thanks and mark brainliest

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\bf \begin{array}{lccclll}
&\stackrel{gallons}{amount}&\stackrel{\%}{quantity}&\stackrel{antifreeze}{quantity}\\
&------&------&------\\
\textit{80\% sol'n}&x&0.80&0.8x\\
\textit{10\% sol'n}&100&0.10&10\\
------&------&------&------\\
mixture&y&0.70&0.7y
\end{array}

so whatever "x" is, we know that x + 100 = y.

and we know that 0.8x + 10 = 0.7y.

\bf \begin{cases}
x+100=\boxed{y}\\
0.8x+10=0.7y\\
----------\\
0.8x+10=0.7\left( \boxed{x+100} \right)
\end{cases}
\\\\\\
0.8x+10=0.7x+70\implies 0.8x-0.7x=70-10\implies 0.1x=60
\\\\\\
x=\cfrac{60}{0.1}\implies x=600
6 0
3 years ago
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