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muminat
3 years ago
8

Find the measure of each angle in the triangle.

Mathematics
1 answer:
makvit [3.9K]3 years ago
8 0
<A +<B + < C =180° ==>(5x+6) + (2x+1) + (6x+4) = 180°
13x = 180°-11° ==> 13x 169° and x =169/13 =13°

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Convert 0.45 (5 is a repeating number) to a fraction
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Let the given number be 'x',

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Multiply both sides by 10,

\begin{gathered} 10x=4.\bar{5} \\ 10x=4.5555555\ldots\ldots \end{gathered}

Subtract the equations,

\begin{gathered} 10x-x=4.5555\ldots-0.45555\ldots \\ 9x=4.5+0.0\bar{5}-(0.4+0.0\bar{5}) \\ 9x=4.5+0.0\bar{5}-0.4-0.0\bar{5} \\ 9x=4.1 \\ 9x=\frac{41}{10} \\ x=\frac{41}{90} \end{gathered}

Thus, the recurring decimal number is equivalent to the fraction,

0.4\bar{5}=\frac{41}{90}

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1 year ago
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