What is the masure of angle C? I am not sure what the answer is. Please help.

Mathematics

2 answers:

mario62 [17]3 years ago

7 0

This is an equilateral triangle, because all sides are equal, so all angles are going to be equal also.

3*x=180
x=60⁰

Answer B. 60⁰

Debora [2.8K]3 years ago

6 0

Now, the fundamental rule of proper triangles is that all angles inside the triangle will ALWAYS add to 180. Another thing that we notice, is that each angle corresponds with the opposite side (Angle A goes with line BC). Know, if each angle corresponds with each side, and we see that all sides of the triangle are equal, that means that all angles are equal as well. Knowing this, the simple solution would be to divide 180 by 3. So, when we do this, we would then know that our answer is 60 degrees (if you have any questions/concerns, please ask me.)

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$\bf 3.659\textit{ can also be written as }\cfrac{3659}{1000}\textit{ therefore }3.6590909\overline{09}\\\\
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notice above, all we did, was isolate the "recurring part" to the right of the decimal point, so the repeating 09, ended up on the right of it.

now, let's say, "x" is a variable whose value is the recurring part, therefore then

$\bf \cfrac{3659.0909\overline{09}}{1000}\qquad \boxed{x=0.0909\overline{09}} \qquad \cfrac{3659+0.0909\overline{09}}{1000}\implies \cfrac{3659+x}{1000}$

now, the idea behind the recurring part is that, we then, once we have it all to the right of the dot, we multiply it by some power of 10, so that it moves it "once" to the left of it, well, the recurring part is 09, is two digits, so let's multiply it by 100 then,

$\bf \begin{array}{llllllll}
100x&=&09.0909\overline{09}\\
&&9+0.0909\overline{09}\\
&&9+x
\end{array}\quad \implies 100x=9+x\implies 99x=9
\\\\\\
x=\cfrac{9}{99}\implies \boxed{x=\cfrac{1}{11}}\\\\
-------------------------------\\\\
\cfrac{3659.0909\overline{09}}{1000}\qquad \boxed{x=0.0909\overline{09}} \quad \cfrac{3659+0.0909\overline{09}}{1000}\implies \cfrac{3659+x}{1000}
\\\\\\
\cfrac{3659+\frac{1}{11}}{1000}$

and you can check that in your calculator.

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