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Rasek [7]
4 years ago
8

Find the measure of the third angle of a triangle given that the first two angles are 44o and 72 o. Show your work.

Mathematics
1 answer:
Tpy6a [65]4 years ago
6 0

Answer: The measure of the third angle of a triangle is 64°.

Step-by-step explanation:

Since we have given that

First angle = 44°

Second angle = 72°

Let the third angle be x.

As we know that the sum of all three angles of a triangle is supplementary.

44^\circ+72^\circ+x=180^\circ\\\\116^\circ+x=180^\circ\\\\x=180^\circ-116^\circ\\\\x=64^\circ

Hence, the measure of the third angle of a triangle is 64°.

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Answer:

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Step-by-step explanation:

Let the total number of people by 'x'.

\sf \text{Number of men =$ \dfrac{1}{4}*x$} \\

\sf \text{Number of women =$\dfrac{1}{3}x$}

Number of children = 100

When we subtract the total number of men and women from the total people 'x', we get the number of children.

\sf x - \left(\dfrac{1}{4}x+\dfrac{1}{3}x\right)= 100\\\\x - \left(\dfrac{1*3}{4*3}x+\dfrac{1*4}{3*4}x\right)=100\\\\

      x- \dfrac{4+3}{12}x=100\\\\x - \dfrac{7}{12}x   = 100\\\\ \dfrac{12}{12}x-\dfrac{7}{12}x = 100\\\\          \dfrac{5}{12}x=100\\

          \sf x = 100*\dfrac{12}{5}\\

          x = 20 * 12

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<h3>             Total number of people = 240</h3>
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Find the surface area of the given prism. Round to one decimal place if<br> necessary.
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Step-by-step explanation:

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I need to use the power rule (if m and n are real numbers and x doesn't equal 0, then (x^m)^n = x^mn... ) to simplify this fract
Keith_Richards [23]

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= 2x^{-6}y ^{21}\\\\

Step-by-step explanation:

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