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Y_Kistochka [10]
4 years ago
7

20 POINTS AND BRAINLIEST

Mathematics
1 answer:
emmainna [20.7K]4 years ago
8 0
To solve this equation we must first plug in 5 for x.

\frac{1}{3}<span> (5 - 4x)
               </span>↓ 
\frac{1}{3} (5 - 4 · 5)

The next step would be to multiply 4 by 5 to get rid of the parenthesis within our main parenthesis.

\frac{1}{3} (5 - 4 · 5)

\frac{1}{3} (5 - 20)

The next step would be to subtract both of the numbers within the parenthesis.

\frac{1}{3} (-15)

Now we must multiply.

- \frac{1}{3} · 15 =  - \frac{1×15}{3}

- \frac{15}{3}

Now we simplify our answer to get our final answer.

-5
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Answer:

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Step-by-step explanation:

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3 years ago
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Helwp please thank uuu!
Minchanka [31]

Step-by-step explanation:

<h3><em><u>Given</u></em><em><u>,</u></em></h3>
  • GRAM is a parallelogram
  • m<GMA = 66°
  • m<GRP = 32°
  • m<PAM = 41°
<h3><em><u>Solutions</u></em><em><u>:</u></em></h3>

i) <em>Since</em><em>,</em>

Angles on the same side of a transversal in a parallelogram, there sum is 180° so,

<RGM + <GMA = 180°

=> <RGM = 180° - <GMA

=> <RGM = 180° - 66°

=> <em><u><RGM = </u></em><em><u>114</u></em><em><u>°</u></em><em><u> </u></em><em><u>(</u></em><em><u>Ans</u></em><em><u>)</u></em>

ii) <em>Since</em><em>,</em>

Opposite angles of a diagonal as a transversal (here RM) are equal so,

<em><GRP = <PMA = 32°</em>

As we have <GMA = 66° so,

=> <GMP = <GMA - <PMA

= 66° - 32°

=> <em><u><</u></em><em><u>GMP</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>34</u></em><em><u>°</u></em><em><u> </u></em><em><u>(</u></em><em><u>Ans</u></em><em><u>)</u></em>

iii) <em>Since</em><em>,</em>

Opposite angles of a parallelogram are equal so,

<em><</em><em>RGM</em><em> = <</em><em>RAM</em><em> = </em><em>114</em><em>°</em>

As we have <PAM = 41° so,

=> <GAR = <RAM - <PAM

= 114° - 41°

=> <em><u><</u></em><em><u>GAR</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>73</u></em><em><u>°</u></em><em><u> </u></em><em><u>(</u></em><em><u>Ans</u></em><em><u>)</u></em>

iv) <em>Since</em><em>,</em>

We got <PMA = 32° and <PAM = 41°, so by angle sum property of a triangle PMA,

=> <MPA = 180° - 32° - 41°

=> <em><u><</u></em><em><u>MPA</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>107</u></em><em><u>°</u></em><em><u> </u></em><em><u>(</u></em><em><u>Ans</u></em><em><u>)</u></em>

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It would be between 2.77 and 2.79
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gtnhenbr [62]
If it’s 67.8 repeating then just put a bar on top of the .8 .
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Read 2 more answers
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