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umka2103 [35]
3 years ago
10

Please help me find x

Mathematics
2 answers:
lara [203]3 years ago
6 0

Answer:

37°

Step-by-step explanation:

figure consists of 2 6 side polygon

sum of interior angles: 180 x (6 - 2) x 2 =1440

x = 1440 - (135 + 107 + 126 + 325 + 125 + 95 + 120 + 90 + 280) = 37°

avanturin [10]3 years ago
6 0

Answer:

x=37

Step-by-step explanation:

You split the figure in 2 polygons and write the equations ,knowing the sum of the angles  of a polygon is (n-2)*180 where n is the  number of the angles .

you write  the equations

125+95+120+90+a+b=4*180=720

a+b=720-430

a+b=290

and then  

135+107+126+(325-a)+(280-b)+x=720

973-(a+b)=720

973-290+x=720

683+x=720

x=720-683

x=37

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What number gives a result of −5 when 9 is subtracted from the quotient of the number and 6?
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Step-by-step explanation:

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x_{1}=\frac{-b-\sqrt{b^2-4ac}}{2a}=\frac{-12-\sqrt{12^2-4 \cdot9 \cdot (-5)}}{2 \cdot 9}=\frac{-12-\sqrt{144+180}}{18}=\\\\=\frac{-12-\sqrt{324}}{18}=\frac{-12-18}{18}=\frac{-30}{18}=-\frac{5}{3}\\\\x_{2}=\frac{-b+\sqrt{b^2-4ac}}{2a}=\frac{-12+\sqrt{12^2-4 \cdot9 \cdot (-5)}}{2 \cdot 9}=\frac{-12+18}{18}=\frac{6}{18}=\frac{1}{3} \\\\Answer: \ x=-\frac{5}{3}\ \ and \ \ x=\frac{1}{3}
 

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