2700 seconds convert into higher units
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1
Answer:
❍ The angles of the Quadrilateral are x°, (x – 10)°, (x + 30)° and 2x° respectively.
⠀⠀⠀\underline{\bf{\dag} \:\mathfrak{As\;we\;know\: that\: :}}
†Asweknowthat:
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The sum of all angles of the Quadrilateral is 360°. Therefore,
\begin{gathered}:\implies\sf x + (x - 10)^\circ + (x + 30)^\circ + 2x = 360^\circ \\\\\\:\implies\sf x + x + x + 2x - 10 + 30 = 360^\circ \\\\\\:\implies\sf 3x + 2x - 10 + 30= 360^\circ \\\\\\:\implies\sf 5x + 20 = 360^\circ \\\\\\:\implies\sf 5x = 360^\circ - 20 \\\\\\:\implies\sf 5x = 340^\circ \\\\\\:\implies\sf x = \cancel\dfrac{340^\circ}{5} \\\\\\:\implies{\underline{\boxed{\frak{\purple{x = 68^\circ}}}}}\;\bigstar\end{gathered}
:⟹x+(x−10)
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+(x+30)
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+2x=360
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:⟹x+x+x+2x−10+30=360
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:⟹3x+2x−10+30=360
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:⟹5x+20=360
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:⟹5x=360
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−20
:⟹5x=340
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:⟹x=
5
340
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:⟹
x=68
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★
Hence,
First angle, x = 68°
Second angle, (x - 10)° = (68 - 10)° = 58°
Third angle, (x + 30)° = (68 + 30)° = 98°
Fourth angle, 2x = 2(68)° = 136°
\therefore{\underline{\sf{Hence, the\;greatest\;angle\;is\;\bf{136^\circ }.}}}∴
Hence,thegreatestangleis136
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V E R I F I C A T I O N :
As we know that sum of the all angles of Quadrilateral is 360°. And, we've measure of each angle. So, Let's verify :
\begin{gathered}\dashrightarrow\sf a + b + c + d = 360^\circ \\\\\\\dashrightarrow\sf 68^\circ + 58^\circ + 98^\circ + 136^\circ = 360^\circ \\\\\\\dashrightarrow{\boxed{\underline{\sf{360^\circ = 360^\circ}}}}\end{gathered}
⇢a+b+c+d=360
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⇢68
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+58
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+98
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+136
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=360
∘
⇢
360
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=360
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\therefore{\underline{\textsf{\textbf{Hence Verified!}}}}∴
Hence Verified!
Answered by
2
Answer:
This conversion of 2,700 seconds to minutes has been calculated by multiplying 2,700 seconds by 0.0166 and the result is 45 minutes.
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