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Ivanshal [37]
3 years ago
11

I will mark Brainliest What is the value of X one number is 78 https://static.k12.com/nextgen_media/assets/8124481-NG_IMB_SemB_S

T_Pt1_DP157_261_005_01.png
Mathematics
2 answers:
tatiyna3 years ago
5 0
You have two crossed lines. They form a total of 4 angles. The x and 78 are straight across from each other. When that happens, the two angles are labeled as vertically opposite angles. 

Vertically opposite angles are always equal

x = 78 <<<<<<<< answer
soldier1979 [14.2K]3 years ago
3 0
The right answer should be 78
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\displaystyle\bf\\2cos^2y -sin\,y -1=0~~~for~~0^o\leq y \leq360^o\\\\cos^2y=1-sin^2y\\\\2(1-sin^2y) -sin\,y -1=0\\\\2-2sin^2y-sin\,y-1=0\\\\-2sin^2y-sin\,y+2-1=0\\\\-2sin^2y-sin\,y+1=0~~~\Big|\times(-1)\\\\2sin^2y+sin\,y-1=0

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\displaystyle\bf\\\boxed{\bf sin\,y=x}\\\\2x^2+x-1=0\\\\x_{12}=\frac{-b\pm\sqrt{b^2-4ac}}{2a}=\frac{-1\pm\sqrt{1-4\cdot2\cdot(-1)}}{2\cdot2}=\\\\=\frac{-1\pm\sqrt{1+8}}{4}=\frac{-1\pm\sqrt{9}}{4}=\frac{-1\pm3}{4}\\\\x_1=\frac{-1+3}{4}=\frac{2}{4}=\boxed{\bf\frac{1}{2}}\\\\x_2=\frac{-1-3}{4}=\frac{-4}{4}=\boxed{\bf-1}\\\\sin\,y=\frac{1}{2}\\\\\boxed{\bf y_1=\frac{\pi}{6}~~or~~(30^o)}\\\\\boxed{\bf y_2=\frac{5\pi}{6}~~or~~(150^o)}\\\\sin\,y=-1\\\\\boxed{\bf y_3=\frac{3\pi}{2}~~or~~(270^o)}

 

 

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Step-by-step explanation:

I hope this helps.

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Step-by-step explanation:

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