The 3 inside angles of a triangle need to equal 180 degrees.
You are given 28 for one.
The second on is adding 58 + 77 = 135 degrees.
X = 180 - 28 - 135 = 17 degrees
Answer:
![x = - 1 + \sqrt{17}\\and\\x = - 1 - \sqrt{17}\\](https://tex.z-dn.net/?f=x%20%3D%20-%201%20%2B%20%5Csqrt%7B17%7D%5C%5Cand%5C%5Cx%20%3D%20-%201%20-%20%5Csqrt%7B17%7D%5C%5C)
Step-by-step explanation:
given equation
![x^2 +2x +1 = 17](https://tex.z-dn.net/?f=x%5E2%20%2B2x%20%2B1%20%3D%2017)
subtracting 17 from both sides
![x^2 +2x +1 = 17\\x^2 +2x +1 -17= 17-17\\x^2 +2x - 16 = 0\\](https://tex.z-dn.net/?f=x%5E2%20%2B2x%20%2B1%20%3D%2017%5C%5Cx%5E2%20%2B2x%20%2B1%20-17%3D%2017-17%5C%5Cx%5E2%20%2B2x%20-%2016%20%3D%200%5C%5C)
the solution for quadratic equation
is given by
x = ![x = -b + \sqrt{b^2 - 4ac} /2a \\\\and \ \\-b - \sqrt{b^2 - 4ac} /2a](https://tex.z-dn.net/?f=x%20%3D%20-b%20%2B%20%5Csqrt%7Bb%5E2%20-%204ac%7D%20%2F2a%20%5C%5C%5C%5Cand%20%5C%20%5C%5C-b%20-%20%5Csqrt%7Bb%5E2%20-%204ac%7D%20%2F2a)
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in our problem
a = 1
b = 2
c = -16
![x =( -2 + \sqrt{2^2 - 4*1*-16}) /2*1 \\x =( -2 + \sqrt{4 + 64}) /2\\x =( -2 + \sqrt{68} )/2\\x = ( -2 + \sqrt{4*17} )/2\\x = ( -2 + 2\sqrt{17} )/2\\x = - 1 + \sqrt{17}\\and\\\\x = - 1 - \sqrt{17}\\](https://tex.z-dn.net/?f=x%20%3D%28%20-2%20%2B%20%5Csqrt%7B2%5E2%20-%204%2A1%2A-16%7D%29%20%2F2%2A1%20%5C%5Cx%20%3D%28%20-2%20%2B%20%5Csqrt%7B4%20%20%2B%2064%7D%29%20%2F2%5C%5Cx%20%3D%28%20-2%20%2B%20%5Csqrt%7B68%7D%20%29%2F2%5C%5Cx%20%3D%20%28%20-2%20%2B%20%5Csqrt%7B4%2A17%7D%20%29%2F2%5C%5Cx%20%3D%20%20%28%20-2%20%2B%202%5Csqrt%7B17%7D%20%29%2F2%5C%5Cx%20%3D%20-%201%20%2B%20%5Csqrt%7B17%7D%5C%5Cand%5C%5C%5C%5Cx%20%3D%20-%201%20-%20%5Csqrt%7B17%7D%5C%5C)
thus value of x is
![x = - 1 + \sqrt{17}\\and\\x = - 1 - \sqrt{17}\\](https://tex.z-dn.net/?f=x%20%3D%20-%201%20%2B%20%5Csqrt%7B17%7D%5C%5Cand%5C%5Cx%20%3D%20-%201%20-%20%5Csqrt%7B17%7D%5C%5C)
Answer:
![\displaystyle y = 4x + 2](https://tex.z-dn.net/?f=%5Cdisplaystyle%20y%20%3D%204x%20%2B%202)
Step-by-step explanation:
![\displaystyle \frac{3y}{3} = \frac{4x + 12}{3} \\ \\ y = 4x + 2](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7B3y%7D%7B3%7D%20%3D%20%5Cfrac%7B4x%20%2B%2012%7D%7B3%7D%20%5C%5C%20%5C%5C%20y%20%3D%204x%20%2B%202)
I am joyous to assist you anytime.
70,000+9,000+30+1
Seventy thousand nine hundred thirty one