Answer:
x = 147
Step-by-step explanation:
33 and x form a straight line which means they add to 180
x+33 =180
x = 180-33
x = 147
2.14x - 12.18 = -5.76
Since the inverse operation of subtraction is addition, add 12.18 to both sides.
2.14x=6.42
Now, since the inverse operation of multiplication is division, divide both sides by 2.14
x=3
![f(x)=x^2-2x-8\\\\g(x)=x-1\\\\f(x)=g(x)\to x^2-2x-8=x-1\ \ \ |-x+1\\\\x^2-3x-7=0](https://tex.z-dn.net/?f=f%28x%29%3Dx%5E2-2x-8%5C%5C%5C%5Cg%28x%29%3Dx-1%5C%5C%5C%5Cf%28x%29%3Dg%28x%29%5Cto%20x%5E2-2x-8%3Dx-1%5C%20%5C%20%5C%20%7C-x%2B1%5C%5C%5C%5Cx%5E2-3x-7%3D0)
Use the quadratic formula:
![ax^2+bx+c=0\\\\x_1=\dfrac{-b-\sqrt{b^2-4ac}}{2a};\x_2=\dfrac{-b+\sqrt{b^2-4ac}}{2a}](https://tex.z-dn.net/?f=ax%5E2%2Bbx%2Bc%3D0%5C%5C%5C%5Cx_1%3D%5Cdfrac%7B-b-%5Csqrt%7Bb%5E2-4ac%7D%7D%7B2a%7D%3B%5Cx_2%3D%5Cdfrac%7B-b%2B%5Csqrt%7Bb%5E2-4ac%7D%7D%7B2a%7D)
![x^2-3x-7=0\\\\a=1;\ b=-3;\ c=-7](https://tex.z-dn.net/?f=x%5E2-3x-7%3D0%5C%5C%5C%5Ca%3D1%3B%5C%20b%3D-3%3B%5C%20c%3D-7)
substitute
![b^2-4ac=(-3)^2-4\cdot1\cdot(-7)=9+28=37\\\\\sqrt{b^2-4ac}=\sqrt{37}\approx6.083](https://tex.z-dn.net/?f=b%5E2-4ac%3D%28-3%29%5E2-4%5Ccdot1%5Ccdot%28-7%29%3D9%2B28%3D37%5C%5C%5C%5C%5Csqrt%7Bb%5E2-4ac%7D%3D%5Csqrt%7B37%7D%5Capprox6.083)
![x_1=\dfrac{-(-3)-\sqrt{37}}{2\cdot1}=\dfrac{3-\sqrt{37}}{2}\approx\dfrac{3-6.083}{2}=-1.54\\\\x_2=\dfrac{-(-3)+\sqrt{37}}{2\cdot1}=\dfrac{3+\sqrt{37}}{2}\approx4.54](https://tex.z-dn.net/?f=x_1%3D%5Cdfrac%7B-%28-3%29-%5Csqrt%7B37%7D%7D%7B2%5Ccdot1%7D%3D%5Cdfrac%7B3-%5Csqrt%7B37%7D%7D%7B2%7D%5Capprox%5Cdfrac%7B3-6.083%7D%7B2%7D%3D-1.54%5C%5C%5C%5Cx_2%3D%5Cdfrac%7B-%28-3%29%2B%5Csqrt%7B37%7D%7D%7B2%5Ccdot1%7D%3D%5Cdfrac%7B3%2B%5Csqrt%7B37%7D%7D%7B2%7D%5Capprox4.54)
there is no that answer to choose from
<span>I also have such answers in the graphical method (look at the picture).</span>
Let's set the base of the triangle to x.
(x* 3/5) / 2= 2/5
Now just solve
x*3/5=4/5
x=4/3
The base has length 4/3= =1 1/3
Hope it helped!