Answer:
x=8
Step-by-step explanation:
The figure is shown in the attached figure.
We have, LK║OM. We need to find the value of x.
It is based on side-splitter theorem. If a line is parallel to third side of a triangle, then the points that intersects the two lines, it divides proportionally.
Using it in given problem. So,
![\dfrac{\text{NK}}{\text{KM}}=\dfrac{\text{NL}}{\text{LO}}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Ctext%7BNK%7D%7D%7B%5Ctext%7BKM%7D%7D%3D%5Cdfrac%7B%5Ctext%7BNL%7D%7D%7B%5Ctext%7BLO%7D%7D)
Nk = x+2, KM = x-3, NL = x and LO = x-4
So,
![\dfrac{x+2}{x-3}=\dfrac{x}{x-4}](https://tex.z-dn.net/?f=%5Cdfrac%7Bx%2B2%7D%7Bx-3%7D%3D%5Cdfrac%7Bx%7D%7Bx-4%7D)
Cross multiplying, we get :
![(x+2)(x-4)=x(x-3)\\\\x^2-4x+2x-8=x^2-3x\\\\-2x+3x=8\\\\x=8](https://tex.z-dn.net/?f=%28x%2B2%29%28x-4%29%3Dx%28x-3%29%5C%5C%5C%5Cx%5E2-4x%2B2x-8%3Dx%5E2-3x%5C%5C%5C%5C-2x%2B3x%3D8%5C%5C%5C%5Cx%3D8)
So, the value of x is 8.
![b_{n}=100b_{n-2}+b_{n-1}^2 \\ b_{1}=2 \\ b_{2}=5](https://tex.z-dn.net/?f=b_%7Bn%7D%3D100b_%7Bn-2%7D%2Bb_%7Bn-1%7D%5E2%20%5C%5C%20b_%7B1%7D%3D2%20%5C%5C%20b_%7B2%7D%3D5)
![b_{3}=100b_{3-2}+b_{3-1}^2 \\ b_{3}=100b_{1}+b_{2}^2 \\ b_{3}=100(2)+5^{2} \\ b_{3}=200+25 \\ b_{3}=225](https://tex.z-dn.net/?f=b_%7B3%7D%3D100b_%7B3-2%7D%2Bb_%7B3-1%7D%5E2%20%5C%5C%20b_%7B3%7D%3D100b_%7B1%7D%2Bb_%7B2%7D%5E2%20%5C%5C%20b_%7B3%7D%3D100%282%29%2B5%5E%7B2%7D%20%5C%5C%20b_%7B3%7D%3D200%2B25%20%5C%5C%20b_%7B3%7D%3D225)
![b_{4}=100b_{4-2}+b_{4-1}^{2} \\ b_{4}=100b_{2}+b_{3}^{2} \\ b_{4}=100(5)+225^{2} \\ b_{4}=500+50625 \\ b_{4}=51125](https://tex.z-dn.net/?f=b_%7B4%7D%3D100b_%7B4-2%7D%2Bb_%7B4-1%7D%5E%7B2%7D%20%5C%5C%20b_%7B4%7D%3D100b_%7B2%7D%2Bb_%7B3%7D%5E%7B2%7D%20%5C%5C%20b_%7B4%7D%3D100%285%29%2B225%5E%7B2%7D%20%5C%5C%20b_%7B4%7D%3D500%2B50625%20%5C%5C%20b_%7B4%7D%3D51125)
![b_{5}=100b_{5-2}+b_{5-1}^{2} \\ b_{5}=100b_{3}+b_{4}^{2} \\ b_{5}=100(225)+51125^{2} \\ b_{5}=22500+2613765625 \\ b_{5}=2613788125](https://tex.z-dn.net/?f=b_%7B5%7D%3D100b_%7B5-2%7D%2Bb_%7B5-1%7D%5E%7B2%7D%20%5C%5C%20b_%7B5%7D%3D100b_%7B3%7D%2Bb_%7B4%7D%5E%7B2%7D%20%5C%5C%20b_%7B5%7D%3D100%28225%29%2B51125%5E%7B2%7D%20%5C%5C%20b_%7B5%7D%3D22500%2B2613765625%20%5C%5C%20b_%7B5%7D%3D2613788125%20)
[tex]b_{3}=225[tex]
[tex]b_{4}=51125[tex]
[tex]b_{5}=2613788125[tex]
12,571.4286 you subtract 1000 from the total, and divide by 7.
Solve 5+57+4+6+9+2+58+532+790
The correct answer is 1463