The salary before the increase was $48000.
Given:
![\Delta DHE\sim \Delta DGF](https://tex.z-dn.net/?f=%5CDelta%20DHE%5Csim%20%5CDelta%20DGF)
To find:
The value of x.
Solution:
We know that, corresponding sides of similar triangles are proportional.
Since,
, therefore
![\dfrac{HE}{GF}=\dfrac{DE}{DF}](https://tex.z-dn.net/?f=%5Cdfrac%7BHE%7D%7BGF%7D%3D%5Cdfrac%7BDE%7D%7BDF%7D)
On substituting the values from the figure, we get
![\dfrac{8}{12}=\dfrac{x}{x+2}](https://tex.z-dn.net/?f=%5Cdfrac%7B8%7D%7B12%7D%3D%5Cdfrac%7Bx%7D%7Bx%2B2%7D)
![\dfrac{2}{3}=\dfrac{x}{x+2}](https://tex.z-dn.net/?f=%5Cdfrac%7B2%7D%7B3%7D%3D%5Cdfrac%7Bx%7D%7Bx%2B2%7D)
On cross multiplication, we get
![2(x+2)=3x](https://tex.z-dn.net/?f=2%28x%2B2%29%3D3x)
![2x+4=3x](https://tex.z-dn.net/?f=2x%2B4%3D3x)
![4=3x-2x](https://tex.z-dn.net/?f=4%3D3x-2x)
![4=x](https://tex.z-dn.net/?f=4%3Dx)
Therefore, the value of x is 4.
Answer:
-17
Step-by-step explanation:
Plug in 3:
3 - 20 =
Solve:
3-20 = -17
1 is 4 and 4 and 4 is 11 and 5 is 15