How do you evaluate: To evaluate an algebraic expression, you have to substitute a number for each variable and perform the arithmetic operations. In the example above, the variable x is equal to 6 since 6 + 6 = 12. If we know the value of our variables, we can replace the variables with their values and then evaluate the expression.
BE and CD are parallel, so the triangles ABE and ACD are similar. Then the following relation holds:
AE/AD = AB/AC
10/(10 + 8) = x/(x + 6)
Solve for x :
10 (x + 6) = x (10 + 8)
10x + 60 = 18x
8x = 60
x = 60/8 = 7/5
Let's make an equation.
19,000x=24,320
This equation shows the percentage increase, which is x. Once we have x, we need to subtract 1 from it since in the equation the 1 shows that it's increeasing. All we need to do is divide both sides by 19,000.
24,320÷19,000
1,28-1=0.28; we need to multiply by 100 to find the increase.
0.28×100=28
So, the percentage increase is 28%.
