Using the formula y = kx
If y is 27 when x is 3, what is the constant of variation?

y=kx

y/x=kx/x (divided both side by x to find k)

k=y/x

k=27/3

k=9.

x = 20

Step-by-step explanation:

To find the value of x, write a proportion between the two similar triangles.

A proportion is an equation of equal ratios.

To solve cross multiply the numerator and denominator of each fraction.

11(5x+20) = 132(10)

55x + 220 = 1320

55x = 1,100

x = 20