The graph of a proportional relationship contains the point (4, 20). What is the constant of proportionality? Enter your answer in the box.

9514 1404 393

  5

Step-by-step explanation:

A proportional relationship has the equation ...

  y = kx . . . . . . where k is the constant of proportionality

Solving this equation for k, we get ...

  k = y/x

Filling in the given values (x, y) = (4, 20) gives ...

  k = 20/4

  k = 5

The constant of proportionality is 5.

11.2

step-by-step explanation:

when doing tangent the tangent of the angle is equal to the opposite side from the angle over the adjacent side to the angle.

tan43 = x / 12

move 12 over by multiplying each side by 12

12tan43 = x

x = about 11.2