Find the value of unknown if X and Y vary inversely.

x = 60, y = 12

Step-by-step explanation:

Given that x and y vary inversely then the equation relating them is

y = ← k is the constant of variation

To find k use the ordered pair (180, 3 ) , then

3 = ( multiply both sides by 180 )

540 = k

y = ← equation of variation

When y = 9, then

9 = ( multiply both sides by x )

9x = 540 ( divide both sides by 9 )

x = 60

When x = 45, then

y = = 12

25/4

step-by-step explanation:

call segment cd's length x. because dc and ab are parallel, angle acd and cab, so triangles adc and abc are similar and we can set up the equation x / ac = ac / ab, or x / 5 = 5 / 4 and x = 25/4.