If y varies inversely as x and y equals 5 when x equals 3 find x when y is 15

x = 1

Step-by-step explanation:

Given that y varies inversely as x then the equation relating them is

y = ← k is the constant of variation

To find k use the condition y = 5 when x = 3

k = yx = 5 × 3 = 15, thus

y = ← equation of variation

When y = 15 then

15 = ( multiply both sides by x )

15x = 15 ( divide both sides by 15 )

x = 1

step-by-step explanation :

we know that

the measurement of the outer angle is the semi-difference of the arcs which comprises

in this problem

m< xzy is the outer angle

substitute the values

the measure of angle xoy is equal to

> by central angle

substitute the value