The rate of change of y with respect to x is proportional to the difference between y and 5. (a) Write a differential equation for the statement. (Use k for the constant of proportionality.) dy dx

Step-by-step explanation:

The rate of change of with respect to is proportional to the difference between and .

Rate of change of with respect to is equal to

Difference between and is equal to

The rate of change of with respect to is proportional to the difference between and .

So,

∝

Take as a constant of proportionality.

80° is the measure of gh

step-by-step explanation:

circle f is congruent to circle j

we have two circle with center f and j.

both circles are congruent. the radius of the circle would be equal.

see the attachment for the circle.

we are given ∠efd ≅ ∠gjh

therefore, arc (ed) = arc (gh)     (∴ circle f is congruent to circle j)

but ∠dfe=80°=arc (ed)

therefore, arc (gh) = 80°

thus, 80° is the measure of gh