Let r denote the population of rabbits in a geographic region and w the the number of wolves. the respective populations change in time according to the differential equations dr dt = 6r − 2w and dw dt = 2r + w . write the two differential equations as a matrix equation dx/dt = ax, where a is a 2 × 2 matrix and x is a two-component vector. if the initial populations are r(0) = w(0) = 30, what are r(t) and w(t)? after a long time, what is the ratio of rabbits to wolves?

m∠cdf = 43° , m∠gdf = 114°, m∠gde = 23°, m∠edh = 23° , m∠cdh = 157°

step-by-step explanation:

since, it is given that de bisects the angle gdh ⇒ de divides the angle gdh into two equal angles.

⇒ m∠gde = m∠edh

⇒ 8·x   - 1 = 6·x + 5

⇒ x = 3

so, m∠gde = 8·x - 1 = 23°

and m∠edh = 23°

now, it is given ∠cde is an straight angle so, m∠cde = 180°

⇒ m∠cdf + m∠fdg + m∠gde = 180°

⇒ 43° + m∠fdg + 23° = 180°

⇒ m∠fdg = 114°

again, m∠cde = m∠cdh + m∠edh = 180°

m∠cdh + 23° = 180°

⇒ m∠cdh = 157°

f(x)=2/3x+4/3 is the answer because is whose power in the senate is equal to the power of the speaker of the house?

step-by-step explanation:

unless if u could do my questions, if not i wouldn't want to

i believe the answer is c.