Farmer jones raises only pigs and geese. He wants to raise at most 16 animals. He wants no more than 12 geese. He spends $5 to raise a pig and $2 to raise a goose and has $50 available to spend. If he makes a profit of $4 per pig and $8 per goose, how many of each does he need to raise in order to maximize his profits?

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq

the slope of the line is 60

one point on the line is (40,10)

step-by-step explanation:

in the equation outside the parenthesis the equation always tells you the slope. in this case it is 60.

in the parenthesis is also says 40 which is x because it is near the x and 10 is y because it is near y.