UV has the endpoints U (0,3) and V (-4,-5). Which shows the correct calculation for finding the x- coordinate of the point that partitions the line segment into a 4:3 ratio?

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

i dont know what you want me to answer for this but im guessing 2: 11?