Two cyclists, 54 miles apart, start riding toward each other at the same time. one cycles 2 times as fast as the other, and they meet after 3 hours of riding. a. write an equation using the information as it is given above that can be solved to answer this problem. use the variable r to represent the speed of the slower cyclist.

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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

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