Ribbon X is 3/4 as long as Ribbon Y. Ribbon Y is 8/11 as long as Ribbon Z. Ribbon X is 75cm shorter than Ribbon Z. What is the total length of the three ribbons?

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

d. 8

step-by-step explanation:

the given radical expression is:

we can rewrite this as:

we express as square numbers to get;

the exponents will now cancel out to give.

the correct answer is d

b. 153 students do not participate in sports and seventy-five 12th graders were surveyed