HELPPP FASTT The points O, P, Q and R all lie on the same line segment, in that order, such that the
ratio of OP : PQ: QR is equal to 4:5: 2. If OR = 11, find QR.

9514 1404 393

  QR = 2

Step-by-step explanation:

The sum of ratio units is 4+5+2 = 11, corresponding to the total length OP +PQ +QR = OR. OR is also 11, so each ratio unit stands for 11/11 = 1 length unit.

The number of ratio units associated with QR is 2, so the length of QR is 2.

207/8 is the right

step-by-step explanation:

points a and b are equidistant from the desired line, so the line you find by using them will go through point r.

using points other than a and b will give the desired line only if they are equidistant from r. if they are randomly located, the perpendicular line you create will not necessarily go through point r, hence will not be a solution to the problem.