MATH

posted by .

Find the length of segment RS if S between R and T, the length of RS is 1/3 the length of segment RT, RS=3x-3 and ST=2x+6.

  • MATH -

    RS + ST = RT
    RT = 3RS
    RS + ST = 3RS
    3x-3 + 2x+6 = 3(3x-3)
    5x + 3 = 9x - 9
    4x = 12
    x = 3

    RS = 6
    ST = 12
    RT = 18

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Math

    Find the length of segment BC if segment BC is parallel to segment DE and segment DC is a medsegment of triangle ABC. A(-3,4) E(4,3) D(1,1) B and C do not have coordinates
  2. geometry

    The lengths of segments PQ and PR are 8 inches and 5 inches, respectively, and they make a 60-degree angle at P. (a) Find the area of triangle PQR. (b) Find the length of the projection of segment PQ onto segment PR. (c) Find the length …
  3. geometry

    The lengths of segments PQ and PR are 8 inches and 5 inches, respectively, and they make a 60-degree angle at P. (a) Find the area of triangle PQR. (b) Find the length of the projection of segment PQ onto segment PR. (c) Find the length …
  4. math

    Two secant segments are drawn to a circle from a point outside the circle. The external segment of the first secant segment is 8 centimeters and its internal segment is 6 centimeters. If the entire length of the second secant segment …
  5. geometry

    A segment 12" long is divided into two segments having lengths in the ratio of 2:3. Find the length of each segment. (Hint: Let 2x and 3x represent the length of the parts.) x = ?
  6. goemetry

    A segment is divided into two parts having lengths in the ratio of 5:3. If the difference between the length of the parts is 6," find the length of each part. x = ?
  7. Geometry

    In the figure, square WXYZ has a diagonal of 12 units. Point A is a midpoint of segment WX, segment AB is perpendicular to segment AC and AB = AC. What is the length of segment BC?
  8. Math

    Points X and Y are on a number line, and Y partitions XZ segment into two parts so that the of the length of XY segment to the length of YZ segment is 5:7. The coordinate of x is 1.3, and the coordinate of Y is 3.8. What is the coordinate …
  9. math

    Points X and Y are on a number line, and Y partitions XZ segment into two parts so that the of the length of XY segment to the length of YZ segment is 5:7. The coordinate of x is 1.3, and the coordinate of Y is 3.8. What is the coordinate …
  10. math

    Points X and Y are on a number line, and Y partitions XZ segment into two parts so that the of the length of XY segment to the length of YZ segment is 5:7. The coordinate of x is 1.3, and the coordinate of Y is 3.8. What is the coordinate …

More Similar Questions