math

posted by .

points a,b,c,and d lie on a straight line in the given order. AC = 25 cm and BD = 46 cm. The ratio of length CD to AB is 5/2. Find the length of line segment BC in cm.
sorry miss the CD part

  • math -

    ahh, that's better

    make a sketch of a line and label point A, B, C, and D
    using CD : AB = 5:2
    label AB = 2x and CD = 5x , giving you the 5:2 ratio

    From AC = 25 you can now label BC as 25-2x
    From BD = 46 you can label BC as 46-5x

    so obviously 25-2x = 46-5x
    x = 7
    sub back in either of BC expressions, to get BC = 11

  • math -

    thanks :D

  • math -

    given formula fro "c" : A= one half (h b + b c)

  • math -

    11

  • math -

    The answer is 11!!!😄😄😄😄😄😃😃😃😃😀😀😀😉😉😉😉😉😀😀😀

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. math

    points a,b,c,and d lie on a straight line in the given order. AC = 25 cm and BD = 46 cm. The ratio of length AB is 5/2. Find the length of line segment BC in cm
  2. maths

    points A,B,C and D lie on a straight line in the given order. AC=25cm and BD=46cm. the ratio of length CD to length AB is 5/2. find the length of line segment BC in cm.
  3. maths

    the line passes through the points s(6,6) and T(0,-2) determine the gradient of the line the equation of the line the midpoint of the line segment,TS the length of the line segment,TS
  4. Maths

    Two points C and P lie on a straight line such that C is due north of P.Another point T is 6km away from the line CP on a bearing of 150 degree from C and 40 degree from P.What is the length of the line CP?
  5. Mathematics

    Two points C and P lie on a straight line such that C is due north of P.Another point T is 6km away from the line CP on a bearing of 150 degree from C and 40 degree from P.What is the length of the line CP?
  6. Mathematics

    Two points C and P lie on straight line such that C is due north of P.Another point T is 6km away from the line CP on a bearing of 150 degree from C and 40 degree from P.what is the length of the line CP?
  7. mathematics

    points P and Q are both in the line segment AB and on the same side of its mid point p divides AB in the ratio 2:3 and Q divides in the ratio 3:4. if PQ=2 then find the length line segment AB
  8. Math

    Points P and Q are both in the line segment AB and on the same side of its midpoint. P divides AB in the ratio 2:3, and Q divides AB in the ratio 3:4. If PQ=2, then find the length of the line segment AB.
  9. Maths

    the points A,B,C and D lie on a straight line. The ratio of the length of AB to the length of BC is 3:4 and the ratio of the length of AC to the length of CD is 2:1. Find the ratio of the length of BC to the length of AD ?
  10. CAMBRIDGE

    Points P and Q are both in the line segment AB and on the same side of its midpoint. P divides AB in the ratio 2 : 3, and Q divides AB in the ratio 3 : 4. If PQ = 2, then find the length of the line segment AB.

More Similar Questions