# maths

posted by .

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.

• maths -

make a sketch on a number line of the given.
let BC = x
then AB = 25-x and CD = 46 -x

CD/AB = 5/2
(46-x)/(25-x) = 5/2
92 - 2x = 125-5x
3x = 33
x = 11

So BC = 11 cm

check:
then AB = 25-11= 14 and CD = 46-11 = 35
ration of CD/AB = 35/14 = 5/2

## 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. ### 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 CD to AB is 5/2. Find the length of line segment BC in cm. sorry miss the CD part
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