# 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

1. 👍
2. 👎
3. 👁
1. 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

1. 👍
2. 👎
2. thanks :D

1. 👍
2. 👎
3. given formula fro "c" : A= one half (h b + b c)

1. 👍
2. 👎
4. 11

1. 👍
2. 👎

1. 👍
2. 👎
6. need more help!!!!!!!!!!!!!!!!!

1. 👍
2. 👎

## Similar Questions

1. ### math

1. What is the slope of the line that passes through the points (-2, 5) and (1, 4)? a) -3 b) -2 c) -1/3 d) 1/3*** 2) a line has slope -5/3. Through which two points could this line pass? a) (12, 13),(17, 10) b) (16, 15), (13,

2. ### Algebra

The pair of points (6, y) and (10, -1) lie on a line with slope 1/4. What is the value of y? A. -5 B. -2 C. 2 D. 5 I think its C but Im not sure, help?

3. ### geometry

Decide which one of the following statements is false. a. any three points lie on a distinct line. b. three noncollinear points determine a plane. c. a line contains at least two points. d. through any two distinct points there

4. ### ALGEBRA HELP #3

The graph shows the functions f(x), p(x), and g(x): Graph of function g of x is y is equal to 1 plus the quantity 1.5 raised to the power of x. The straight line f of x joins ordered pairs negative 5, 3 and negative 3, negative 1

1. ### math (distance problem)

The points A, B, C, D, and E are located on a straight line in order. The distance from A to E is 20cm. The distance from A to D is 15cm. The distance from B to E is 10cm. C is halfway between B and D. Find the distance from A to

2. ### Math

Write the equation of each line using the given information. a. The points (−4,1) and (2,4) both lie on the line. b. m=−1 and the point (2,−1) lies on the line. c. It has the same slope as y=5 and passes through (1,1). d.

3. ### Math

Given that the points (16, −5) and (−40, 16) lie on a line, what is the equation of the line? Select two answers. A. y=−38x+1 B. y=−83x+1 C. y+5=−38(x−16) D. y+5=−83(x−16)

4. ### Maths

The points A , B , C, D and E are located on a straight line in that order. The distance from A to E is 20cm. Te distance from A to D is 15cm. The distance from B to E is 10com. C is halfway between B and D. What is the distance

1. ### MATH HELP

Which of the following statements best describes the graph of 4x − y = 1? It is a straight line joining the points (0, −1), (1, 3), and (−1, −5). It is a straight line joining the points (4, −3), (−1, 2), and (−4,

2. ### Math

Rewrite the following definition as a biconditional: Points that lie on the same line are collinear. A.) If a point lies on a line, then it is collinear. B.) If a point lies on a line with another point, then the two points are

3. ### math

A, B, C, and D are four points on the same straight line. The distances between the successive points are equal. If A is (1, -3), C is (4, a), and D is (b, 5). Find the values of a and b.

4. ### maths

The points A, B, C, D, and E are located on a straight line in order. The distance from A to E is 20cm. The distance from A to D is 15cm. The distance from B to E is 10cm. C is halfway between B and D. Find the distance from A to