A, E and B lie on a straight line segment. C, D and B lie on a straight line segment. BD = 3m, CD = 12m and AB = 19m. Work out the length of BE. Give your answer as a decimal. please help

3.8m

Step-by-step explanation:

If A, E and B lie on a straight line segment. C, D and B lie on a straight line segment, based on their similarities,

AB/CB = BE/BD

Given

BD = 3m,

CD = 12m

AB = 19m.

CB = CD+BD

CB = 12+3 = 15m

On substituting

19/15 = BE/3

Cross multiply

15BE = 19×3

15BE = 57

BE = 57/15

BE = 3.8m

Hence the length of BE is 3.8m

3< x< 5

step-by-step explanation:

|x - 4| < 1

there are two solutions, one positive and one negative.   remember to flip the inequality when taking the negative solution

x-4 < 1       x-4 > -1

add 4 to each side

x-4+4 < 1+4       x-4+4 > -1+4

x< 5                 x> 3

3< x< 5