Question

B is the midpoint of AC and D is the midpoint of CE solve for X given BD equals 3X +5 and ae equals 4X +20?

Answer 1

x = 5

Explanation:

Refer the attached image.

B is midpoint of AC

D is midpoint of CE

So,

`AB=BC=CD=DE`

`BD=BC+CD= AB+DE=(1)/(2)(AE)`

`(3x+5)=(1)/(2) (4x+20)`

Solving for 'x' we get,

`3x+5=2x+10`

`3x-2x=10-5`

`x=5`

So the value of 'x' is 5.