Question

Find x .

Select one:
a. 3/4
b. 1/2
c. 2
d. 4

Answer 1

we are given

BE=x

ED=x+10

AE=x+1

EC=x+3

we can see that two chords AC and BD are intersecting inside the circle

so, we can use property

`AE*EC=BE*ED`

now, we can plug values

`(x+1)*(x+3)=(x)*(x+10)`

now, we can multiply them

`x^2+4x+3=x^2+10x`

now, we can move all terms on left side

`x^2+4x+3-x^2-10x=0`

`3-6x=0`

`x=(1)/(2)`...............Answer