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

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

$3-6x=0$

$x=\frac{1}{2}$...............Answer