What must be the length of ZY in order for ZY to be tangent to circle X at point Y?

Hello! Remember you have to write complete questions in order to get good and exact answers. I'll assume that you have a circle X having two tangent lines that intersect at a point outside the circle. From geometry, we know that from any point outside a circle, two tangents to that circle are always congruent to each other if they meet at the mentioned point. So if the point of intersection is called Z, and a line is tangent to the circle at a point Y, ZY must be equal to ZW because ZW is tangent to the same circle at point W and meets ZY at a point outside the circle, then it is true that:

So the ZY must be equal 3 in order for ZY to be tangent to circle X at point Y

1. x> -5

2. x< 8

step-by-step explanation:

1. 2x> -10

divide by 2 from both sides of equation.

2x/2> -10/2

simplify, to find the answer.

-10/2=-5

x> -5 is the correct answer.

2. 3x< 24

divide by 3 from both sides of equation.

3x/3< 24/3

simplify, to find the answer.

24/3=8

x< 8 is the correct answer.

i hope this you, and have a wonderful day!

the answer is a.

step-by-step explanation:

in three games of golf, alex shot two under par four times.