I will solve one for you to get you a idea so next u can solve all To know whether line is tangent toa circle or not we should know that that line is a tangent line of a circle if it intersects circle at single point. and this will always be perpendicular at radius so in problem 1)
diameter is given 7.5 and u can see they make a right triangle ABC if that is perpendicular so segment AB is tangent to a circle. Lets see by applying <span>Pythagorean Theorem </span>this is method we can say that this is in fact a right triangle
a^2=b^2=c^2 a,b are shorter side c is longer side (7.5)^2+(8)^2=(17)^2 56.25+64=289 120.25=289 both are not equal so they are not forming right triangle so segment AB is not a tangent line.