The angle bisectors of xyz intersect at point a, and the perpendicular bisectors intersect at point c. ab_xz what is the radius of the inscribed circle of xyz?

r=4.5 units

Step-by-step explanation:

The incenter is the point forming the center of a circle inscribed in the triangle.  It is constructed by taking the intersection of the angle bisectors of the three vertices of the triangle. Therefore, the point A is the incenter of the triangle XYZ.

The radius of the inscribed circle is obtained by dropping a perpendicular from the incenter to any of the triangle legs. Since AB⊥XZ, then AB is the radius of the inscribed circle.

Thus, r=4.5 units.

75 tickets have been sold so far.

step-by-step explanation:

in this question it is clearly mentioned that 45 children's tickets have been sold and this number is 60% of the total tickets sold.

now let's assume the total number of tickets sold be x.

then 60% of x = 45

⇒

⇒ x(.6) = 45

by dividing with .6 on both the sides of the equation

⇒ x = 75

therefore 75 tickets have been sold so far.

answer: b.

step-by-step explanation:

the y coordinate for point b is 0, and answer b is the only one with that y coordinate.