Aperpendicular bisector, cd is drawn through point c on ab.

if the coordinates of point a are (-3, 2) and the coordinates of point b are (7, 6), the x-intercept of cd is[ a(3,0) b(18/5,0) c(9,0) d(45/2,0) ] . point [ a(-52,117) b(-20,57) c(32,-71) d(-54,-128) ] lies on cd.

The x-intercept of CD is B(18/5,0). The point C(32,-71) lies on the line CD.

Step-by-step explanation:

Given information: CD is perpendicular bisector of AB.

The coordinates of point A are (-3, 2) and the coordinates of point B are (7, 6).

Midpoint of AB is C.

The coordinates of C are (2,4).

The slope of line AB is

The product of slopes of two perpendicular lines is -1. Since the line CD is perpendicular to AB, therefore the slope of CD is

The point slope form of a line is

The slope of line CD is and the line passing through the point (2,4), the equation of line CD is

      .... (1)

The equation of CD is .

Put y=0, to find the x-intercept.

Therefore the x-intercept of CD is B(18/5,0).

Put x=-52 in equation (1).

Put x=-20 in equation (1).

Put x=32 in equation (1).

Put x=-54 in equation (1).

Only point (32,-71) satisfies the equation of CD. Therefore the point C(32,-71) lies on the line CD.

the entire expression should be subtracted from 30. to subtract the quantity, distribute the negative sign, which changes the signs on the terms. so, the –2 changes to positive and gets added to 30 instead of subtracted from it.

hope this ! ^w^

d. it is a convex pentagon because it has five sides and none of the sides would extend into the inside of the polygon.

step-by-step explanation: