"ab" is dilated by a scale factor of 3 to form "ab" point o, which lies on "ab" , is the center of dilation.
the slope of "ab" is (blank) the slope of "ab". "ab" is (blank) through point o.

The slope of AB is 3

The slope of A'B' is 3

A'B' passes through point  O.

Step-by-step explanation:

We have given:

AB is dilated by a scale factor of 3 to form "AB" Point O, which lies on "AB" , is the center of dilation.

If you look at the attached picture you will observe that the dilation with scale factor 3 stretching the line AB three times longer. As the dilation does not change the direction of the line, the slope will stay same.

If point O lies on AB and is the center of dilation, then the point O must also lie on A'B'.

Thus the answers are:

The slope of AB is 3

The slope of A'B' is 3

A'B' passes through point  O ....

(2x + 16) + (x) = 180

step-by-step explanation:

given,

abcd is a quadrilateral inscribed in a circle

angle a is labeled x plus 16, (x + 16)

angle b is labeled x degrees, (x)

angle c is labeled 6x minus 4, (6x – 4)

angle d is labeled 2x plus 16, (2x + 16)

what equation can be used to solve for angle b?

we know that the sum of the opposite angles of a simple quadrilateral inscribed in a circle is 180 degrees.

angle b is opposite angle d

therefore, angle b + angle d = 180

(x) + (2x + 16) = 180 

same as (2x + 16) + (x) = 180