"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 ....

i dont have an answer

step-by-step explanation:

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).