Sumi is constructing the inscribed circle for △def . she has already used her compass and straightedge to complete the part of the construction shown in the figure.

what could be her next step?

use the straightedge to draw the line through points e and p.

place the point of the compass on point p and draw an arc that intersects ef and df .

use the straightedge to draw dp−→− .

place the point of the compass on point p and draw an arc through points g and h.

The next step in the construction is:

Use the straightedge to draw DP−→

Step-by-step explanation:

The steps for the construction of inscribed circle is:

Clearly from the figure we could see that Sumi is trying to construct the angle bisector of ∠D as she has drawn the arcs GH by placing the point of compass at point D.

So now she need to join the Point D to Point P to get the angle bisector of ∠D.

Hence the next step in the construction is:

Use the straightedge to draw DP−→

a

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).