Create a random triangle, ∆ABC. Record the lengths of two of the sides of the triangle and the measure of the included angle. In this step, you’ll attempt to copy your original triangle using only two of its sides and the included angle. Follow these steps to construct the triangle: Draw a new line segment, DE , of any length, and place it anywhere on the coordinate plane, but not on top of ∆ABC. Find and record the ratio of the length of this line segment to one of the corresponding line segments on ∆ABC that you recorded in part A. Now multiply the ratio you calculated by the length of the other side of ∆ABC that you selected in part A. Record the resulting length. Locate the endpoint on DE that corresponds with the vertex of the angle you chose in part A. Using that point as the center, draw a circle with a radius equal to the length you calculated in the previous step. From the center of the circle, draw a ray at an angle to DE . Make the angle congruent to the angle of

i think it's b

step-by-step explanation:

because the graph is 2 above (0,0)

d

step-by-step explanation:

by observation, we can see that the the graph is simply the graph of y = |x| that has been shifted 4 units downwards and 3 units to the left.

we can recognize in choice d :

y = | x + 3 |   - 4 (rewriting in general form)

y = | x - (- 3) |   - 4

the "-4 " term means   that the graph has been shifted by 4 units in the negative y direction

the "-3 " term means   that the graph has been shifted by 3 units in the negative x direction

this matches our observation of the graph described above.

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).