Find the perimeter of the regular parallelogram.

Approx. 48 cm

Step-by-step explanation:

The two horizontal sides of this parallelogram have length 12 cm each.

The length of one slanting side can be estimated by (eye:  the base of the triangle partially outlined with a dashed line is approx. 3 cm.  Then, using the Pyth. Thm., we estimate the hypotenuse of this triangle to be

sqrt(3^2 + 10^2), or sqrt(109), which is approx. 10.45.

Thus, the estimated perimeter is

P = 2L + 2W, which, here, is

P = 2(12 cm) + 2(10.45 cm), or 44.9 cm.

The fourth answer, 48 cm, is the one closest to this estimated 44.9 cm.

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).