Given the perimeter of a rectangle and either the length or width, find the unknown measurement using the appropriate formula. the perimeter is 76 cm and the length is 20 cm. what is the width of the rectangle? show all your work

The fromula of a perimeter of rectangle:

P = 2(l + w)

We have P = 76 cm and l = 20 cm.

Substitute:

2(20 + w) = 76      use distrubutive property

(2)(20) + (2)(w) = 76

40 + 2w = 76     subtract 40 from both sides

2w = 36      divide both sides by 2

w = 18

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).