Osvaldo’s teacher asked him to write an equivalent equation for length, l, in terms of perimeter, p, and width, w. he wrote:

step 2

Step-by-step explanation:

Given

p = 2l + 2w ( subtract 2w from both sides )

p - 2w = 2l ← correct step 1

Now, divide both sides by the multiplier 2

= l

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).