Astudent was asked to use the formula for the perimeter of a rectangle, p = 2ℓ + 2w, to solve for ℓ. the student came up with an answer, p − 2w = 2ℓ. what error did the student make? complete the explanation. then solve for ℓ.

So the student was correct in subtracting 2w from both sides, however, he cant solve for l unless he divides 2 on both sides so the l becomes by itself :)

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).