The perimeter of a rectangle is given by the following formula: P = 2W + 2L
To solve this formula for W, the goal is to isolate this variable to one side of the equation such that the width of the rectangle (W) can be solved when given its perimeter (P) and length (L).
P = 2W + 2L
subtract 2L from both sides of the equation
P - 2L = 2W + 2L - 2L
P - 2L = 2W
divide both sides of the equation by 2
(P - 2L)/2 = (2W)/2
(P - 2L)/2 = (2/2)W
(P - 2L)/2 = (1)W
(P - 2L)/2 = W
Thus, given that the perimeter (P) of a rectangle is defined by P = 2W + 2L ,
then its width (W) is given by <span>W = (P - 2L)/2</span>
Answer:

Step-by-step explanation:
In the question, we're given
. Therefore, the measure of these two angles must be equal.
To find the value of
, set these two angles equal to each other:

Add 26 and subtract
from both sides:

Divide both sides by 3:

Since
was labelled as
, substitute
to find its measure:

You can also substitute
into the label of angle D as angle A is congruent to angle D for easier calculations (
).
ratio of the diagonal to the side of the rectangle is 17/8 or 17:8
Step-by-step explanation:
Length of Diagonal = 34 inches
Length of side = 16 inches
Base= 30 inches
We need to find the ratio of the diagonal to the side of the rectangle.
ratio of the diagonal to the side of the rectangle = 
Putting values:

So, ratio of the diagonal to the side of the rectangle is 17/8 or 17:8
Keywords: ratio
Learn more about ratio at:
#learnwithBrainly
<h3>
It is a function</h3>
Why? Because each input maps to <u>exactly one</u> output. The input oval represents the domain (set of all possible inputs). The output oval is the range, which is the set of all possible outputs. If we had something like the input 0 mapping to the outputs 2 and 4 at the same time, then we wouldn't have a function.