Answer:
x=54
Step-by-step explanation:
these two angles are supplementary to each other. this is because alternate interior angles are congruent, and 2x+42 degrees is supplementary to the alternate interior angle of x-24 degrees. so, we can add these two numbers up and set it equal to 180.
2x+42+x-24=180
3x+18=180
3x=162
x=54
if this question is asking for x, 54 is the answer. if it is asking for the angle measures, plug in 54 for x for each angle and solve.
Answer:
Y=20
Step-by-step explanation:
y equals 20 because you simplify both sides of the equation then you have an isolated variable
Answer:

Step-by-step explanation:
The formula for calculate the Area of a rectangle is:

Where "l" is the lenght and "w" is the width.
And the formula for calculate the peimeter of a rectangle is:

Where "l" is the lenght and "w" is the width.
We know that the perimeter of the rectangular baking sheet is 58 inches and its area is 201.25 in². Then:

<u>The steps are:</u>
1. Solve for the "l" from the formula
:

2. Substitute
into the formula
and solve for "w":

Applying the Quadratic formula
, we get:

3. Substitute
into
:

4. Substitute
into
:

Therefore, since the value of the lenght of a rectangle must be greater that the value of the width, we can conclude that the lenght and the width of the rectangular baking sheet are:

X=4
First find the solution to (x+1) ft. I chose to guess the answer as 4 and it worked (you’ll have to guess). I then plugged 4 into the other equation 2x. It became 2•4. Solving give the side length of 8 ft. Then you have to check to make sure they both have the same area. To do this just solve the equations.
First rectangle- 4•4= 16 ft area
Second rectangle- 2•8 = 16 ft area
( I’m really sorry if this is confusing)