268. Just woke up though but I know it’s right
Answer:
v = 126°
Step-by-step explanation:
Since 54° and u are corresponding angles in parallel lines, they are equal, hence, u = 54°. u and v are Same Side Interior angles. In parallel lines, Same Side Interior angles are supplementary (meaning that they add up to 180°), therefore, v = 180 - u = 180 - 54 = 126°.
Hello, we know that for a and b real numbers

So,

Thank you.
Answer: The expressions for the length and width of the new patio are

And the area of the new patio is 384 sq. feet.
Step-by-step explanation: Given that Stephen has a square brick patio. He wants to reduce the width by 4 feet and increase the length by 4 feet.
The length of one side of the square patio is represented by x.
We are to write the expressions for the length and width of the new patio and then to find the area of the new patio if the original patio measures 20 feet by 20 feet.
Since Stephen wants to reduce width of the patio by 4 feet, so the width of the new patio will be

The length of the patio is increased by 4 feet, so the length of the new patio will be

Now, if the original patio measures 20 feet by 20 feet, then we must have

and

Therefore, the area of the new patio is given by

Thus, the expressions for the length and width of the new patio are

And the area of the new patio is 384 sq. feet.