Answer:When two lines intersect they form two pairs of opposite angles, A + C and B + D. Another word for opposite angles are vertical angles. Vertical angles are always congruent, which means that they are equal. Adjacent angles are angles that come out of the same vertex.
here you go
Answer:
Sheet metal remaining = 4.1x
cost per square foot of sheet metal = $30
Step-by-step explanation:
Total sheet metal bought = 7.6 ft2
Total sheet metal used = 3.5 ft2
Given equation:
7.6x − 3.5x = 123
Where,
x = cost per square foot
7.6x − 3.5x
Sheet metal remaining = 4.1x
7.6x − 3.5x = 123
4.1x = 123
x = 123 / 4.1
x = $30
Cost per square foot = $30
Answer:
Step-by-step explanation:
Let 
, we proceed to transform the expression into an equivalent form of sines and cosines by means of the following trigonometrical identity:
(1)
(2)
Now we perform the operations: 
(3)
By the quadratic formula, we find the following solutions:
and 
Since sine is a bounded function between -1 and 1, the only solution that is mathematically reasonable is:
By means of inverse trigonometrical function, we get the value associate of the function in sexagesimal degrees:
Then, the values of the cosine associated with that angle is:
Now, we have that 
, we proceed to transform the expression into an equivalent form with sines and cosines. The following trignometrical identities are used:
(4)
(5)
If we know that and , then the value of the function is:
Answer:
The change in delta x would be 0 in the second option because the change is exactly the same.
