Given: lines l and m are parallel, and line t is a transversal.
angle pair result/justification
1 and 2 are equal (vertical angles)
6 and 8 are equal (corresponding angles)
1 and 4 are equal (alternate exterior angles)
4 and 8 are supplementary angles (i.e. add up to 180 degrees, a straight angle)
Note:
alternate angles are on opposite sides of the transversal, and each attached to a different (parallel) line.
If they are both enclosed by the parallel lines, they are alternate interior angles (examples: angles 2 and 3, 6 and 7)
If they are both outside of the two parallel lines, they are alternate exterior angles (examples: angles 1 and 4, 5 and 8)
Answer:
Step-by-step explanation:
c
Answer:
x= -1
Step-by-step explanation:
<u><em>START</em></u> 29 - 6x = 5(1 - 6x)
1. Distribute
29 - 6x = 5 - 30x
2. Isolate the variable
~ <u>2a</u>. Add 30x to both sides
29 - 6x + 30x = 5 - 30x + 30x
~ <u>2b</u>. Subtract 29 from both sides
29 - 29 - 6x + 30x = 5 - 29 - 30x + 30x
3. Simplify
24x = -24
4. Solve
x = -1
<em><u>END</u></em>
Solution:
Give the following below

To find the cosine function, we will apply the general formula for cosine function below

To find the value of b


Substitute the values of the variables into the general formula for cosine function

Applying a graphing tool,
The graph of one cycle of the function is shown below