When you have two parallel lines being cut by a transversal, you can use the next statements for the angles:
The measurement of the angles in green is the same (are congruents)
The measurement of the angles in blue is the same (are congruents)
An angle in green is a complementary angle with an angle in blue. (The addition of the two angles has to be 180º)
You know that:

As the angle 3 is congruent with angle 2:
Answer:

Step-by-step explanation:
6 symbols and 4-symbol code so number of combinations wich doesn't contain the same symbol twice would be:
6•5•4•3 = 360
If code starts with a star followed by triangle that means only one posibility for first two symbols and code doesn't containing the same symbol twice means that left 4 symbols for next two.
So number of combinations of code starting with a star followed by triangle and doesn't containing the same symbol twice will be:
1•1•4•3 = 12
The probability that a randomly chosen code starts with a star followed by triangle and doesn't contain the same symbol twice:

Answer:
$64
Step-by-step explanation:
We have been given that a local food mart donates 20% of it's Friday's sales to charity.
This Friday the food mart had sales totaling 320.00 dollars.
To find the the amount donated to the charity, we will find 20% of $320.



Therefore, $64 were donated to the charity.
Answer:
1 3/15
1 5/15
Step-by-step explanation:
To find the total length of the two copper pipes, we need to add them together.
2 5/12 + 3 7/12 = 5 12/12
Since 12/12 = 1 or a whole, we can simplify this further.
5 12/12 = 6
Hope this helps!