Answer:
1) m<1 = 25
2) m<4 = 155
3) m< 5 = 25
4) m<7 = 25
5) 110
6) 30.5
7) 74
Step-by-step explanation:
1)
x + 155 = 180
x = 25
2)
<4 = 155 because of vertical angle thm
3)
<5 = 25 (congruent to <1) b/c of corresponding angles thm
4)
<7 = <5 (25) because of vertical angles thm
5)
5x + 15 = 8x - 42
-3x = -57
x = 19
5(x) + 15
5(19) + 15 = 110
6)
180 - 110 = 70
3x + x + 4 + 70 = 180
4x + 74 = 180
4x = 106
x = 26.5
x+ 4 = 30.5
7)
180 - 115 = 65
x + 4 + 2x + 65 = 180
3x + 69 = 180
3x = 111
x = 37
2x = 74
Let U={1,2,3,4,5,6,7,8}A={2,3,6}B={2,4,5,7}C={1,7,8}Find the following use the roster method to write method to write the set. E
Ipatiy [6.2K]
A U B = set of all elements that are in both A or B:
A U B = {2, 3, 4, 5, 6, 7}
Here is a picture to see our answer.
For this case we have the following system of equations:

Equating both equations we have:

We must find the solutions, for this we factor. We look for two numbers that, when multiplied, result in 4 and when added, result in 5. These numbers are 4 and 1:

Then, the factorized equation is of the form:

Thus, the solutions are:

We look for solutions for the variable "y":

Thus, the system solutions are given by:
ANswer:

Answer:
$72 earned on monday
Step-by-step explanation:
Delta pays Pete Rose $360 per day in the maintenance department at air port. Pete became I'll Monday and went home after 1/5 of a day
Delta works for only 1/5 of the day
To get the amount earn , multiply the work done by the rate

So $72 earned on monday