Answer:
∠MNO = 75°
Step-by-step explanation:
∠mno = 1/2 ( arc MLP - arc MOP )
arc MLP = 241 and arc MOP = 91
so ∠MNO = 1/2 ( 241 - 91 )
241 - 91 = 150
150/2 = 75
Hence, ∠MNO = 75°
Answer:
x = 7
3x + 11 = 32
8x + 2 = 58
Step-by-step explanation:
3x + 11 + 8x + 2 = 90
11x + 13 = 90
11x = 77
x = 7
3x + 11 = 3(7) + 11 = 32
8x + 2 = 8(7) + 2 = 58
Answer:
100 degrees
Step-by-step explanation:
It's going through 140 and 40, 180 - 40 = 140
180 cause a flat line is 180 degrees
Answer:
Step-by-step explanation:
You draw a line right down the middle so it makes it to equal triangle
Answer:
Part A:
x + y = 80
x + 20 = y
Part B:
Pam spends 30 minutes practicing math every day.
Part C:
It is not possible for Pam to have spent 60 minutes practicing dance because this means she must have practiced math for 40 minutes (60 - 20 = 40). This would total out to 100 minutes of total practice, not 80 minutes. Therefore, this is impossible.
Step-by-step explanation:
Part A:
"She spends 80 minutes every day practicing dance and math."
x + y = 80
"She dances for 20 minutes longer than she works on math."
x + 20 = y
Part B:
Solve for x:
x + 20 = y
Isolate variable x:
x = y - 20
Plug in this new value for the first equation:
y - 20 + y = 80
Combine like terms:
2y - 20 = 80
Isolate variable y:
2y = 100
y = 50
Plug in the new value of y into any equation:
x + 50 = 80
Isolate variable x:
x = 30
Part C:
x + 20 = y
x + 20 = 60
x = 40
x + y = 80
40 + 60 = 80
100 = 80
Impossible.
