Answer:
NP = 43
LNO = 137
MNP = 137
Step-by-step explanation:
MNL is a vertical angle to PNO, therefore they are equal
MNL = PNO
MNL = 43 = PNO
MNL and LNO are supplementary angles. They add to 180 degrees
MNL + LNO = 180
43+LNO = 180
Subtract 180 from each side
43-43 +LNO = 180-43
LNO = 137
LNO and MNP are vertical angles. Vertical angles are equal
LNO = MNP
137=MNP
I didnt have room for 7 so ill just write it here
20O-12x<60
-12x<-140
X>11.6666..or 11 2/3
The 3 consecutive integers are
n
n + 1
n + 2
Then
n2 + (n + 1)2 + (n + 2)2 = 194
n2 + (n2 + 2n + 1) + (n2 + 4n + 4) = 194
3n2 + 6n + 5 = 194
3n2 + 6n - 189 = 0
n2 + 2n - 63 = 0
(n - 7)(n + 9) = 0
n = 7 or -9
If n = 7, the 3 integers are 7, 8, and 9
If n = -9, the 3 integers are -9, -8, and -7
Mark brainliest please
Hope this helps you
Answer:
r = 5
Step-by-step explanation:
12 - 1/5r = 2r + 1
12 - 0.2r = 2r + 1
12 - 0.2r + 0.2r = 2r + 0.2r + 1
12 = 2.2r + 1
12 - 1 = 2.2r + 1 - 1
2.2r = 11
2.2r ÷ 2.2 = 11 ÷ 2.2
r = 5
Answer:

Step-by-step explanation:
Solve by Graphing.
Graph the lines.
When we graphed them, the intercepted at point (5,-3).
The solution the the system of equations is (5,-3).