The two angles together form a straight angle, i.e. an angle of 180 degrees. This means that

Sum like terms:

Subtract 27 from both sides:

Divide both sides by 9:

The given angles are
M = 64
N = 48
where P is unknown. While we don't know P at first, we can solve for it. Recall that for any triangle, the three angles always add to 180 degrees
M+N+P = 180
64+48+P = 180
112+P = 180
112+P-112 = 180-112
P = 68
-------------------------------------------
So in summary so far
M = 64
N = 48
P = 68
The shortest side is opposite the smallest angle. The side MP is opposite the smallest angle N = 48
The longest side is going to be opposite the largest angle. In this case, side MN is opposite the largest angle P = 68
The medium side is opposite the medium angle. So NP is the medium side length
-------------------------------------------------------
Final Answers:
Shortest Side = MP
Medium Side = NP
Longest Side = MN
See the attached image for a visual summary
The ascending order would be: MP, NP, MN
Note: Something like MP is the same as PM. The order of endpoints for any given individual segment doesn't matter
Answer:
$425
Step-by-step explanation:
subtract 120 and 5 from his starting total to get how much he has after all his purchases. Then add 50 to that total to get your answer.
Answer:
hope this helps if not im sorry
Step-by-step explanation:
(2^3)^5
=2^(3*5)
= 2^15