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
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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
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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
First pic ; they are complementary angles , so C !!
second pic ; both angles are supplementary angles !! as sum is 180° !!
Answer:
3
Step-by-step explanation:
plug in (-1) for x
-2(-1) + 1
2 + 1
3
F(-4x)=4x+4x
set up the composite function and simplify!
The system of linear equations x + y = 35 and y = 4x represents the two numbers
<u>Solution:</u>
Given that, The sum of two numbers is 35
The second number, y, is equal to 4 times the first number "x"
We have to find which system of linear equations represent the two numbers? We have two conditions for two variables, so we can obtain two equations, which means a system of equations.
Now, 1st condition ⇒ sum of two numbers is 35 ⇒ x + y = 35
And, 2nd condition ⇒ second number is 4 times the first number ⇒ y = 4x
Hence, the equations, x + y = 35 and y = 4x represents the given numbers.