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oksano4ka [1.4K]
3 years ago
12

Can anyone break this down to me?

Mathematics
2 answers:
GuDViN [60]3 years ago
7 0

Answer:

84+36=120

180-120= 60

90-60=30

30+86=116

180-116=64

? =64

rodikova [14]3 years ago
4 0

Answer:

64 degrees

Step-by-step explanation:

so... since where the triangles join is a right angle you should

1. work out the third angle of the bottom triangle

180 - 84 -36 = 60

2. since a right angle is 90..

90-60 = 30

3. which means the top triagnles angle is 30 degrees

4. 180 -86 - 30

= 64

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List the sides of triangle ΔMNP in ascending order (shortest to longest) if: Chapter Reference a m∠M = 64°, m∠N = 48°
scoray [572]
The given angles are 
M = 64
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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
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112+P-112 = 180-112
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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

-------------------------------------------------------

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

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