Simplify the following expression. 99 - 3[15 - (2 + 1)]

Mathematics

2 answers:

marusya05 [52]3 years ago

7 0

Steps

99-3(15-(2+1))

3(15-(2+1))=36

add the numbers: 2+1=3

=3(15-3)

Subtract the numbers: 15-3=12

=3 times 12

multiply the numbers: 3 times 12=36

=36

=99-36

subtract the numbers: 99-36=63

=63

Vikki [24]3 years ago

6 0

Answer:

Step-by-step explanation:

2+1= 3

15-3= 12

12 x 3 = 36

99 - 36

= 63

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3 years ago

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
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