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baherus [9]
3 years ago
9

Please help and also what is the measure of m

Mathematics
2 answers:
Fofino [41]3 years ago
5 0
See attached picture for the answers:

Kobotan [32]3 years ago
5 0
∠MNL=43°
ONP is vertical to MNL 
so ONP =43°
MNL+LNO=180 as linear pair
43+LNO=180
LNO=180-43=137
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Aliun [14]
The numbers you are looking for are -11 and -1.
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3 years ago
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Problems 2.21, 2.22, 2.23
RoseWind [281]

Statements can be proved by contrapositive, contradiction or by induction.

  • <em>2.21 and 2.23 are proved by contrapositive</em>
  • <em>2.22 is proved by induction</em>

<u />

<u />

<u>2.21: If </u>n^3<u> is even, then n is even (By contrapositive)</u>

The contrapositive of the above statement is that:

<em>If n is odd, then  </em>n^3<em> is odd</em>

Represent the value of n as:

n = 2k + 1, where k \ge 0

Take the cube of both sides

n^3 = (2k + 1)^3

Expand

n^3 = 8k^3 + 6k^2 + 6k + 1

Group

n^3 =[ 8k^3 + 6k^2 + 6k] + 1

Factor out 2

n^3 =2[4k^3 + 3k^2 + 3k] + 1

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w =4k^3 + 3k^2 + 3k

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n^3 =2w + 1

The constant term (i.e. 1) means that n^3 is odd.

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<em>i.e. If n is odd, then  </em>n^3<em> is odd</em>

<u />

<u>2.22  </u>3n + 4<u> is even, if and only if n is even</u>

We have: 3n + 4<u />

<u />

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<u>2.22: </u>s \ne -1<u> and </u>t \ne -1<u>, then </u>s + t + st \ne -1<u />

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The contrapositive of the above statement is:

If s = -1 and t=-1, then s + t + st = -1

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s + t + st = -1

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-1 -1 -1 \times -1 = -1

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Read more about proofs  at:

brainly.com/question/19643658

7 0
3 years ago
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snow_tiger [21]

Answer:

down below

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Naya [18.7K]
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Simplify: –4(x – 5) + 3(a – 7)
Serga [27]
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8 0
3 years ago
Read 2 more answers
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