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nata0808 [166]
2 years ago
6

M is between N and O. Find NO. NM = 17 MO = 3x - 5 NO = 5x + 2

Mathematics
2 answers:
hoa [83]2 years ago
7 0

Answer:

NO = 27

Step-by-step explanation:

Given that M is between NO , then

NO = NM + MO , that is

5x + 2 = 17 + 3x - 5

5x + 2 = 3x + 12 ( subtract 3x from both sides )

2x + 2 = 12 ( subtract 2 from both sides )

2x = 10 ( divide both sides by 2 )

x = 5

Then

NO = 5x + 2 = 5(5) + 2 = 25 + 2 = 27

Sonbull [250]2 years ago
5 0
NM + MO = NO
17 + 3x - 5 = 5x + 2
Combine like terms (17 - 5)
12 + 3x = 5x + 2
Subtract 3x from both sides (3x - 3x) (5x - 3x)
12 = 2x + 2
Subtract 2 from both sides (2 - 2) (12 - 2)
10 = 2x
Divide 2 from both sides (2/2) (10/2)
X = 5

NO = 5x + 2
NO = 5(5) + 2
NO = 25 + 2
NO = 27
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