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N is between Mand Q MN-6X 4, and NO = 4x+2. If MO=20, what is MN?
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N Is Between Mand Q MN6X 4 And NO 4x2 If MO20 What Is MN 4 8 2 20 class=

Answer :

MRROYALGO

Answer:

[tex]MN = 9.2[/tex]

Step-by-step explanation:

Given

[tex]MN = 6x - 4[/tex]

[tex]NO = 4x + 2[/tex]

[tex]MO = 20[/tex]

Required

Find MN

Since N is between M and O, then:

[tex]MO = MN + NO[/tex]

This gives:

[tex]20 = 6x - 4 + 4x + 2[/tex]

[tex]20 = 6x + 4x- 4 + 2[/tex]

[tex]20 = 10x -2[/tex]

[tex]10x = 20 +2[/tex]

[tex]10x = 22[/tex]

[tex]x = 2.2[/tex]

To solve for MN, substitute 1.4 for x in [tex]MN = 6x + 4[/tex]

[tex]MN = 6 * 2.2 - 4[/tex]

[tex]MN = 9.2[/tex]

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