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Jack and Jim are playing tug of war. The ribbon at point B is tied at the midpoint of the rope. The length of AB can be represented x + 15, and the length of BC can be represented by 2(x - 5). What is the length of AB? (GM.2)​

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Answer :

MRROYALGO

Answer:

[tex]AB = 40[/tex]

Step-by-step explanation:

Given

[tex]AB =x + 15[/tex]

[tex]BC = 2(x - 5)[/tex]

Required

Find AB

Since B is the midpoint the:

[tex]AB = BC[/tex]

[tex]x + 15 = 2(x - 5)[/tex]

[tex]x + 15 = 2x - 10[/tex]

Collect Like Terms

[tex]2x -x = 15 +10[/tex]

[tex]x = 25[/tex]

Substitute 25 for x in [tex]AB =x + 15[/tex]

[tex]AB = 25+15[/tex]

[tex]AB = 40[/tex]

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