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If AB=2x BC=x+20 and AC=50 what is the value of x

User Indhi
by
4.2k points

1 Answer

2 votes

Answer:

x = 10

Explanation:

AC = AB + BC

Substitute the values for the line segments:

50 = (2x) + (x + 20)

50 = 2x + x + 20

Combine like terms:

50 = 3x + 20

Subtract 20 from both sides:

30 = 3x

Divide both sides by 3:

10 = x

Check your work:

50 = 2(10) + 10 + 20

50 = 20 + 30

50 = 50

Correct!

User J Miller
by
4.1k points