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Points A, B, and C are collinear. Find the value of x given AB = 3x, BC = 5x + 10. and AC = 74.

1 Answer

3 votes

AB + BC = AC

Replacing with the values:

3x + (5x + 10) = 74

(3x + 5x) + 10 = 74

8x + 10 = 74

10 is adding on the left, then it will subtract on the right

8x = 74 - 10

8x = 64

8 is multiplying on the left, then it will divide on the right

x = 64/8

x = 8

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