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Schach
3 months ago
11

If line y bisects AC, AB =4-5x, and BC =2x+25, find AC

Mathematics
1 answer:
tester [12.3K]3 months ago
7 0

Given B is the midpoint of points A and C, AC equals AB plus BC, and AB equals BC.

AB = 4 - 5x; BC = 2x + 25.

Set AB equal to BC:

4 - 5x = 2x + 25. Subtract 4:

-5x = 2x + 21. Subtract 2x:

-7x = 21. Divide by -7:

x = -3.

Since AB = BC, AC = 2×AB = 2×BC.

Calculate BC:

BC = 2(-3) + 25 = -6 + 25 = 19.

Therefore, AC = 2 × 19 = 38.

Final answer: AC = 38.

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