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Dmitrij [34]
3 years ago
11

Point B is between points A and C. Find the length of AC if AB = 3x - 2, BC = 2x + 7 and AC = 4x + 10

Mathematics
1 answer:
kirill115 [55]3 years ago
3 0

Answer:

AC = 30

Step-by-step explanation:

Start with:

4x+10=3x-2+2x+7

Combine like terms.

4x+10=5x+5

Subtract 4x from both sides of the equation.

10=x+5

Subtract 5 from both sides of the equation.

x = 5

Then, substitute 5 for x in AC=4x+10

AC=4(5)+10

Multiply.

AC=20+10

Finally, add.

AC=30

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