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wolverine [178]
2 years ago
10

In the diagram below B is the midpoint of AC if AB equals 2X and BC equals X squared -24 find the value of X and the length of A

C
Mathematics
2 answers:
Nadya [2.5K]2 years ago
4 0

Answer:

B is the midpoint, so AB = BC; solve for x, which is 4. Then substitute 4 into 3x+2 (which is DE) and get 14.

Step-by-step explanation:

pantera1 [17]2 years ago
4 0

Answer:

  x = 6

  AC = 24

Step-by-step explanation:

The midpoint divides the segment into two congruent parts.

  AB = BC

  BC -AB = 0

  x^2 -24 -2x = 0

  (x -1)^2 = 25 . . . . . . add 25, write as a square

  x = 1 +√25 = 6 . . . . only the positive solution is of interest.

AC = 2(AB) = 2(2x) = 4(6) = 24

The value of X is 6, and the length of AC is 24 units.

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