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Lapatulllka [165]
3 years ago
15

Find x if: - B is between A & C; -AB = x + 5; -BC = 2(x-3); and -AB ~= BC

Mathematics
1 answer:
aliya0001 [1]3 years ago
4 0

Answer:

The value of x = 11

Step-by-step explanation:

Given

  • B is between A and C.
  • AB = x+5
  • BC = 2(x - 3)
  • {\displaystyle {\overline {AB} ≅ {\displaystyle {\overline {BC}

Determining the value of x

As B is between A and C, so

{\displaystyle {\overline {AB} ≅ {\displaystyle {\overline {BC}

as

  • AB = x+5
  • BC = 2(x - 3)

so

x + 5 = 2(x-3)

x+5 = 2x-6

2x-x = 5+6

x = 11

Therefore, the value of x = 11

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