If: BC= 4x + 2, AB = 8x + 8, and AC = 22, Find BC.

Question

If:
BC= 4x + 2,
AB = 8x + 8, and
AC = 22,
Find BC.

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Helga 4 years 2021-08-10T13:13:51+00:00 1 Answers 17 views 0

Answers ( )

  1. binhan
    0
    2021-08-10T13:15:39+00:00
    Reply

    Answer:

    BC = 6.8

    Step-by-step explanation:

    The distance from A to B, then from B to C, is the same distance as from A to C.

    Thus,

    AB + BC = AC

    AB = 8x + 8

    BC = 4x + 2

    AC = 22

    AB + BC = AC

    (8x + 8) + (4x + 2) = 22

    Expanding the parenthesis:

    8x + 8 + 4x + 2 = 22

    8x + 4x + 8 + 2 = 22

    12x + 12 = 22

    Subtracting 12 from both sides:

    12x = 10

    Dividing both sides by 12:

    x = 10/12 = 1.2

    x = 1.2

    We’re looking for BC. As we know,

    BC = 4x + 2

    Let’s now put in x = 1.2 into this equation:

    BC = 4x + 2

    BC = 4 * 1.2 + 2

    Since 4 * 1.2 is 4.8:

    BC = 4.8 + 2

    BC = 6.8

    Answer: BC = 6.8

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