b. 48 C. 36 5. (x+4), (x+12), (x-1) and (x+5) are in proportion. Find the value of x. b. 12 a. 15 c. 16 d., 20

Question

b. 48
C. 36
5. (x+4), (x+12), (x-1) and (x+5) are in proportion. Find the value of x.
b. 12
a. 15
c. 16
d., 20

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Verity 4 years 2021-08-22T05:42:08+00:00 1 Answers 6 views 0

Answers ( )

    0
    2021-08-22T05:43:43+00:00

    Answer:

    c

    Step-by-step explanation:

    Expressing the proportion in fractional form , that is

    \frac{x+4}{x+12} = \frac{x-1}{x+5} ( cross- multiply )

    (x + 4)(x + 5) = (x + 12)(x – 1) ← expand both sides using FOIL

    x² + 9x + 20 = x² + 11x – 12 ← subtract x² + 9x from both sides

    20 = 2x – 12 ( add 12 to both sides )

    32 = 2x ( divide both sides by 2 )

    16 = x → c

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