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Umnica [9.8K]
3 years ago
5

Solve for x A) 42 B) 40 C) 45 D) 38

Mathematics
1 answer:
alexgriva [62]3 years ago
3 0

Answer:

x = 40

Step-by-step explanation:

Using similarity theorem, we have the following:

\frac{24}{24 - 15} = \frac{x}{x - 25}

Solve for x

\frac{24}{9} = \frac{x}{x - 25}

Cross multiply

24(x - 25) = x(9)

24x - 600 = 9x

Subtract 24x from each side

- 600 = 9x - 24x

- 600 = -15x

Divide both sides by -15

40 = x

x = 40

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Answer:

x = (-27)/11

Step-by-step explanation:

Solve for x:

(-11 x)/54 - 1/2 = 0

Put each term in (-11 x)/54 - 1/2 over the common denominator 54: (-11 x)/54 - 1/2 = (-27)/54 - (11 x)/54:

(-27)/54 - (11 x)/54 = 0

(-27)/54 - (11 x)/54 = (-11 x - 27)/54:

(-11 x - 27)/54 = 0

Multiply both sides of (-11 x - 27)/54 = 0 by 54:

(54 (-11 x - 27))/54 = 54×0

(54 (-11 x - 27))/54 = 54/54×(-11 x - 27) = -11 x - 27:

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-11 x - 27 = 0

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27 - 27 = 0:

-11 x = 27

Divide both sides of -11 x = 27 by -11:

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(-11)/(-11) = 1:

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Multiply numerator and denominator of 27/(-11) by -1:

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