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3 years ago

Options are A. 17 B. 50 C. 19 D.21

Mathematics

1 answer:

ad-work [718]3 years ago

7 0

Answer:

C. $19$

Step-by-step explanation:

BD = DC because angles ADC and ADB are right angles.

Thus, $4x-5=2x+7$

Add 5 to both sides:

$4x-5+5=2x+7+5$

$4x=2x+12$

Subtract 2x from both sides:

$4x-2x=2x+12-2x$

$2x=12$

Divide both sides by 2:

$\frac{2x}{2}=\frac{12}{2}$

$x=6$

DC $=4x-5$

$=4(6)-5$

$=24-5$

$=19$

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Alright, lets get started.

Suppose number of books Jim have = x

Sam has twice as many books as Jim. So,

Number of books Sam have = 2x

If Sam gives 12 books to Jim, they will have the same number of books.

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When Jim gets 12 books from Sam, his books will be $= x + 12$

And as per given question, they both now have equal books, so

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Adding 12 in both sides

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Subtracting x from both sides

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Answer:

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Answer:

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