Someone please help me

Mathematics

1 answer:

iogann1982 [59]4 years ago

8 0

The correct answer is: [B]: " 9.6 cm " .
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Explanation:
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Let "FH" = "x" ; for which we wish to solve.

45 cm / 12 cm = 36 cm / "x" (in "cm") ;

To solve for "x" ;

Cross--multiply:

Note: Given:

" $\frac{a}{b} = \frac{c}{d}$ " ; " ad = bc " ; (b ≠ 0 ; d ≠ 0) ;

So: " 45x = 12 * 36 " ;

→ 45x = 432 ;

Divide each side of the equation by "45" ;
to isolate "x" on one side of the equation; & to solve for "x" ;

→ 45x / 45 = 432 / 45 ;

→ x = 9.6 cm ;
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→ which corresponds with:
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→ Answer choice: [B]: " 9.6 cm " .
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Hope this answer — and explanation — helps!
Best wishes in your academic pursuits!
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Which point is part of the solution of the inequality y<=|x+4|-3

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<h2>Hello!</h2>

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To find which point is part of the solution of the inequality, we need to evaluate each of the given points. If the inequality is satisfied, then the point is part of the solution, otherwise, if the inequality is not satisfied, the point is not part of the solution.

We are given the inequality:

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So, evaluating we have:

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Now, since 3 is not less or equal to 2, the point (1,3) is not part of the solution.

- Third point (-4,2)

$y\leq |x+4|-3\\\\2\leq |-4+4|-3\\\\2\leq |0|-3\\\\2\leq 0-3\\\\2\leq -3$

Now, since 2 is not less or equal to -3, the point (-4,2) is not part of the solution.

- Fourth point (0,0)

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Now, since 0 is less than 1, the point (0,0) is part of the solution.

Hence, we have that the point (0,0) is part of the solution.

Have a nice day!

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