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Sladkaya [172]
3 years ago
12

Tell whether the statement is true or false. If w is 25% of Z, then Z:W is 75:25

Mathematics
1 answer:
melamori03 [73]3 years ago
7 0
False.
If w is 25% of z, then w:z would be 25:100, because 25 is 25% of 100.
If Z:W was 75:25, it would be wrong because 25 is 33% of 75, not 25%.
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Triangle X Y Z is shown. Angle Y X Z is a right angle. The length of Y X is 12 inches and the length of X Z is 10 inches. Angle
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The best approximation for the measure of angle XYZ is 39.8° ⇒ 2nd answer

Step-by-step explanation:

Let us revise the trigonometry ratios in the right triangle ABC, where B is the right angle, AC is the hypotenuse, AB and BC are the legs of the triangle

The trigonometry ratios of the angle BAC, the opposite side to this angle is BC and the adjacent side to it is AB are

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In Δ XYZ

∵ ∠ YXZ is a right angle

∴ The hypotenuse is YZ

∵ The adjacent side to ∠XYZ is XY

∵ The opposite side to ∠XYZ is XZ

∵ YX = 12 units

∵ XZ = 10 units

- Use tan ratio to find the measure of the angle because you

   have the adjacent and opposite sides of the angle XYZ

∵ m∠XYZ is x

∵ tan(x)=\frac{XZ}{XY}

∴ tan(x)=\frac{10}{12}

- To find x use the inverse of tan(x)

∵ x=tan^{-1}(\frac{10}{12})

∴ x = 39.8°

∴ m∠XYZ = 39.81°

The best approximation for the measure of angle XYZ is 39.8°

Learn more:

You can learn more about the trigonometry ratios in brainly.com/question/4924817

#LearnwithBrainly

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eimsori [14]

Answer:

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$4400 - 900 =

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Answer:

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Step-by-step explanation:

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f(x) = 3x² - 5x - 4

g(x) = -4x - 12

Step 2: Find f(g(x))

f(g(x)) = 3(-4x - 12)² - 5(-4x - 12) - 4

f(g(x)) = 3(16x² + 96x + 144) + 20x + 60 + 4

f(g(x)) = 48x² + 288x + 432 + 20x + 64

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Step 3: Find f(g(-4))

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f(g(-4)) = 48(16) - 1232 + 496

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