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zubka84 [21]
2 years ago
10

Prove that the following triangles are similar?

Mathematics
1 answer:
Neporo4naja [7]2 years ago
7 0

Answer:

You have that:

angle N = angle Z

and

angle ZYX = angle NYM (because they are vertical angles

Since you have two congruent angles, you can say that the two triangles are similar according to the AA Triangle Similarity Postulate.

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If t = 18 and r = 12, find S. Round to the nearest tenth.
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Answer: <em>S</em> ≈ 48.2°

Step-by-step explanation:

   We can use trigonometry functions to solve.

   Looking at angle <em>S</em>, t = 18 is the hypotenuse and r = 12 is the adjacent side. This means we can use the cosine function.

   \displaystyle cos(S) =  \frac{\text{adjacent side}}{\text{hypotenuse }}=\frac{12}{18}

  \displaystyle cos^{-1} (cos(S)) =  (\frac{\text{adjacent side}}{\text{hypotenuse }}=\frac{12}{18})cos^{-1}

  S = 48.189685...\\S  \;$\approx$\; 48.2^{\circ}

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a rhombus that is the answer

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How can a rational number and irrational number when multiplied together make a irrational number ?
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