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2 years ago

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.

choli [55]

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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The best answer among the choices provided by the question is $1200 in the first month, $1285.48 in the second month, $1370.96 in the third month .

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3 years ago

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Which best describes the figure that is represented by the following coordinates?

Anastasy [175]

Answer:

a rhombus that is the answer

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3 years ago

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No a repeating decimals have number repeating such as 555555.

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

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Answer:

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A better statement would be:

"The product of a non-zero rational number and an irrational number is irrational

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