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Ilia_Sergeevich [38]
3 years ago
10

Write the equation of the line.

Mathematics
1 answer:
kotykmax [81]3 years ago
3 0

Answer:

y = 4

Step-by-step explanation:

Since the line in question is parallel to the x axis, we can tell that going from one end of the line to the other, x value changes, but y value always stays the same and equals 4.

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State of the triangles in each pair of similar. If so, State how you know they are similar and complete the similarity statement
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Answer:

  b.  not similar

Step-by-step explanation:

The given sides* have the ratio 30:39 = 10:13 in one triangle and the ratio 20:27 = 10:13.5 in the other triangle. Since these ratios are different, the triangles cannot be similar.

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* These are the sides bracketing the vertical angles at T. If the triangles were similar, the three sides would have to have the ratios 10 : 13 : 13.5.

However, the geometry shown would require that the angle opposite side 13.5 in one triangle have the same measure as the angle opposite side 13 in the other triangle. That is not possible, so it is not possible for these triangles to be similar.

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3 years ago
Solve for the right triangle given only one side and angle
34kurt

Answer:

CD = √11 and CE = √11

Step-by-step explanation:

We know that m∠D is 45° (by using the sum of interior angles in a triangle) so therefore, ΔDCE is a 45 - 45 - 90 triangle (the 45, 45, and 90 refer to the angle measures). The ratio of sides in a 45 - 45 - 90 triangle is 1 : 1 : √2 where the 1s are the sides and the √2 is the hypotenuse. We need to solve for x in x : x : √22. If you notice that √22 = √2 * √11, we can use this to find x, therefore, x = 1 * √11 = √11 so CD = √11 and CE = √11.

8 0
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I think it is A. I hope Im correct.
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If a and −a are numbers on the number line, which expression MUST give the distance between them? A) 0 B) a Eliminate C) |2a| D)
steposvetlana [31]

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ohaa [14]

Answer:

The kinetic energy of the roller coaster is 1600000 J.

Step-by-step explanation:

Given:

Mass of the roller coaster is 8000 Newton's and speed 20.0 meters/seconds.

Now, we need to find the kinetic energy E_{k} of the roller coaster.

So, Mass of roller coaster (m) = 8000 N.

Velocity of roller coaster (v) = 20.0 m/s.

Now, putting the formula of kinetic energy:

E_{k} = \frac{1}{2}\times m\times v^{2}

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Therefore, the kinetic energy of the roller coaster is 1600000 J.

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