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liberstina [14]
3 years ago
5

Sixty percent of students in Mariana's class has a pet. If 12 students have pets, how many students are in the class

Mathematics
1 answer:
Likurg_2 [28]3 years ago
6 0
20 students, because 12 is 60% of 20.
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When a line of symmetry divides an image, every point on one side of the line has a corresponding point on the other side.
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Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar. If the triangles are similar, write a valid sing
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Answer:

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GET BRAINLIEST FOR THE CORRECT ANSWER AND EXPLANATION!
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Interpreting the inequality, it is found that the correct option is given by F.

------------------

  • The first equation is of the line.
  • The equal sign is present in the inequality, which means that the line is not dashed, which removes option G.

In standard form, the equation of the line is:

x + 2y = 6

2y = 6 - x

y = -0.5x + 2

Thus it is a decreasing line, which removes options J.

  • We are interested in the region on the plane below the line, that is, less than the line, which removes option H.

------------------

  • As for the second equation, the normalized equation is:

3x^2 + 3y^2 = 12

3(x^2 + y^2) = 12

x^2 + y^2 = 4

  • Thus, a circle centered at the origin and with radius 2.
  • Now, we have to check if the line x + 2y - 6 = 0, with coefficients a = 1, b = 2, c = -6, intersects the circle, of centre x = 0, y = 0
  • First, we find the following distance:

d = \sqrt{\frac{|ax + by + c|}{a^2 + b^2}}

  • Considering the coefficients of the line and the center of the circle.

d = \sqrt{\frac{|1(0) + 2(0) - 6|}{1^2 + 2^2}} = \sqrt{\frac{6}{5}} = 1.1

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A similar problem is given at brainly.com/question/16505684

3 0
3 years ago
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