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kipiarov [429]
3 years ago
14

PLEASE HELP ME :( God bless.

Mathematics
1 answer:
Dmitriy789 [7]3 years ago
3 0

Answer:

x - 99 ≤ -104 → 2nd line

x - 51 ≤ -43 → 1st line

150 + x ≤ 144 → 4th line

75 < 69 - x → 3rd line

Step-by-step explanation:

Ugh! Wow, this is going to be tedious, thanks alot, bro (jk, I got your back).

x - 99 ≤ -104

 + 99   + 99

x ≤ -5

There should be a line going from -5 to negative infinity (AKA the left) with a FILLED circle. So, the second one is correct.

x - 51 ≤ -43

 + 51   + 51

x ≤ 8

There should be an arrow with a FILLED circle going to negative infinity (AKA the left). So, the first one is correct.

I'm going to take a shortcut and notice that one of the lines has a filled circle while the other one has an empty circle. So the empty circle must relate to the question without a ≤ or ≥, but with a < or >. We see that 75 < 69 doesn't have ≤ or ≥ but a '<.' So this one must have the empty circle, which is on line 3. The last equation has to be on line 4.

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In a rigid transformation, the shape of the image remains the same as the preimage

The correct options are;

Rotation; a → b

Translation: a → d

Reflection over a horizontal line: c → e

Reflection over a vertical line: g → f

Rotation then reflection: a → h

Rotation then translation: e → j

The reasons why the above selections are correct are as follows;

  • Rotation;  Figure <em>a</em> is rotated about a common center to figure <em>b</em> to move from <em>a</em> to <em>b</em>
  • Translation: Figure <em>a</em> can be translated towards the left and then upwards to reach figure <em>b</em>
  • Reflection over a horizontal line: A reflection over a horizontal line is similar to a reflection across the x-axis, therefore an example of a reflection over horizontal line is c → e
  • Reflection over a vertical line: A reflection over a vertical line will turn a left pointing triangle to a right pointing triangle as shown in g → e
  • Rotation then reflection:  The preimage is first rotated about an axis before it is then reflected as seen in the clockwise  rotation figure <em>a</em> about its axis, followed by a reflection across a vertical axis to figure <em>h</em>
  • Rotation then translation: The rotation and translation composite transformation can be seen in figure <em>e </em>which is rotated to point left, and then translated into the position of figure <em>j</em>

<em />

Learn more about rigid transformations here:

brainly.com/question/14301866

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