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konstantin123 [22]
4 years ago
6

Two similar triangles are shown.

Mathematics
2 answers:
scZoUnD [109]4 years ago
8 0

Answer:

rotated

Step-by-step explanation:

The triangle MNO has already been dilated and therefore, the answers were left to 3: rotated, reflected and translated. Triangle YHQ is not an image of triangle MNO. Thus, leaving only 2 choices: rotated and translated. If triangle MNO was translated, triangle YHQ was supposed to be in the same position as triangle MNO is and leaving only 1 option which is rotated.

marusya05 [52]4 years ago
6 0

Answer:

rotated

Step-by-step explanation:

the correct answer is rotated

when triangle Δ M N O was dilated to create Triangle Δ Y H Q

we can clearly see that the length of the sides of the triangle is increased and from the figure we can clearly see that the largest side is rotated.

marked angle is also rotated.

so, we can clearly say that to make  Triangle Δ Y H Q triangle Δ M N O is dilated and rotated.

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The sum of two integers is 67 the larger is 23 less than twice the smaller find the two integers
Alekssandra [29.7K]

Answer:

<h2><em>Smaller Integer = 30</em></h2><h2><em>Larger integer = 37</em></h2>

Step-by-step explanation:

<h2><u>Conditions:</u></h2>
  • <em>There are </em><em>two integers</em><em> whose value are to bee found out.</em>
  • <em>Sum</em><em> of those two integers</em><em> is 63.</em>
  • <em>The </em><em>larger integer</em><em> is 23 </em><em>less</em><em> than</em><em> twice the smaller</em><em> one.</em>
<h2><u>To Find:</u></h2>
  • <em>The </em><em>two integers</em><em> in the given condition.</em>
<h2><u>Solution:</u></h2>

Let,

The smaller integer be <em>x</em>

<em>So,</em> larger integer will be = <em>2x - 23</em>

Given,

The sum of<em> </em>these two integers is = <em>67</em>

∴ According to the condition,

=> x + 2x - 23 = 67

  • <em>(Taking the like terms on each sides)</em>

=> x + 2x = 23 + 67

  • <em>(Adding the like terms)</em>

=> 3x = 90

  • <em>(Dividing each side with 3)</em>

=> x = 30

Then,

The smaller integer is = x = <em>30</em>

and, Larger integer is = 2x - 23 = <em>37</em>

<u>Hence,</u>

<u>The required smaller and larger integers are 30 and 37 respectively (Ans)</u>

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The inequality is

x ≥ 90
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