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Andrei [34K]
3 years ago
8

Simplify by dividing (-3/8) -5/9

Mathematics
1 answer:
Elodia [21]3 years ago
6 0

Answer:

\frac{-27}{40}

Step-by-step explanation:

(\frac{-3}{8})÷\frac{5}{9}

\frac{-3}{8}×\frac{9}{5}

\frac{-27}{40}

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Geometry help please! Match the reasons with the statements
Alex73 [517]
  • Given ⇔  1. ∠PRS and ∠VUW are supplementary
  • Angles forming a linear pair sum of 180°  ⇔ 3. ∠PRS + ∠SRU = 180°
  • Definition of Supplementary angle   ⇔ 2. ∠PRS + ∠VUW = 180°
  • Transitive property of equality  ⇔ 4 . ∠PRS + ∠VUW  = ∠PRS + ∠SRU
  • Algebra  ⇔ 5. ∠VUW =  ∠SRU
  • Converse of Corresponding angle Postulate ⇔ Line TV || Line QS

<u>Step-by-step explanation:</u>

Here we have , ∠PRS and ∠VUW are supplementary . We need to complete the proof of TV || QS , with matching the reasons with statements .Let's do this :

  • Given ⇔  1. ∠PRS and ∠VUW are supplementary
  • Angles forming a linear pair sum of 180°  ⇔ 3. ∠PRS + ∠SRU = 180°
  • Definition of Supplementary angle   ⇔ 2. ∠PRS + ∠VUW = 180°
  • Transitive property of equality  ⇔ 4 . ∠PRS + ∠VUW  = ∠PRS + ∠SRU
  • Algebra  ⇔ 5. ∠VUW =  ∠SRU
  • Converse of Corresponding angle Postulate ⇔ Line TV || Line QS

Above mentioned are  , are the statements matched with expressions on right hand side (RHS)  .

  • The Corresponding Angles Postulate states that, when two parallel lines are cut by a transversal , the resulting corresponding angles are congruent .
  • The converse states: If corresponding angles are congruent, then the lines cut by the transversal are parallel.
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3 years ago
Moving a figure around a fixed point in the plane is called making a ___.
klasskru [66]

Answer:

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Step-by-step explanation:

There are three rigid motions (which do not change the shape and size of the figures): rotation, translation and reflection.

You make a rotation of a figure when you turn it about a fixed point (which can be inside, on an edge or outside the figure) and it is measured in degrees.  The rotation can be clockwise or counterclockwise.

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The difference between the square roots of a number is 30. What is the number? Explain.
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3 years ago
Evaluate.
madreJ [45]

Answer:

<em>Answer</em><em> </em><em>is</em><em> </em><em>none</em><em> </em><em>of</em><em> </em><em>these</em><em>.</em>

<em>Answer</em><em> </em><em>is given below with explanations</em><em>. </em>

Step-by-step explanation:

<em>Given</em><em> </em><em>that</em><em> </em><em>x</em><em> </em><em>=</em><em> </em><em>-2</em><em>.</em><em>5</em>

<em>To</em><em> </em><em>find</em><em> </em><em>the</em><em> </em><em>value</em><em> </em><em>of</em><em> </em><em>x</em><em>+</em><em>13</em>

<em>Ob</em><em> </em><em>substituting</em><em> </em><em>the</em><em> </em><em>value</em><em> </em><em>in</em><em> </em><em>the</em><em> </em><em>given equation</em><em> </em>

<em>we</em><em> </em><em>get</em><em> </em>

<em>=</em><em> </em><em>-2</em><em>.</em><em>5</em><em>+</em><em>13</em>

<em>=</em><em> </em><em>13</em><em> </em><em>-</em><em> </em><em>2</em><em>.</em><em>5</em><em> </em><em> </em><em> </em><em> </em><em>(</em><em>we</em><em> </em><em>can</em><em> </em><em>also</em><em> </em><em>write</em><em> </em><em>like</em><em> </em><em>this</em><em>)</em>

<em>=</em><em> </em><em>10</em><em>.</em><em>5</em>

<em>Therefore</em><em> </em><em>value</em><em> </em><em>of</em><em> </em><em>x</em><em> </em><em>+</em><em>13</em><em> </em><em>is</em><em> </em><em>10</em><em>.</em><em>5</em>

<em>HAVE</em><em> </em><em>A NICE DAY</em><em>!</em>

<em>THANKS FOR GIVING ME THE OPPORTUNITY</em><em> </em><em>TO ANSWER YOUR QUESTION</em><em>. </em>

8 0
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