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gtnhenbr [62]
3 years ago
12

Which of the following rigid motions is used to prove that vertical angle pairs are congruent? (1) a rotation by 90 about the i

ntersection of the lines creating the vertical angles (2) a rotation by 180 about the intersection of the lines creating the vertical angles (3) a translation in the direction of one of the lines creating the vertical angles (4) a reflection across one of the lines creating the vertical angles
Mathematics
1 answer:
liberstina [14]3 years ago
3 0

Answer:

(2) a rotation by 180^{0} about the intersection of the lines creating the vertical angles.

Step-by-step explanation:

Rigid motion are a set of transformation procedure to change the dimension, orientation or size of a given figure or shape. It involves rotation, translation, reflection and dilation.

Vertical angles are formed when two straight lines intersect to form angles. But two opposite angles called vertical angles are equal. To prove that vertical angles are equal; a rotation by 180^{0} about the intersection of the lines creating the vertical angles is required.

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We calculate the commission and adding it to the price of the stock to get total cost.

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100    $26.25         0.06 x $2,625 = $157.50     2625 + 157.50 =2782.5

100    $19.32         0.06 x $1,932 = $115.92         1932 + 115.92 =2047.92

40     $9.77          0.06 x $390.80 = $23.45      390.80 + 23.45= 414.25

200   $5.39          0.06 x $1,078 = $64.68        1,078 + 64.68 = 1142.68      

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4 years ago
Read 2 more answers
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Step-by-step explanation:

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y = f(x)

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y = f(x) = 2*x^2 - 20*x + 53

This is a quadratic equation, and the leading coefficient is positive. This means that the arms of the graph will open upwards.

Then the minimum value of y will be the vale at the vertex.

We know that for a quadratic equation of the form:

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This is the smallest value that y can take, and y can take any value greater than 3.

Then the range can be written as:

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