The numerical sum of the degree measures of m ∠DEA and m ∠AEF and m ∠DEF is 360°; The numerical measures of the angles is,
m ∠DEA = 56°
m ∠AEF = 158°
m ∠DEF = 146°
Based on the given data,
m ∠DEA= x + 30,
m ∠AEF= x + 132, and
m ∠DEF= 146 degrees
If the sum of two linear angles is 360° then, they are known as supplementary angles.
∠A + ∠B + ∠C = 360°, (∠A and ∠B and ∠C are linear angles.)
So,
We can write,
m ∠AEF + m ∠DEA + m ∠DEF = 360°
( x + 132) + (x + 30) + 146 = 360°
x + 30 + x + 132 + 146 = 360°
2x + 308 = 360°
2x = 360° - 308
x = 52/2
x =26
Now, we will substitute the value of x = 26° in the ∠DEA and ∠AEF, hence we get:
m ∠DEA = x + 30
m ∠DEA = 26 + 30
m ∠DEA = 56 degrees
Also,
m ∠AEF = x + 132
m ∠AEF = 26 + 132
m ∠AEF = 158
Hence,
m ∠DEA + m ∠AEF + m ∠DEF = 360°
56 + 158 + 146 = 360°
360° = 360°
Therefore,
Therefore, the numerical sum of the degree measures of m ∠DEA and m ∠AEF and m ∠DEF is 360°; The numerical measures of the angles is,
m ∠DEA = 56°
m ∠AEF = 158°
m ∠DEF = 146°
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Answer:
D. No. Although each point is rotated through the same angle, points that are different distances from the center of rotation move different distances.
Step-by-step explanation:
Rotation is a type of transformation which involves turning a given figure about a reference point to produce its image. This would produce an image with the same size as the object.
A given figure or shape has different parts or points. Since each point on the figure is at different distance to the reference point, thus they do not cover the same distance but move through the same angle of rotation. Each individual point move through the same angle but do not cover the same distance during rotation.
Therefore, the appropriate option is D.
Fifty-seven x thirty-one = one-thousand, seven-hundred and sixty seven. I just guessed and checked. 57x31=1767
The transformation can be defined as the introduction of a new set of mathematical coordinates. The correct option is B.
<h3>What is transformation?</h3>
The transformation can be defined as the introduction of a new set of mathematical coordinates that are declared to be different functions of the original coordinates.
As per the given description if the two rigid transformations are used to map ΔABC to ΔXYZ, and the first is a translation of vertex A to vertex X, then the second transformation will be A reflection across the line containing AC.
Hence, the correct option is B.
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