Answer:
The length of MN is 30.
Step-by-step explanation:
It is given that △XYZ maps to △MNO with the transformation
This rule of transformation represents the dilation with scale factor 5 because the dilation about the origin is defined as
where, k is scale factor.
In dilation, the image and preimage are similar and scale factor is the ratio of corresponding side of image and preimage.
In △XYZ and △MNO,
Multiply both sides by 6.
Therefore the length of MN is 30.
Let T represent the fifth test score. The average is the sum of scores divided by their number.
... 82 = (83 +75 +93 +67 +T)/5
... 410 = 318 +T . . . . . . . multiply by 5
... 92 = T . . . . . . . . . . . . subtract 318
The fifth score was 92.
_____
One of the ways I like to work problems like these is to add the differences from the mean. Those are ...
1, -7, 11, -15
so their sum is -10.
The final score must be 10 above the mean in order for this total to be zero. 10 above the mean is 92.
The smaller of the two is 4.
14 + 4 = 18 so then their difference ( 14 - 4 =10) would give you the answer
The equivalent measurement in degrees is 150°
<h3>Measurement of angle</h3>
Angles can be measured in radians or degrees.
Radians are mostly used for very small angular measurement.
Analysis:
For every π radians covered, the angular measurement is 180°
So 5/6π = 5/6 x 180 = 5 x 30 = 150°
In conclusion, the angular measurement in degrees of 5/6π is 180°.
Learn more about conversion of angles from radians to degree: brainly.com/question/12939121
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