Girls english: 6
Boys total: 32
Boys math: 5
Boys english: 20
Total english: 26
Total science: 19
C) 65
The lines mean that they are equal or same congruent whatever. Since the top angle is 50 we can subtract 50 from 180.
180 - 50 = 130
Now the other Angles are equal so divide 130 by 2 and you get 65.
The rule of the transformation is
(x,y)->(-y,x)
which corresponds to a 90 counterclockwise rotation about the origin,
which in turn corresponds to a 270 clockwise rotation about the origin.
Note that all rotations preserve lengths and angles, hence the image and preimage are congruent.
The talent show consists of introduction and talent performance. It could be written into this equation
Talent show duration= introduction + talent performance
Each performer for the talent show has 6 minutes for their show, the <span>introduction of the talent show is 24 minutes, and the total duration should be 150 minutes. Then, maximum performance count of the show would be:
</span>
Talent show duration= introduction + talent performance
<span>150 min = 24 min + (performance count * 6min)
</span>performance count = (150min - 24min) / 6 min
performance count=21