180/12 = 15
Each week he played 15 times
Hope this helps!
2 angles are Complementary, if the sum of their measures = 90°.
Let the 2 angles be A and B, and let their measures be m(A)=a, m(B)=b.
Let A be the larger angle.
"the larger angle is six more than three times the smaller angle."
can be 'translated' into algebra as: a = 6 + 3b
Also, since A and B are complementary, we have a+b=90°.
substitute a=6+3b in the second equation:
a+b=90°
(6°+3b+b)=90°
4b=90°-6°
b=84°/4=21°
Then, a = 90°-21°=69°
Answer: a= 69°, b=21°
The scale factor equal to 1 will have No Effect on the dimensions of the image being scaled .
In the question ,
it is given that ,
the scale factor is = 1.
we have to find the effect of change ;
we know that ,
when the value scale factor is greater than 1 , then dimensions of new image is larger than original .
when the value of scale factor is 1 , then there is no change in the dimensions of the image .
when the value of scale factor is less than 1 , then the dimensions of new image is smaller than the original .
Therefore , if the scale factor is 1 , then there is no change in the dimensions of the image .
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Since only 30% of the teachers taught for one year, the remaining percentage of the teachers had taught for more than a year, or 70%.
70%=0.7
80(0.7)=56
56 teachers had taught for more than a year.
