Answer:
Option D: mGE = 190°
Step-by-step explanation:
From the property of angles of secant and tangent lines, we have:
DBG = (mGE - mDG)/2
(That is, the angle in point B is half the difference of the larger arc by the smaller arc defined by the lines)
So, we have that:
58 = (mGE - 74)/2
2*58 = mGE - 74
mGE = 116 + 74 = 190°
So we have that mGE is equal to 190°, correct option: D.
Answer: 60%
Step-by-step explanation:
Since, According to the question, Last quarter, we successfully completed an average of about 5 chemical analyses per day.
Therefore initially our average = 5 chemical analyses per day.
Again, From the question, This quarter, we have increased this average to about 8 per day.
Therefore New average =chemical analyses 8 per day
Thus, Percentage change in the average = (Initial average - New average)×100/ initial average
= 
= 
= 60 %
Therefore, Percentage change in the average=60 %
Answer:11
Step-by-step explanation:
Boys : girls=7:1
Sum of ratio=7+1=8
Let them number of girls be y
Then they number of boys=y+66
Total number of pupils=y+y+66
Total number of pupils=2y+66
Number of girls=(girls ratio)/(sum of ratio) x (total number of pupils)
y=1/8 x (2y+66)
Cross multiply
y x 8=2y + 66
8y=2y + 66
Collect like terms
8y-2y=66
6y=66
Divide both sides by 6
6y/6=66/6
y=11
The number of girls is 11
Answer:
3/100 times 3 is 0.09 or 9/100
A way to do it is like this. Numerator divided by denominator so 3 divided by 16 which is .187.
5 divided by 48 is .0146 with the six repeating
