Because CD is the perpendicular bisector of AB, this means that AB is divided into two equal parts. So, AD = DB.
AD = 6x - 2 and DB = 2x + 18, so:
6x - 2 = 2x + 18
We can use algebra to solve for x.
Adding 2 to both sides gives you
6x = 2x + 20
Subtracting 2x from both sides gives you
4x = 20
Dividing by 4 on both sides gives you
x = 5
And there's your solution.
For this Q:
mean=31
st.dev.=0.8
x=32
Calculate z-score:
z=(x-m)/s = (32-31)/0.8=1.25
This z-score value corresponding to the probability of 0.8944
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This is not possible. A triangle is either acute (all angles less than 90 degrees), right (one 90 degree angle), or obtuse (an angle with more than 90 degrees). There can not be an "acute right triangle."
Since 10 is smaller than 100, Garricks plant is SHORTER than Zan's plant
This means that each mm for Garrick will result in a GREATER percent error
10-8=2. His measurement was 2 mm off
100-88=12 so Zans answer was 12 mm off
2/10*100=20%
12/100*100=12%
Answers:
1. Shorter
2. Greater
3. 2 mm
4. 12 mm
5. 20%
6. 12%
Hope this helped!! :D