(2g^3+4)^2= 4g^6 + 16g^3 + 16
The answer is B.
1. True
2. False
3. True
When ordered for location 1, the values are 34,52,85,86,100 with the median is 85 because it is in the middle of the other values. True
The range of location 2 is from 19 to 65 base don data shown, False
The median for location 2 is (20,29) which is smaller than the 85 for location 1 so location 1 had more participants if based on the median measurement. True
Answer:
x = 3
Step-by-step explanation:
Add 1 on both sides.
We get:
-2x = -6
Now divide -6 by -2...
-6/-2 = 3
Answer:
46
Step-by-step explanation:
∠DAC ≅ ∠ACB because they are opposite interior angles where transversal AC crosses parallel lines BC and AD.
∠DAC ≅ ∠CAB because they are corresponding angles of the similar triangles ΔABC and ΔACD.
Hence ∠ACB ≅ ∠CAB and ΔABC is isosceles with side lengths both being 9. The corresponding side lengths of ΔACD are 12, meaning the base of ΔABC, segment AC, is 12. The scale factor of ΔACD to ΔABC is then 12:9 = 4:3, so the base AD of ΔACD is (4/3)×12 = 16.
So, the side lengths of the trapezoid are ...
- AB = 9
- BC = 9
- CD = 12
- DA = 16
and the perimeter is 9 +9 +12 +16 = 46 units.