Answer:
b) 130
Step-by-step explanation:
The total of the internal angles of any simple hexagon (six sides) is 720°.
720 = 150+95+105+145+95+x
720= 590 + x
720 - 590 = x
130 = x
Answer:
13 sheep, 19 chicken
Step-by-step explanation:
You can start to solve this problem by assigning variables. First, let's assign the number of sheep there are as 
and the number of chickens there are as 
.
Because each sheep has 4 legs, the number of legs for each sheep would be 
. Similarly, because each chicken has 2 legs, the number of legs for each chicken would be 
. Each animal would have 1 head, so the number of heads would just be and . Because the number of legs in total are 90, 
. Because the number of heads in total are 32, 
There is now a system of equations with two unknown variables and two equations. There are many ways to solve this, but for me, the easiest would be elimination. First, I would double the second equation, 
. Then, I would subtract that from the first equation, eliminating . 
. Solving for x gives 13. We can then plug that value into the second equation, making y be 
. This means that 
and 
, meaning that there are 13 sheep and 19 chicken.
13/50 = 0.26
0.26 is very close to 0.25 which is 1/4.
Answer: A. 1/4
Answer:
False, they have the same standard deviation
Step-by-step explanation:
Standard deviation is the distance each data value is from the mean.
While the mean of each data set will be different, the distance each data value is from this mean will be the same. This is because each set goes sequentially from 1 to 12, or from 101 to 112. The average distance from the mean will have to be the same.
To verify, using a graphing calculator, the standard deviation of the first set is 3.45. The standard deviation of the second set is also 3.45.
Answer:
∠ EAB = 85°
Step-by-step explanation:
∠ EBC and ∠ BCD are same- side interior angles and sum to 180° , so
∠ BCD = 180° - ∠ EBC = 180° - 148° = 32°
the sum of the 3 angles in Δ ADC = 180° , that is
∠ EDC + ∠ BCD + ∠ EAB = 180°
63° + 32° + ∠ EAB = 180°
95° + ∠ EAB = 180° ( subtract 95° from both sides )
∠ EAB = 85°
