Answer:
Vertical angles
Step-by-step explanation:
: If two angles are vertical angles, then they're congruent (see the above figure). Vertical angles are one of the most frequently used things in proofs and other types of geometry problems, and they're one of the easiest things to spot in a diagram. Don't neglect to check for them!
Answer:
The value of the test statistic and degrees of freedom is 2.148 and 11 respectively.
Step-by-step explanation:
Consider the provided information.
The mean annual tuition and fees for a sample of 12 private colleges was 36,800 with a standard deviation of 5,000 .
Thus, n = 12,
σ = 5000
degrees of freedom = n-1 = 12-1 = 11

Formula to find the value of z is: 
Where
is mean of sample, μ is the mean of population, σ is the standard deviation of population and n is number of observations.


Hence, the value of the test statistic and degrees of freedom is 2.148 and 11 respectively.
Answer:
C. 57°
Step-by-step explanation:
All triangles have a sum of 180°.
m∠D + m∠E + m∠F = 180°
35° + m∠E + 88° = 180°
123° + m∠E = 180°
m∠E = 57°