Answer:
See explanation below.
Step-by-step explanation:
Note that in △RST and △UVW
- m∠T=180°-m∠R-m∠S;
- m∠W=180°-m∠U-m∠V.
Since ∠R≅∠U and ∠S≅∠V, then ∠T≅∠W.
In ΔRST and ΔUVW:
- ∠S≅∠V (given);
- ∠T≅∠W (proved);
- ST≅VW (given).
ASA theorem that states that if two angles and the included side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.
By ASA theorem ΔRST≅ΔUVW.
C = 4
Use the formula a^2 + b^2 = c^2
5 = a and 4 = b
Answer:
Mean = 0.38082 checks per day
Variance = 0.38082
Standard deviation = 0.61711
Step-by-step explanation:
In a Poisson distribution, the variance (V) is equal to the mean value (μ), and the standard deviation (σ) is the square root of the variance.
A year has 365 days,, if 139 checks were written during a year, the mean number of checks written per day is:

Therefore, the variance and standard deviation are, respectively:

The answer for rounding 17.55 to a decimal place is 88/5.