<h2>
Answer:</h2>
∠LMN is a right angle
<h2>
Step-by-step explanation:</h2>
If we want to prove that two right triangles are congruent by knowing that the corresponding hypotenuses and one leg are congruent, we begin as follows:
- Since two legs are congruent and we know this by the hash marks, then the triangle ΔLKN is isosceles.
- By definition LN ≅ NK
- If ∠LMN is a right angle, then MN is the altitude of triangle ΔLKN
- Also MN is the bisector of LK, so KM ≅ ML
- So we have two right triangles ΔLMN and ΔKM having the same lengths of corresponding sides
- In conclusion, ΔLMN ≅ ΔKMN
Answer: (b)
x g(x)
1 -16
2 -12
3 -8
If g(x) is 4*f(x), then we can find g(x) by multiplying 4 by x-5
g(x) = 4(x-5)
= 4x-20
Now we can plug in 1,2, and 3 for x to see which table makes sense.
g(1) = 4(1) - 20
= -16
g(2) = 4(2) - 20
= -12
g(3) = 4(3) - 20
= -8
hope this helps
Answer:
0.077994
Step-by-step explanation:
Given that the owner of a local nightclub has recently surveyed a random sample of n = 250 customers of the club.

(Right tailed test)
Sample size = 
Sample mean = 30.45
Mean difference =
Sample std dev s = 5
Sample std error = 
Test statistic = Mean diff/std error = 
Since population std deviation is not know we use t test
p value = 
1/6=16.666666...
So it is 16.6666.... to 6(or 100)