Triangle angles add up to a total of 180 degrees.
X will substitute for the second angle.
(X - 10) will substitute for the first angle, which is 10 less than the second angle (x).
The third angle is a right angle which is 90 degrees.
The equation therefore, the summation of the angles:
90 + x + (x - 10) = 180
Join like terms:
80 + 2x = 180
Solve for x:
2x = 100
x = 50
This means that:
The second angle is 50.
The first angle is 50 - 10 which is 40.
We can double check by adding the angles 50, 40, and 90 together to get 180.
Answer:
1. Not congruent
2. Not congruent
3. Congruent
4. Congruent
5. Not congruent
6. Not congruent
???
Step-by-step explanation:
Answer:
68%
Step-by-step explanation:
The mean is 32 minutes, and the standard deviation is 4 minutes.
28 is 1 standard deviation below the mean, and 36 is 1 standard deviation above the mean.
According to the empirical rule, 68% of a normal distribution is between -1 and 1 standard deviations. 95% is between -2 and 2 standard deviations. 99.5% is between -3 and 3 standard deviations.
So the answer is 68%.
It's slightly ambiguous because the year isn't an even number of weeks, so sometimes that extra day falls on a weekend and sometimes on a weekday. We'll assume a weekend; that makes the numbers come out nice.
Total working days, 52 five day weeks minus 30 days vacation
So his daily rate is
dollars per day
Answer: A
It's closer to $518 when we count the extra day as a weekday.
