Answer:
See explanation
Step-by-step explanation:
16. Two parallel lines are cut by transversal. Angles with measures 
and 
are alternate exterior angles. By alternate exterior angles, the measures of alternate exterior angles are the same:
Then
17. Two parallel lines are cut by transversal. Angles with measures 
and 
are alternate interior angles. By alternate interior angles, the measures of alternate interior angles are the same:
Then
18. Two parallel lines are cut by transversal. Angles with measures 
and 
are alternate exterior angles. By alternate interior angles, the measures of alternate exterior angles are the same:
Then
19. The diagram shows two complementary angles with measures 
and 
. The measures of complementary angles add up to 
then
Hence,
Check:
20. Angles 
and 
are vertical angles. By vertical angles theorem, vertical angles are congruent, so
Hence,
21. 
and 
are supplementary. The measures of supplementary angles add up to 
so
Therefore,
<span>Which expression is equivalent to x + y + x + y + 3(y + 5)? 2x + 5y + 5 2x + y + 30 2x + 5y + 15 2x + 3y + 10
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If X is a random variable representing the number of children that end up having light-colored eyes, then X follows a binomial distribution with success probability p = 0.25 and number of trials n = 5.
The variance of a binomial distribution with these parameters is n p (1 - p), so the variance in this case would be
5 • 0.25 • (1 - 0.25) = 0.9375 ≈ 0.9
Answer:
61.69?
Step-by-step explanation:
Are you asking what 31% of 119 is? If so, then the answer would be 61.69.
Because (119)0.31=61.69
(To make a percent, you take a decimal out of 1, and multiply. 0.31 would be 31, because we would multiply it by 100, becuase you can only get to 100%. Then you woukd do the opposite, reverse it by dividing by 100. Which then, you would get 0.31)
Hope that helped.
