Answer:
The measure of angle MNL is 
Step-by-step explanation:
see the attached figure to better understand the problem
In this problem we know that
angle GNH is congruent to angle KNL
-----> by vertical angles

so

Find the measure of angle MNL
------> by complementary angles
Substitute and solve for m<MNL


Answer:
22
Step-by-step explanation:
1/2x + 6 = 17
subtract 6 from each side of the equation:
1/2x = 11
multiply both sides by 2:
x = 22
Answer: 21
Step-by-step explanation: 84/4 = 21
Answer:
Total number of ways will be 209
Step-by-step explanation:
There are 6 boys and 4 girls in a group and 4 children are to be selected.
We have to find the number of ways that 4 children can be selected if at least one boy must be in the group of 4.
So the groups can be arranged as
(1 Boy + 3 girls), (2 Boy + 2 girls), (3 Boys + 1 girl), (4 boys)
Now we will find the combinations in which these arrangements can be done.
1 Boy and 3 girls =
=24
2 Boy and 2 girls=
3 Boys and 1 girl = 
4 Boys = 
Now total number of ways = 24 + 90 + 80 + 15 = 209
Answer:
605100
Step-by-step explanation:
6.051*10^5=605100