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


<u>Answer-</u>
<em>$2000</em><em> were invested at 5%</em>
<u>Solution-</u>
Let x amount of money was invested at 5% and (6000-x) amount was invested as 3%
We know that,

Putting the values,


And


According to the question,







Therefore, $2000 were invested at 5%
Answer:
give me points an d i will give u points
Step-by-step explanation: yufikdx
Answer:
See explanation
Step-by-step explanation:
Let x be the number of simple arrangements and y be the number of grand arrangements.
1. The florist makes at least twice as many of the simple arrangements as the grand arrangements, so

2. A florist can make a grand arrangement in 18 minutes
hour, then he can make y arrangements in
hours.
A florist can make a simple arrangement in 10 minutes
hour, so he can make x arrangements in
hours.
The florist can work only 40 hours per week, then

3. The profit on the simple arrangement is $10, then the profit on x simple arrangements is $10x.
The profit on the grand arrangement is $25, then the profit on y grand arrangements is $25y.
Total profit: $(10x+25y)
Plot first two inequalities and find the point where the profit is maximum. This point is point of intersection of lines
and 
But this point has not integer coordinates. The nearest point with two integer coordinates is (126,63), then the maximum profit is

The answer is 137° because supplementary means the 2 angles must equal 180°