Since A and B are the midpoints of ML and NP, we can say that AB is parallel to MN and LP. In order to find ∠PQN, we can work with the triangles PQB and NQB. According to SAS (Side-Angle-Side) principle, these triangles are congruent. BQ is a common side for these triangles and NB=BP and the angle between those sides is 90°, i.e, ∠NBQ=∠PBQ=90°. After finding that these triangles are equal, we can say that ∠BNQ is 45°. From here, we easily find <span>∠PQN. It is 180 - (</span>∠QNP + ∠NPQ) = 180 - 90 = 90°
Answer:
16
Step-by-step explanation:
To solve this, you need to evaluate the function at f(1), which just means that you have to plug in 1 for any x you see in the equation. For example, here f(1) = 2(1) + 2 which simplifies to 4. Next find f(5). By doing the same process you will find that this is 12. The problem asks for f(1) + f(5) so by putting those values in you will get 4+12=16. Hope this helps! :)
Answer:
The different number of ways to select a female president and a treasurer is 8.
Step-by-step explanation:
The complete question is:
Find the number of ways that club N= {Alan, Bill, Cathy, David, Evelyn} can elect both a president and treasurer if the president must be a female.
Solution:
The male members are: Alan (A), Bill (B) and David (D)
The female members are: Cathy (C) and Evelyn (E)
The list of different ways to select a female president and a treasurer is:
{CA, CB, CD, CE, EA, EB, ED and EC }
The number of ways to select a female president: 
The remaining number of members of the club is, 4.
The number of ways to select a treasurer is, 
The total number of ways to select a female president and a treasurer is,
2 × 4 = 8 ways.
23000... 20,000 x .15= 3000 interest
20,000 + 3,000 =23,000
