What is the measure of missing angle S?
2 answers:
You might be interested in
Answer:
Step-by-step explanation:
strategy: find the distance of the two points, take half of that, b/c that will be the radius, Then use the area of a circle formula to find the answer
P1 = (1,-1) in the form (x1,y1)
P2= ((3,3) in the form (x2,y2)
dist = sqrt [ (x2-x1)^2 + (y2-y1)^2 ]
dist = sqrt [ 3 -1 )^2 + 3-(-1)^2 ]
dist = sqrt [ 2^2 + 4^2 ]
dist = sqrt [ 4 + 16 ]
dist = sqrt [20]
r = /2
area of circle =
area of circle = (
/2)^2
area of circle = (
/2)(
/2)
area of circle = (20 / 4)
area of circle = 5
area of circle = 5
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°
