![\bf \textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \qquad center~~(\stackrel{}{ h},\stackrel{}{ k})\qquad \qquad radius=\stackrel{}{ r} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ (x-9)^2+y^2=4\implies (x-\stackrel{h}{9})^2+(y-\stackrel{k}{0})^2=2^2~\hfill \stackrel{center}{(9,0)} \\\\\\ (x-\stackrel{h}{3})^2+(y-\stackrel{k}{2})^2=4\implies (x-\stackrel{h}{3})^2+(y-\stackrel{k}{2})^2=2^2~\hfill \stackrel{center}{(3,2)}](https://tex.z-dn.net/?f=%5Cbf%20%5Ctextit%7Bequation%20of%20a%20circle%7D%5C%5C%5C%5C%20%28x-%20h%29%5E2%2B%28y-%20k%29%5E2%3D%20r%5E2%20%5Cqquad%20center~~%28%5Cstackrel%7B%7D%7B%20h%7D%2C%5Cstackrel%7B%7D%7B%20k%7D%29%5Cqquad%20%5Cqquad%20radius%3D%5Cstackrel%7B%7D%7B%20r%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20%5Crule%7B34em%7D%7B0.25pt%7D%5C%5C%5C%5C%20%28x-9%29%5E2%2By%5E2%3D4%5Cimplies%20%28x-%5Cstackrel%7Bh%7D%7B9%7D%29%5E2%2B%28y-%5Cstackrel%7Bk%7D%7B0%7D%29%5E2%3D2%5E2~%5Chfill%20%5Cstackrel%7Bcenter%7D%7B%289%2C0%29%7D%20%5C%5C%5C%5C%5C%5C%20%28x-%5Cstackrel%7Bh%7D%7B3%7D%29%5E2%2B%28y-%5Cstackrel%7Bk%7D%7B2%7D%29%5E2%3D4%5Cimplies%20%28x-%5Cstackrel%7Bh%7D%7B3%7D%29%5E2%2B%28y-%5Cstackrel%7Bk%7D%7B2%7D%29%5E2%3D2%5E2~%5Chfill%20%5Cstackrel%7Bcenter%7D%7B%283%2C2%29%7D)
Check the picture below.
well, its radius didn't change, anyhow, you know what to check out.
Answer:
28 seconds
Step-by-step explanation:
speed = distance/time
speed * time = distance
time = distance/speed
time = (500 m)/(18 m/s)
time = 27.777... seconds
Answer: 28 seconds
Increased by 5%
1930*5/100= 96.5
1930+96.5=2026.5
Further increase by 15%
2026.5*15/100=303.975
2026.5+303.975=2330.475
To 2DP= 2330.48
△MNQ ≅ △PNQ by SAS congruence theorem.
<h3>What is the SAS Congruence Theorem?</h3>
If two triangles are congruent by the SAS congruence theorem, then they have two pairs of corresponding congruent sides and a pair of corresponding included sides that are congruent.
∠MNQ ≅ ∠PNQ [congruent angles formed by angle bisector]
Therefore, opposite sides to the angles, MQ and PQ would also be congruent.
Thus, MQ ≅ PQ
NQ ≅ NQ [reflexive property]
This means that both triangles have two pairs of corresponding congruent sides and a pair of corresponding included sides that are congruent.
Thus, △MNQ ≅ △PNQ by SAS congruence theorem.
Learn more about the SAS congruence theorem on:
brainly.com/question/2102943
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