Answer:
Step-by-step explanation:
A secant is a straight line from a point outside a given circle that passes through two points on its circumference.
From the given diagram, EM and EQ are secants.
Thus,
<PEW ≅ <WEP (common angles)
<EMP ≅ <EQW (secant-chord theorem)
<WMP ≅ <PQM (inscribed angles of arc WP)
Therefore,
= 
(corresponding sides of a triangle)
This implies that,
EW*PQ = EP*WM
Therefore,
MP*EW = WQ*EP (properties of a similar triangle)
Use Pythagorean theorem.
[tex]|ON|^2+|MN|^2=|OM|^2\\\\x^2+x^2=8^2\\\\2x^2=64\ \ \ \ |divide\ both\ sides\ by\ 2\\\\x^2=32\to x=\sqrt{32}\\\\x=\sqrt{16\cdot2}\\\\x=\sqrt{16}\cdot\sqrt2\\\\\boxed{x=4\sqrt2}
Answer: |MN| = 4√2.
Answer:
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Answer:
11 is correct
12 should be 51°
Step-by-step explanation:
15/sin(104) = 12/sin(J)
J = 50.917°
108 is the correct answer
