Mathematics
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OpenStudy (anonymous):
Lines CD and DE are tangent to circle A shown below.
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OpenStudy (anonymous):
OpenStudy (anonymous):
If CE is 126°, what is the measure of ∡CDE?
126°
63°
117°
54°
OpenStudy (anonymous):
@Mertsj
OpenStudy (mertsj):
The angle formed by two tangents that intersect outside the circle is the difference of the intercepted arcs divided by 2
OpenStudy (anonymous):
so what are u saying
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Directrix (directrix):
See attachment for theorem needed.
OpenStudy (anonymous):
I don't get how to set it up
OpenStudy (mertsj):
How many degrees in a circle?
OpenStudy (anonymous):
360
OpenStudy (mertsj):
So if the arc CE is 112, what does that leave for the arc CBE?
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OpenStudy (anonymous):
248
OpenStudy (mertsj):
Subtract the first arc (112) from the second one(248) . When you get that answer, divide it by two.
OpenStudy (anonymous):
68
OpenStudy (mertsj):
That's what I got.
OpenStudy (anonymous):
but it said If CE is 126°, what is the measure of ∡CDE?
126°
63°
117°
54°
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OpenStudy (anonymous):
do I do the same thing
OpenStudy (mertsj):
Then do the problem again using 126 for arc CE
OpenStudy (anonymous):
ok
OpenStudy (anonymous):
54
OpenStudy (mertsj):
What is arc CE?
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OpenStudy (anonymous):
112
OpenStudy (mertsj):
I made a mistake. Yes. I agree with 54
OpenStudy (anonymous):
tHAnk you
OpenStudy (anonymous):
In circle A shown below, m BC is 71° and m EF is 78°.
OpenStudy (anonymous):
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OpenStudy (anonymous):
What is m∡FDE?
35.5°
74.5°
39°
78
OpenStudy (anonymous):
@Mertsj
OpenStudy (mertsj):
The angle formed by two chords is 1/2 the SUM of the intercepted arcs.
OpenStudy (anonymous):
WHAT ARE U SAYING
OpenStudy (mertsj):
Do you know what chords of a circle are?
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OpenStudy (mertsj):
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