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katrin [286]
3 years ago
12

What is m CD ? Plzz help

Mathematics
1 answer:
pickupchik [31]3 years ago
8 0

Given:

Arc(AB) = 78 degrees

Measure of angle CMD = 106 degrees

To find:

The measure of arc CD.

Solution:

Secant intersection theorem: If two secant of a circle intersect each other inside the circle, then the intersection angle is the average of intercepted arcs.

Using secant intersection theorem, we get

m\angle CMD=\dfrac{1}{2}(Arc(AB)+Arc(CD))

106^\circ=\dfrac{1}{2}(78^\circ+Arc(CD))

Multiply both sides by 2.

212^\circ=78^\circ+Arc(CD)

212^\circ-78^\circ=Arc(CD)

134^\circ=Arc(CD)

Therefore, the measure of arc CD is 134 degrees and the correct option is C.

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  • C = B · Phase Shift  ---> Phase shift is distance from y-axis to max
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D = (max + min)/2     =     (3 - 11)/3      =  -4

A = max - D               =     3 - (-4)         = 7

Period = 9π/4 - π/4   =    8π/4            = 2π

B = Period/2π           =    2π/2π          = 1

Phase Shift = π/4 - 0 =     π/4

C = B · Phase Shift    =  1 · π/4            = π/4

Equation:

           y = 7 cos (1·x - π/4) + (-4)

               

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