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maksim [4K]
3 years ago
6

PLEASE HELP ME!!!!!!

Mathematics
1 answer:
kvasek [131]3 years ago
7 0

Answer:

1= 37

2= 37

3= 37

4= 37

5= 106

Step-by-step explanation:

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Step-by-step explanation:

<h3> The complete exercise is attached.</h3>

For this exercise it is important to remember that, by definition, if an angle formed by two intersecting chords has its vertex on a circle, this is called an "Inscribed angle".

The following formula is used to calculate the measure of an Inscribed angle:

Inscribed\ angle = \frac{1}{2}\ Intercepted\ Arc

You can identify in the figure that:

Inscribed\ angle=ABC=(4x -3.5)\\\\Intercepted\ Arc=AC=(4x + 17)

Then you can substitute values into the formula and solve for "x":

(4x -3.5)= \frac{1}{2}(4x + 17)\\\\8x-7=4x+17\\\\4x=24\\\\x=6

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