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2 years ago

Find the value of each variable in the circle to the right. The dot represents the center of the circle.

Mathematics

1 answer:

MrMuchimi2 years ago

4 0

9514 1404 393

Answer:

a = 57.5

b = 90

c = 65

Step-by-step explanation:

The measure of an inscribed angle is half that of the arc it intercepts. The angle at 'a' intercepts an arc of 115°, so its measure is (115/2)° = 57.5°

The inscribed angle at 'b' is a semicircle, 180°, so the measure of 'b' is (180/2)° = 90°.

The arc 'c' is the remainder of a semicircle after 115° have been taken away. Its measure is 180° -115° = 65°.

(a, b, c) = (57.5, 90, 65)

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Answer:

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General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
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Left to Right

Algebra I

Coordinates (x, y)
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Step-by-step explanation:

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