Answer:
The value of m is 70°. m is inscribed angle and inscribed angle is exactly half of central angle. where central angle is 140°.
The algebraic expression of the situation above is 4x - 100 = 400
<h3>How to form an algebraic expression?</h3>
Let
the amount of ice cream they serve in July = x + 100
the amount of ice cream they serve in June = x
They served twice as many customers in august as they did in June.
Therefore,
the amount of ice cream they serve in August = 2(x)
the amount of ice cream they serve in August = 2x
Therefore,
2x + x + x + 100 = 400
4x - 100 = 400
4x = 500
x = 500 / 4
x = 125
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The possible measures of the angle at the center of the circle formed by the minor arc are 17°, 75°, and 149°.
<h3>What is the minor and major arc?</h3>
A major arc is an arc in the circle which measures less than 180° at the center of the circle, while a major arc is an arc that measures more than 180° at the center of the circle.
We know about the major and minor arc, therefore, from all the given options, 17°, 75°, and 149° are the measure of the angle that is less than 180°. Thus, these angles are will form the minor arc.
Hence, the possible measures of the angle at the center of the circle formed by the minor arc are 17°, 75°, and 149°.
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