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To solve this problem, you will first use the Angle Sum Property to determine the value of <em>x </em>after creating an algebraic equation, combining like terms, and subtracting from both sides of an equation.
<h3>Use the Angle Sum Property</h3>The Angle Sum Property states that all interior angles of a triangle will summate to 180º.
An equation can be created to find this when you are given two angles and missing a third. That third angle can be referred to as <em>x</em> in this scenario.
Adding the two known angles and the unknown angle will result in a sum of 180º. This means that our unknown is <em>x</em> and can therefore be placed in an equation:
Combine the like terms by combining the constants on the left side of the equation using addition:
After combining like terms, subtract 107 from both sides of the equation:
The final answer is <em>x</em> = 73 degrees.
Answer:
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Step-by-step explanation:
Given
--- radius
Required
Determine the inequality of the region
The inequality of a region of a sphere is determined using:
Substitute 5 for r
Solving further: <em>The question says only the upper hemisphere is considered.</em>
This implies that:
<em>So, the equation is:</em>