We are given that BA is perpendicular to BD, so that must mean that <em>m∠ABD </em>is a right angle, or 90º. This means: (8x - 10) + (4x + 52) = 90º, since both of the angles add up to become a right angle. We have to solve for x in order to find <em>m∠CBD.</em>
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<u>PART 1</u>
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Equation: (8x - 10) + (4x + 52) = 90
Let's add the like values together first.
Let's subtract 42 from both sides of the equation to isolate the variable we are solving for, x. Our goal is to isolate it completely to get a value that is equal to x.
Divide both sides by 12 to get our final answer for x.
<u>PART 2</u>
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Now that we have x, we simply plug it into our equation for <em>m∠CBD. </em>
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Multiply 4 and add 52.
<span>17 3 5 - 11 1 2 is ambiguous. I believe you meant 17 3/5 - 11 1/2. Must supply that " / " to indicate division.
It might be easier if you write this problem vertically: Compute the following:
17 3/5
-11 1/2
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Before you can do anything else, you must change the fractions 3/5 and 1/2 so that they share the same denominator (which we call the Lowest Common Denominator). Hint: The LCD here is 10.
Can you now perform this subtraction?</span>
Answer: each time the pentagon is rotated 72, it maps back onto itself. There are five values of a for which the pentagon maps back onto itself. this is the same as the number of sides of the pentagon.
Step-by-step explanation: edmentum