QQuestionMathematics
QuestionMathematics
"Select the correct answer.
What is the approximate perimeter of trapezoid DEFG? Round your answer to the nearest hundredth.
A. 12 units
B. 12.04 units
C. 12.48 units
D. 13 units"
6 months agoReport content
Answer
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Step 1: Identify the lengths of the sides of the trapezoid.
The problem does not provide the side lengths directly, but we can find them using the given information. In a trapezoid, opposite angles are equal. Therefore, angle D and angle G are equal, and angle E and angle F are equal.
Step 2: Find the measures of the missing angles.
Since the sum of the angles in a triangle is 180 degrees, we can find the measures of the missing angles as follows: Angle D + Angle E + Angle DEG = 180 degrees Angle D + 70 degrees + 50 degrees = 180 degrees Angle D = 180 degrees - 70 degrees - 50 degrees = 60 degrees Since angle D and angle G are equal, angle G is also 60 degrees.
Final Answer
The approximate perimeter of trapezoid DEFG is 12.04 units.
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