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Nice job! This is Box #7!
You have now entered Level 3.
Level 3: Solve the following 8 problems:
The tale of seven swans a swimming:
The seven swimming swans are aquatic detectives investigating an insignia found on a boat in the marina.
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Do not assume the diagram is drawn to scale. |
The insignia consists of a right triangle, a rhombus, an equilateral triangle, and an isosceles obtuse triangle.
Other known facts:
• marked diagram is given
• certain lengths are shown
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straight segment from
point A to point B
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m∠1 = 7x + 18
• m∠2 = 3x + 12
• m∠3 = 100º
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1. Find the exact length of the perimeter of the insignia.
Find the exact measures of the following angles:
2. m∠1 = ______
3. m∠2 = ______
4. m∠4 = ______
5. m∠5 = ______
6. m∠6 = ______
7. m∠7 = ______
8. m∠8 = ______
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Read carefully!!
Find the sum of all 8 answers. From the sum, subtract . Square the result.
Place this answer in the address below (following the capital letter "H"), and type the address into your browser to find the next hidden box.
http://mathbits.com/caching/holiday/H__________.html
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