Happy Holidays
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hbox7
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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.
swan pic 7
swan insignia 4aDo 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
• straight segment from
   point A to point B

m
∠1 = 7x + 18
m∠2 = 3x + 12
m∠3 = 100º

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 = ______

 

 


Read carefully!!
Find the sum of all 8 answers. From the sum, subtract 11 radical 3. 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