Chapter 2

  1. 1.  ∠ 1 +  ∠ 3 + 90 °  = 180 ° (sum of angles of a triangle) ∠ 3 = 52 ° (vertical angles) ∠ 1 = 180 °  − 90 °  − 52 °  = 38 ° 

  2. 2.  ∠ 2 +  ∠ 4 = 180 ° (straight angle) ∠ 4 = 52 ° (corresponding angles) ∠ 2 + 52 °  = 180 °  ∠ 2 = 128 ° 

    A diagram of lines and a ray.
  3. 3. Two right triangles. The first has a leg of 10.0 feet and another leg of 8.0 feet. The other has a leg of 25.0 feet and another leg of x units.

    x8.0 = 25.010.0x = 8.0(25.0)10.0 = 20.0ft

  4. 4. Use Hero’s formula:

    s = 12(24.6 + 36.5 + 40.7) = 50.9 cmA = 50.9(50.9 − 24.6)(50.9 − 36.5)(50.9 − 40.7) = 443 cm2

  5. 5. d2 = 1252 + 170d = 1252 + 1702 = 211 ft

  6. 6. A = 12h(b1 + b2) = 12(2.76)(9.96 + 4.70) = 20.2 m2

  7. 7. Let m = mass of block ...

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