In the roof design below, the lower support beam, a, is 34 feet. the vertical support beam, b, is 29 feet. the two beams meet at a right angle. what is the length of the angled support beam, c (rounded to the nearest foot)?
a. 43
b. 76
c. 63
d. 45

  D.  45

Step-by-step explanation:

Without a diagram, we can only assume that C is the hypotenuse of a right triangle with legs A and B. If that is the case, then the length of C is given by the Pythagorean theorem:

  C^2 = A^2 + B^2

  C^2 = (34 ft)^2 + (29 ft)^2

  C^2 = 1997 ft^2

  C = √1997 ft ≈ 44.69 ft

The length of beam C is about 45 feet.

answer: (c) m∠qpo + (2x + 16)° = 180°

step-by-step explanation:

the opposite angles of a quadrilateral are supplementary.

so, ∠o + ∠q = 180°   and   ∠p + ∠r = 180°

since ∠r = 2x + 16°, we can use substitution as follows:

∠p + ∠r = 180°

∠p + (2x + 16)° = 180°

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