Exercise I: Fruit ninja 1. Determine the surface S given by the equation x 2 − 4x + y 2 − 2y + z 2 − 6z = 2. 2. Find an equation
of the plane P going through the points (1, 1, 1), (1, 4, −2), and (−1, 0, 4), of the form ax + by + cz + d = 0. 3. Clearly, the intersection of S and P is a circle. Compute the radius r of this circle. You may want to draw a picture first, and use a result seen in class!
1 answer:
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Answer:
∠ C = 118°
Step-by-step explanation:
DE = DF , then Δ DEF is isosceles with base angles congruent , then
∠ DEF = ∠ DFE = =
= 62°
∠ DFE and ∠ DFB are adjacent angles on a straight line and sum to 180° , so
∠ DFB = 180° - 62° = 118°
BCDF is a parallelogram ( opposite sides are parallel )
The opposite angles of a parallelogram are congruent , then
∠ C = ∠ DFB = 118°
