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:
<em>The measure of angle J is 44°</em>
Step-by-step explanation:
<u>Isosceles Trapezoid</u>
The isosceles trapezoid has its non-parallel sides of the same length, thus the angles they form with their respective parallel sides are congruent.
It means: Angle J is congruent with angle K and angle M is congruent with angle L
The sum of angles in a trapezoid is 180*(4-2)=360°
Thus:
Joining like terms:
Adding 24:
Dividing by 64:
x=6°
Thus:
The measure of angle J is 44°