For the figure, determine whether each statement is true or false. If a statement is true, explain why.
(a) ?1 = 90°.
(b) ?1 = ?5 + ?11.
(c) ?9 + ?10 = 2(?5).
(d) ?5 + ?6 = ?1.
(a) False
(b) True:The exterior angle equals the sum of the non adjacent interior angles.
(c) False
(d) True: Alternate interior angles are congruent.
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A PDF for a continuous random variable X is given. Use the PDF to find the indicated probability.Find P(X ? 3).f(x) =
A. 0.0498 B. -0.0498 C. 0.9502 D. -0.9502
Find the flux of the vector field F across the surface S in the indicated direction.F = x4y5i + yj - zk; S is the portion of the parabolic cylinder z = 4 - y2 for which and 1 ? x ? 7; direction is outward (away from the x-y plane)
A. 0 B. 48 C. -96 D. 96
Add.859 + 45 + 9,981 + 7
A. 10,871 B. 10,913 C. 10,682 D. 10,892
Give a verbal representation for the given function. f(x) = 6 x - 11 . Let y = f(x).
A. To obtain y: Multiply x by 11, then subtract 6 from the result. B. To obtain y: Subtract 11 from x, then multiply the result by 6. C. To obtain y: Multiply x by 6, then subtract 11 from the result. D. To obtain y: Divide x by 6, then subtract 11 from the result.