The perimeter of a rectangle is 24mm. the length is 4mm less than triple the width. what are the dimensions of the rectangle?

Use stokes' theorem to evaluate c f · dr where c is oriented counterclockwise as viewed from above. f(x, y, z) = xyi + 5zj + 7yk, c is the curve of intersection of the plane x + z = 8 and the cylinder x2 + y2 = 81.

Ofof is a ? a. (1, 2), (1,-2), (3, 2), (3, 4) b. (1,6), (2, ,9), (0,5) c. (0, 2), (2,3), (0, -2), (4,1) d. (2, 4), (0, 2), (2, - 4), (5,3)

Select the correct answer. given: ∆abc with prove: statement reason 1. given 2. ∠cab ≅ ∠edb ∠acb ≅ ∠deb if two parallel lines are cut by a transversal, the corresponding angles are congruent. 3. ∆abc ~ ∆dbe aa criterion for similarity 4. corresponding sides of similar triangles are proportional. 5. ab = ad + db cb = ce + eb segment addition 6. substitution property of equality 7. division 8. subtraction property of equality what is the missing statement in the proof? scroll down to see the entire proof.