The coordinates of the vertices of△JKL are J(3, 4), K(3, 1), and L(1, 1). The coordinates of the vertices of△J′K′L′ are J′(−3,−5), K′(−3,−2), and L′(−1,−2).

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A sequence of transformations that maps △JKL to △J′K′L′ is a followed by a

Mary beth used the mapping rule to find the coordinates of a point that had been rotated 90° counterclockwise around the origin. examine the steps to determine whether she made an error. m (3, –6) is rotated 90° counterclockwise. (x, y) → (–y, x) 1. switch the x- and y-coordinates: (6, –3) 2. multiply the new x-coordinate by –1: (6(–1), –3) 3. simplify: (–6, –3) .

Find the exact value of each of the following. in each case, show your work and explain the steps you take to find the value. (a) sin 17π/6 (b) tan 13π/4 (c) sec 11π/3

The larger of two number is 4 less than twice the smaller number. the sum is 41. find the numbers