Triangle jkl is transformed using the rule ro, 90° • ry = –x(x, y). point k of the pre-image is at (4, 7). what are the coordinates of point k" on the final image? (–7, –4) (–4, –7) (4, –7) (4, 7)

Triangle jkl underwent two transformations.the first transformation is a rotation of 90° about the origin. the second transformation is a refrection across the line y = -xpoint (4, 7) is in the first quadrant. a 90° rotation of point (4, 7) about the origin will result in a point in the fourth quadrant with the coordinates of x and y interchanged.i.e. a 90° rotation of point (4, 7) about the origin will result in point (7, -4).a refrection of the point (7, -4) across the line y = -x will result in the interchange of the cordinates and the change of signs in the coordinates.thus, a refrection of the point (7, -4) across the line y = -x will result in (4, -7)therefore, the coordinates of point k" on the final image are (4, -7).

Part A:   42° < x < 176°

Part B:  See Explanation

Part C:  No

Step-by-step explanation:

PART A:

Required temperature of benzene to ensure it remains liquid = x

Boiling temperature= 176°F

Freezing Temperature= 42°F

So the inequality can be written as:

42° < x < 176°

PART B:

(GRAPH IS ATTACHED)

The Red shaded region represents all the possible value.

The Red Open circles represent boundaries of the solution. The values not included in the solution

PART C:

As it is necessary for benzene to stay in liquid form for the research, it should always stay above 42°F.

If the temperature of the building fell to 20°F , research cannot be conducted as benzene will freeze.