A triangle is dilated by a scale factor of One-fifth and then rotated 90 degrees clockwise about the origin. Why is the image similar to the pre-image? Check all that apply. The corresponding sides of the triangles are congruent.
The corresponding angles of the triangles are congruent.
The corresponding sides of the image are 5 times as long as those of the pre-image.
The image is a reduction of the pre-image.
Neither the dilation nor the rotation change the shape of the triangle.
The rotation reduces the size of the triangle.

Acaterer knows he will need 60, 50, 80, 40 and 50 dinner napkins on five successive evenings. he can purchase new napkins initially at 25 cents each, after which he can have dirty napkins laundered by a fast one-day laundry service (i. e., dirty napkins given at the end of the day will be ready for use the following day) at 15 cents each, or by a slow two-day service at 8 cents each or both. the caterer wants to know how many napkins he should purchase initially and how many dirty napkins should be laundered by fast and slow service on each of the days in order to minimize his total costs. formulate the caterer’s problem as a linear program as follows (you must state any assumptions you make): a. define all variables clearly. how many are there? b. write out the constraints that must be satisfied, briefly explaining each. (do not simplify.) write out the objective function to be minimized. (do not simplify.)