If pentagon opqrs is dilated by a scale factor of seven over four from the origin, to create o'p'q'r's', what is the ordered pair of point q'?

One side of a rectangle is 7 feet shorter than seven times the other side. find the length of the shorter side if we also know that the perimeter of the rectangle is 306 feet.

Geometry in the diagram, ∠abc is a right angle. ∠dbc = 30°27'40". find the measure of ∠abd.

For the feasibility region shown below find the maximum value of the function p=3x+2y