ABC is an isosceles triangle with BA=BC. D lies on AC. ABD is an isosceles triangle with AB=AD. Angle ABD=172. Show that triangle BCD is isosceles. You must give a reason for each stage of working

Antonio made a scale model of a building. the model's scale is 1 inch to 235 feet and its height is 3.5 inches. what is the exact height of the actual building? enter your answer in the box.

What is 100,000 times 1/100,000, using the standard method of multiplication? write the answer as 10 to a power.

Marquise has 200 meters of fencing to build a rectangular garden. the garden's area (in square meters) as a function of the garden's width w w (in meters) is modeled by: a ( w ) = − w 2 + 1 0 0 w a(w)=−w 2 +100w what side width will produce the maximum garden area? meters