The weight of gemstones, such as diamonds, rubies, and emeralds, is measured in carats. A carat is a unit of measure equal to 200 milligrams. One of the world’s most famous diamonds is the Hope Diamond, which weighs 44.5 carats. What’s the weight of the Hope Diamond in grams?

Look at the figure below: triangle abc is a right triangle with angle abc equal to 90 degrees. the length of ac is 5 units and the length of ab is 4 units. d is a point above c. triangle adc is a right triangle with angle dac equal to 90 degrees and dc parallel to ab. what is the length, in units, of segment cd?