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Yes! The intel Core i7-3770k is a Socket 1155 processor and the Cupertino2-H61-uA TX supports the 1155 socket.
If you are meaning LGA1155, its the number of pin connector on a processor/cpu. For example, a core i7 2600k is compatible with a motherboard using a LGA 1155 socket.
Look for what type of socket the CPU has its usually lga 1155 but there are other kinds so you should look under specs and find the socket type and then find a motherboard that has the socket type
See the link provided.
No sorry the Dell Optiplex 780 can't support a i7, it would have to be a 1155, 1156, 1366 socket compatible motherboard, but your options would be a Intel Core 2 Quad like a Q6700, upwards. Your Dell has a 775 socket.
Socket 1366 Socket 1156 Socket 1155 Socket LGA 2011 are in use presently
30% of 1155= 30% * 1155= 0.3 * 1155= 346.5
One of the newer processors with socket LGA 1155, 2011 or slightly older but still powerful 1366. Processors include i5 2500k or 2550k, i7 2600k, i7 980x, i7 920, i7 3930x etc. there are lots but they can be very expensive.
1155 is composite.
1155/2 = 577.5
It is: 1155/50 = 23.1
The shipsets are the set of standardised chips on the motherboard. These usually match up nicely to the generation of processor. On 1155, the relevant chipsets are: B75 (business chipset for non-overclocking chips), H77 (same use as previous) is recommended for Asrock H77M or Asrock H77 Pro4-MVP, Z77 (for overclockable ivybridge/sandbridge chips).