Will my Intel dh55tc motherboard run and r7 250 1Gb Gddr5 Sapphire

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yes you can as long as the gpu will physically fit inside your computer case. the motherboard pcie lane supports pcie 2.0 @ x16 speeds. even though the gpu supports pcie 3.0, it is backwards compatible and it will still work fine on pcie 2.0.
yes you can as long as the gpu will physically fit inside your computer case. the motherboard pcie lane supports pcie 2.0 @ x16 speeds. even though the gpu supports pcie 3.0, it is backwards compatible and it will still work fine on pcie 2.0.
 
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