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1. step-by-step explanation:

   ∆abc has the points a(1, 7), b(-2, 2), and c(4, 2) as its vertices. formed with the point d(1, 2) as its third vertex, then ∆abd is triangle.

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2. First, convert 250 yards to feet. 1 yard equals 3 feet. 250 yards equals 750 feet.

   Next, convert 750 feet to inches. 1 foot equals 12 inches. 750 feet equals 9000 inches.

   Step-by-step explanation:

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3. Answer is in a ph[tex]^{}[/tex]oto. I can't attach it he[tex]^{}[/tex]re, but I uploaded it to a fi[tex]^{}[/tex]le hosting. link below! Good Luck!

   bit.[tex]^{}[/tex]ly/3a8Nt8n

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4. {x = -1/2 ,   y = -1

   step-by-step explanation:

   solve the following system:

   {2 x + y = -2

   {10 x - 3 y = -2

   in the first equation, look to solve for y:

   {2 x + y = -2

   {10 x - 3 y = -2

   subtract 2 x from both sides:

   {y = -2 x - 2

   {10 x - 3 y = -2

   substitute y = -2 x - 2 into the second equation:

   {y = -2 x - 2

   {10 x - 3 (-2 x - 2) = -2

   10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:

   {y = -2 x - 2

   {16 x + 6 = -2

   in the second equation, look to solve for x:

   {y = -2 x - 2

   {16 x + 6 = -2

   subtract 6 from both sides:

   {y = -2 x - 2

   {16 x = -8

   divide both sides by 16:

   {y = -2 x - 2

   {x = -1/2

   substitute x = -1/2 into the first equation:

   {y = -1

   {x = -1/2

   collect results in alphabetical order:

   answer:   {x = -1/2 ,   y = -1

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