define the following: as they relate to horses\na. breed\nb. breed registries\nc. breeding true\nd. color…

define the following: as they relate to horses\na. breed\nb. breed registries\nc. breeding true\nd. color breed\ne. conformation\nf. draft horse\ng. feral horse\nh. foundation sires\ni. miniature horse\nj. hybrid\nk. mule\nl. triple crown winner\nm. horse tack\nn. horse hobble\no. horse shoe

define the following: as they relate to horses\na. breed\nb. breed registries\nc. breeding true\nd. color breed\ne. conformation\nf. draft horse\ng. feral horse\nh. foundation sires\ni. miniature horse\nj. hybrid\nk. mule\nl. triple crown winner\nm. horse tack\nn. horse hobble\no. horse shoe

Answer

Explanation:

Step1: Simplify the given leg length

First, simplify (7\sqrt{4}). Since (\sqrt{4} = 2), we have (7\sqrt{4}=7\times2 = 14)? Wait, no, wait. Wait, (7\sqrt{4}=7\times2 = 14)? Wait, no, (7\sqrt{4}=7\times2 = 14)? Wait, no, (\sqrt{4}=2), so (7\sqrt{4}=7\times2 = 14)? Wait, no, the horizontal leg is (7\sqrt{4}), which simplifies to (7\times2 = 14)? Wait, no, (7\sqrt{4}=7\times2 = 14)? Wait, no, (\sqrt{4}=2), so (7\sqrt{4}=14)? Wait, no, (7\sqrt{4}=7\times2 = 14)? Wait, no, the horizontal leg is (7\sqrt{4}), which is (7\times2 = 14)? Wait, no, (7\sqrt{4}=14)? Wait, no, let's recalculate: (\sqrt{4}=2), so (7\sqrt{4}=7\times2 = 14). So the horizontal leg is 14? Wait, no, the problem says the top horizontal leg is (7\sqrt{4}). Let's simplify (7\sqrt{4}): (\sqrt{4}=2), so (7\sqrt{4}=7\times2 = 14). Wait, but in a 45-45-90 triangle, the two legs are equal. So the vertical leg (x) should be equal to the horizontal leg. Wait, the horizontal leg is (7\sqrt{4}), which is 14? Wait, no, (7\sqrt{4}=14)? Wait, no, (7\sqrt{4}=7\times2 = 14). So the horizontal leg is 14? Wait, no, (7\sqrt{4}=14)? Wait, no, let's check again: (\sqrt{4}=2), so (7\sqrt{4}=7\times2 = 14). So the horizontal leg is 14. Then, in a 45-45-90 triangle, the legs are equal, so (x) (the vertical leg) is equal to the horizontal leg, so (x = 7\sqrt{4}=14) (since (7\sqrt{4}=14)). Then the hypotenuse (y) is leg (\times\sqrt{2}), so (y = 14\sqrt{2}). Let's check the options:

Option d: (x = 14), (y = 14\sqrt{2}). Let's verify:

In a 45-45-90 triangle, the legs are equal, so (x =) horizontal leg (= 7\sqrt{4}=14) (since (\sqrt{4}=2), so (7\times2 = 14)). Then hypotenuse (y = x\sqrt{2}=14\sqrt{2}). So that's option d.

Step2: Check each option

  • Option a: (x=14\sqrt{2}), (y=28). But legs should be equal, and (14\sqrt{2}\neq14) (the horizontal leg is 14), so a is wrong.
  • Option b: (x=7\sqrt{4}), (y=14\sqrt{2}). But (7\sqrt{4}=14), so (x=14), not (7\sqrt{4}) (since (7\sqrt{4}) is 14, but the option writes (x=7\sqrt{4}) which is not simplified, and the problem says to simplify. So b is wrong.
  • Option c: (x=7), (y=7\sqrt{2}). But the horizontal leg is (7\sqrt{4}=14), so (x) should be 14, not 7. So c is wrong.
  • Option d: (x=14), (y=14\sqrt{2}). This matches our calculation: legs are equal (14=14), hypotenuse is (14\sqrt{2}). So d is correct.

Answer:

d. (x = 14), (y = 14\sqrt{2})