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stira [4]
3 years ago
11

Help please ...........number 13, 14, 15​

Mathematics
1 answer:
AfilCa [17]3 years ago
3 0

Answer:

13.  108 inches

14.  not similar (sides have different ratios)

15.  68

Step-by-step explanation:

13. You have two relationships between length and width:

  2L + 2W = 336 . . . . . the perimeter is 336 inches

  L/W = 9/5 . . . . . . . . . .the ratio of length to width is 9/5

Multiplying the second equation by 5/9W, we get

  5/9L = W

Now we can substitute that into the first equation to get ...

  2L +2(5/9L) = 336

Multiplying by 9 gives us ...

  18L +10L = 3024

And dividing by 28 gives ...

  3024/28 = L = 108 . . . . inches

___

14. Shortest to longest, the ratios of sides are 6 : 8 : 9 and 2 : 4 : 5. There is no value that will multiply the first ratio to give the second ratio. For example, multiplying by 1/3 gives ...

  2 : 2 2/3 : 3 . . . . <u>not</u> 2 : 4 : 5

Similar triangles have the same side ratios. These do not, so they are not similar triangles.

__

15. MP is a midsegment of triangle JKL and parallel to base JL. A midsegment is half the length of the parallel base. Then JL is twice as long as MP. JL is 68 units long.

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