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taurus [48]
2 years ago
6

Polygons ABCD and EFGH are similar. Find the length of EH?

Mathematics
1 answer:
3241004551 [841]2 years ago
5 0

Most likely, polygon <span>ABCD</span> has sides of known lengths.
It is also likely that one of the sides of polygon <span>EFGH</span> (not <span>EH</span>) is also known. For instance, its side <span>EF</span>.

If the above is true, we can find the scaling factor as a ratio between lengths of corresponding sides:
<span>r=<span><span>EF</span><span>AB</span></span></span>

Since this ratio is constant for any two corresponding lengths,
<span>r=<span><span>EH</span><span>AD</span></span></span>

From the last two equations we can derive:
<span>EH=AD⋅<span><span>EF</span><span>AB</span></span></span>

Hope That Helped : ) (Took a minute)
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Let the speed of the current be y and the speed of Micah's sailing speed be x. Then 4.48/(x + y) = 0.32
4.48/(x - y) = 0.56

0.32x + 0.32y = 4.48 . . . (1)
0.56x - 0.56y = 4.48 . . . (2)
(1) x 7 => 2.24x + 2.24y = 31.36 . . . (3)
(2) x 4 => 2.24x - 2.24y = 17.92 . . . (4)
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The numbers provided are as follows:

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