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bogdanovich [222]
4 years ago
11

Find the diagonal length of this figure

Mathematics
2 answers:
sasho [114]4 years ago
6 0

Answer:

5\sqrt{5} \:mm

or

11.18 mm

Step-by-step explanation:

length of diagonal

=\sqrt{l^{2} +w^{2}+h^{2}  } \\=\sqrt{8^{2} +6^{2}+5^{2}  } \\=\sqrt{64 +36+25 } \\=\sqrt{125 } \\=5\sqrt{5} \: mm\\=11.18 mm

LekaFEV [45]4 years ago
3 0

Answer:

the answer is,

11.18mm

by pythagoras theorem, you'll get base diagonal as 10mm, therefore the diagonal*marked red is 11.18mm.

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x^2 +3x+2

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4 years ago
100 POINTS JUST ANSWER THIS PLEASE<br> What values of w and x make △GHI≅△STR?
muminat

Answer:

x=26

w=28

Step-by-step explanation:

If △GHI≅△STR

Then TS = HG, so

-25x+27w-63 = -x +w +41  

and HI = RT

w + x -6 = -15w + 18x

Simplifying the equations

w + x -6 = -15w + 18x

Add 15w to each side

w+15w + x -6 = -15w+15w + 18x

16w +x -6 = 18x

Subtract x from each side

16w +x-x -6 = 18x-x

16w-6 = 17x

Simplifying the second equation

-25x+27w-63 = -x +w +41  

Add 25x to each side

-25x+25x+27w-63 = -x+25x +w +41  

27w-63 = 24x+w+41

Subtract w from each side

27w-w -63 = 24x+41

26w -63 = 24x+41

Subtract 41 from each side

26w -63-41 = 24x

26w -104 = 24x

Now Multiply each equation so we can eliminate x

26w -104 = 24x

16w-6 = 17x

Multiply the first by 17 and the second by -24

442w -1768 = 408x

-384w +144 = -408x

---------------------------------

58w -1624=0

58w = 1624

Divide by 58

58w/58 = 1624/58

w= 28

Now find x

16w -6 =17x

16*28 -6 =17x

442=17x

442/17 =x

26=x

5 0
3 years ago
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