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baherus [9]
3 years ago
14

In the right triangle shown, D F = E F = 3. How long is D E?

Mathematics
1 answer:
schepotkina [342]3 years ago
7 0
A^2 + b^2 = c^2

3^2 + 3^2 = DE ^2

18= DE^2

DE = 4.24 or 3 root 2
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Answer:

x = 24.48, y = -15.52, z = 3.95 to the nearest hundredth.

Step-by-step explanation:

 x+y-z=5             (a)

-x-4y-8z=6          (b)

3x+5y-4z=-20      (c)

Adding equations a and b:

-3y - 9z = 11       (d)

Now multiply equation b by 3:

-3x - 12y - 24z = 18        (e)

Adding  c and e:

-7y - 28z = -2      (f)  Multiply by 3 to give (g)

-3y - 9z = 11         (b)   Multiply by  -7 to give (h)

-21y - 84z = -6     (g)

21y + 63z = -77    (h)    Adding g and h:

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and y is found bt substituting in equation d:

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y = ( 11 + 9(3.952) / -3

= -15.52.

Now find x by substituting for y an z in equation a:

x - 15.52 - 3.952 = 5

x = 5 + 15.52 + 3.952

= 24.476.

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