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Alex
3 years ago
10

Place the following from last to greatest Square root of 40 Square root of 11 6 5

Mathematics
1 answer:
lidiya [134]3 years ago
4 0
Square root of 11, 5, 6, square root of 40
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What is the value of x and the length of segment DE?
aniked [119]

Answer:

x = 6.6; DE = 16.6  

Step-by-step explanation:

Assume the diagram is like the figure below.

1. Calculate the value of x

In a right triangle, the altitude drawn from the right angle to the hypotenuse divides the triangle into two similar triangles.

Thus, ∆CDF ~ ∆FDE, and

\begin{array}{rcl}\dfrac{CD}{DF} &=& \dfrac{FD}{DE}\\\\\dfrac{5}{9} &=& \dfrac{9}{2x + 3}\\\\5(2x + 3) & = &81\\10x + 15 & = & 81\\10x & = & 66\\x & = & \mathbf{6.6}\\\end{array}

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