Find the missing length indicated

x = 144.

Step-by-step explanation:

Since the side length bisects the right angle of the largest triangle, all three triangles are similar.

To find the length of x, we need to find the smaller side of the middle triangle, which is also the longer side of the smallest triangle. To find what the length of it is, we use a^2 + b^2 = c^2.

25^2 + b^2 = 65^2

b^2 = 4225 - 625

b^2 = 3600

sqrt(b^2) = sqrt(3600)

b = 60

Now that we know the length of the smaller side of the middle triangle, we can set up the following proportion...

x * 25 = 60 * 60

25x = 3600

x = 144

Hope this helps!

find the magnitude of the trig term  

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find the lower bound of the range.

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find the upper bound of the range.

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step-by-step explanation:

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step-by-step explanation: