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STALIN [3.7K]
4 years ago
7

PLEASE HELP!!!!!!! Its been almost an hour and I'm stuck. WILL MARK BRAINLIEST for correct answer.

Mathematics
2 answers:
svp [43]4 years ago
4 0

A and B are corresponding to each other so in D and C and S and P the are all in the same vertical line. I hope this helps

BaLLatris [955]4 years ago
3 0

If you turn the figure: PQRS the same way as ABCD they are exactly the same.

SAME ANGEL POINTS:

A = R

B = S

C = P

D = Q

SAME SIDES:

AB = RS

AD = RQ

BC = SP

CD = PQ


Hope this helps

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GenaCL600 [577]

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  x = 144

Step-by-step explanation:

What you need to remember about this geometry is that all of the triangles are similar. As with any similar triangles, that means ratios of corresponding sides are proportional. Here, we can write the ratios of the long leg to the short leg and set them equal to find x.

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<em>Comment on this geometry</em>

You may have noticed that the above equation can be written in the form ...

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This same sort of "geometric mean" relation holds for other parts of this geometry, as well. The short leg of the largest triangle (the hypotenuse of the one with legs 25 and 60) is the geometric mean of the short hypotenuse segment (25) and the total hypotenuse (25+x).

And, the long leg of the large triangle (the hypotenuse of the one with legs 60 and x) is the geometric mean of the long hypotenuse segment (x) and the total hypotenuse (25+x).

While it can be a shortcut in some problems to remember these geometric mean relationships, you can always come up with what you need by simply remembering that the triangles are all similar.

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