Answer:
Step-by-step explanation:
The geometric mean relations for this geometry tell you the length of each segment (x or y) is the root of the product of the hypotenuse segments it touches.
x = √(9×5) = (√9)(√5) = 3√5
y = √(9×(9+5)) = (√9)(√14) = 3√14
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<em>Additional comment</em>
The geometric mean of 'a' and 'b' is √(ab).
The geometric mean relations derive from the fact that the three triangles in this geometry are similar. That means corresponding sides are proportional.
Segment x is both a long side (of the smallest triangle) and a short side (of the medium-size triangle). Then it will be involved in proportions involving the relationship of the long side and the short side of the triangles it is part of:
long side/short side = x/5 = 9/x
x² = 5·9
x = √(9×5) . . . . as above
In like fashion, y is both a long side and a hypotenuse, so we have ...
long side/hypotenuse = y/(9+5) = 9/y
y² = (9+5)(9)
y = √(9×14) . . . . . as above
The same thing holds true on the other side of the triangle. The unmarked segment is both a short side and a hypotenuse, so its measure will be the geometric mean of 14 and 5, the hypotenuse and its short segment.
Usually, this means just going with the flow, not actually doing the work, just look ing like you are. hoped this helped
Answer:
6
Step-by-step explanation:
Answer:
80
Step-by-step explanation:
0.35x = 28 (divide each side by 0.35)
x=80
<h3>
5p+p</h3>
=p(5+1) (Taking p in common)
=6p
Therefore, 6p is your answer.