Answer:
the answer to this question is b
Answer:
it's not
Step-by-step explanation:
if you simplify by making the denominators the same (multiplying 9/12 by 6/6 and 4/6 by 12/12), you'll arrive at 54/72 and 48/78. 54 isn't equal to 48
Answer:(x,y)=(6,10)
Step-by-step explanation:
It would be AAS I believe cause angle angle side
Answer:
y = √55
Step-by-step explanation:
All the triangles are similar, so the ratio of short side to hypotenuse is the same for all:
5/y = y/(5+6)
y^2 = 55
y = √55
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<em>Comment on the geometry</em>
There are three "geometric mean" relationships that apply to this geometry.
- the altitude BD is the geometric mean of BC and BA (√30)
- the long side of the large triangle is the geometric mean of the longer segment of the hypotenuse and the whole hypotenuse (x = √66)
- the short side of the large triangle is the geometric mean of the shorter segment of the hypotenuse and the whole hypotenuse (y = √55)
If you were aware of the last of these relationships, you could write down the answer without any "work."
y = √(5(5 +6)) = √55
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The geometric mean is the n-th root of the product of n numbers. When there are 2 numbers, it is the square root of their product.
