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.
Answer:
48
Step-by-step explanation:
The Perimeter Is The Outside length of the shape.
7x^2-3x - (3x^2 +4x -5) multiply negative one across the entire second term
7x^2 - 3x -3x^2 -4x +5
4x^2 -7x +5
2 = x. 7 = y
2 = 1/3 * 7 -1/3
1/3 * 7 to get 7/3
2 = 7/3 - 1/3 to get 6/3
Divide both sides by 2
2 = 2
Sorry if my math is wrong
