Find the value of y.

Mathematics

1 answer:

snow_tiger [21]3 years ago

4 0

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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Comment on the geometry

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

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.

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HELP PLS

Dmitry [639]

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6 0

3 years ago

Find the sum of three consecutive odd integers where x is the greatest integer

myrzilka [38]

X + (x − 2) + (x − 4) = ? ; In which

x + x − 2 + x − 4 ;

Combine the "like terms" ;

x + x + x = 3x ;

− 2 − 4 = −6 ;

So we have: "3x − 6" as the sum. ;
___________________________
The sum of three consecutive odd integers, in which "x" is the greatest integer; is: "3x − 6" .
_____________________________________________
Note: The three consecutive odd integers, from least to greatest, are:

"(x − 4)" , "(x − 2)" , and "x" .

The sum is: "(3x − 6)" .
_____________________________________________
Note: "(3x − 6)" factors into: " 3(x −2)" .

Note that: " (x − 2) " is the second integer.
______________________________________________
So the sum total, which is: "(3x − 6)" ; is 3 (three) times the value of the second integer; that is, "3 (x − 2)" .
______________________________________________

5 0

3 years ago

Evaluate:-|137|+|13|

pychu [463]

Answer:

The answer is 150

Step-by-step explanation:

I think what you mean with the numbers between the "I's" is absolute value. Any number is just that number, so the absolute value of -6, is 6. The absolute value of 24 is 24. That means it's simply 137+13, which is 150.