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zavuch27 [327]
3 years ago
13

How do i solve this?

Mathematics
1 answer:
tigry1 [53]3 years ago
7 0

Answer:

  x = 5

Step-by-step explanation:

The corresponding segments are proportional, so you can write any of several equations relating the different segment lengths. Here's one way:

  top segment/bottom segment = x/(x+5) = (x-2)/(x+1)

Multiply by the product of denominators:

  (x +1)x = (x +5)(x -2)

  x² +x = x² +3x -10 . . . . . eliminate parentheses

  10 = 2x . . . . . . . . . . . . . . add 10 -x -x² to both sides of the equation

  5 = x . . . . . divide by 2

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The temperature at 3 pm was 7 degrees.
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ehidna [41]

Answer:

V = 216x - 60x^2 + 4x^3

Step-by-step explanation:

The volume V of the fountain is equal to:

V = L*W*h

Where L is the lenght of the fountain, W is the width of the fountain and h is the high of the fountain

We already know that h is equal to x. On the other hand, if we cut a square with side of length x, L and W are calculated as:

L = 18 - 2x

W = 12 - 2x

So, replacing L, W and h on the equation of the volume, we get:

V = (18-2x)*(12-2x)*x

Finally, simplifying the function we get:

V = ((18*12)+(18*(-2x))+(-2x*12)+((-2x)*(-2x)))*x

V = (216-36x-24x+4x^2)*x\\V = (216-60x+4x^2)*x\\V = 216x - 60x^2 + 4x^3

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2 years ago
URGENT HELP NEEDED WITH TRIANGLES/CIRCLES! IF ET = 31, DE = 65, AND DC= 74, FIND THE PERIMETER OF DCE.
snow_tiger [21]

ES = ET

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DS = DR

and

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Therfore the line EC = 31 + 40 = 71


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