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Tpy6a [65]
2 years ago
5

If the length of FG is 6 units, what is the length of EH?

Mathematics
1 answer:
QveST [7]2 years ago
4 0

FG goes through the center of the circle, so FG is diameter.

d = 2r \\ r =  \dfrac{d}{2}  \\  \\ r =  \dfrac{6}{2}  = 3

EH=r=3

Answer: EH=3

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The area of a right triangle is given by the expression:
lorasvet [3.4K]

The expression that models the length of the second leg of the triangle is <u>2x - 3.</u>

<u><em>Recall</em></u>:

The area of a triangle = \frac{1}{2} bh

<em><u>Given</u></em>:

Area of triangle = \frac{1}{2} (6x^2 - 7x - 3)

Length of one of the legs = 3x + 1

Therefore, it means that multiplying both legs should give us:

6x^2 - 7x - 3

To find the expression that models the other leg, divide 6x^2 - 7x - 3 by 3x + 1:

  • <em>Thus</em>:

\frac{6x^2 - 7x - 3}{3x - 1}

  • Factorize the numerator

\frac{6x^2 - 2x - 9x - 3}{3x - 1}\\\\\frac{2x(3x - 1) - 3(3x - 1)}{3x - 1}\\\\\frac{(2x- 3)(3x - 1)}{3x - 1}

  • Simplify

\frac{(2x- 3)(3x - 1)}{3x - 1} = 2x- 3

Therefore, the expression that models the length of the second leg of the triangle is <u>2x - 3.</u>

<u></u>

<u></u>

Learn more here:

brainly.com/question/20712284

6 0
1 year ago
An animal shelter houses dogs, cats, and rabbits. There are 126 animals at the shelter. Of the animals, one-third are cats. Thre
Furkat [3]

Answer:

21

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126-42=84

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63 are dogs

42 are cats

and 21 are rabbits

4 0
2 years ago
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