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tia_tia [17]
3 years ago
13

Point D is on line segment CE. Given CE=11 and CD=9, determine the length DE

Mathematics
1 answer:
Valentin [98]3 years ago
7 0
11
•——-•——•
C D E
9 2
Because the line CE is 11, you will need to subtract it by 9 to find line DE.
11-9=2
To check your work you may add 9 and 2 to find out if it comes out to 11 and it does.
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We can use the equation x=\frac{3}{4} y to find the length of the side of a square.

<u>Solution:</u>

Given that, the perimeter of a square is equal to the perimeter of an equilateral triangle.  

The length of a side of the square is given by "x"

And the length of a side of the equilateral triangle is given by "y"

Finding the equation to determine value of "x"

<em><u>The perimeter of a square with side "x" is given as:</u></em>

\text { perimeter of a square }=4 \times \text { side }=4 x

<em><u>Perimeter of a equilateral triangle with side "y" is given as:</u></em>

\text { perimeter of a equilateral triangle }=3 \text { side }=3 y

Given that perimeter of a square = perimeter of an equilateral triangle

\begin{array}{l}{\rightarrow 4 x=3 y} \\\\ {\rightarrow x=\frac{3}{4} y}\end{array}

Hence, we can use the equation x=\frac{3}{4} y to find the length of the side of a square.

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