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Scrat [10]
3 years ago
14

Can someone please help!

Mathematics
1 answer:
romanna [79]3 years ago
4 0

Answer:

The value of x is 49 and the value of AB is 90

Step-by-step explanation:

You know that AB and DE are congruent. That information is given to you.

You set the equations equal to each other and then solve.


2x - 8 = x + 38


Subtract x


x - 8 = 38


Add 8.


x = 49


Plug back into 2x - 8 to find the value of AB


2 times 49 - 8


98 - 8


90

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This means x\sqrt{2} =12, so  x=\frac{12}{\sqrt{2} }.

Next, to find the area of the square you take the square of any of its sides. Since x is the length of one side, and x=\frac{12}{\sqrt{2} } , you can square \frac{12}{\sqrt{2} } to get the area. This is equal to \frac{144}{2} or 72 cm.

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Step-by-step explanation:

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