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Maurinko [17]
3 years ago
7

What is the value of x?

Mathematics
1 answer:
Juli2301 [7.4K]3 years ago
3 0

Answer:

x = 3 sqrt 2

Step-by-step explanation:

We know that this is a 45, 45m 90 special right triangle. In this special right triangle the side lengths are x, x and the hypotenuse is x sqrt 2 (we can prove this using pythagoreans theorem). 6 is the hypotenuse, meaning that it is equal to x sqrt 2:

6 = x sqrt 2

x = 6/sqrt 2

Rationalize the denominator:

x = (6 sqrt 2)/2

x = 3 sqrt 2

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Select the conjecture with the rephrased statement of proof to show the diagonals of a parallelogram bisect each other.
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Considering the given figure, the conjecture with the rephrased statement of proof to show the diagonals of a parallelogram bisect each other is: In parallelogram EFGH show EK is congruent to KG and F.K is congruent to KH

<h3>How to determine the correct rephrase of the proof about parallelogram diagonals</h3>

The diagonals refer to the lines running between the two opposite ends of the parallelogram

Bisecting means sharing into two equal parts

congruent means a copy that is equal in dimension hence can be used in place of the other image  

The diagonals of a parallelogram bisect each other means that the diagonals cut each other to form two equal parts such that each part is congruent to each other.

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3 0
1 year ago
3. At the start of summer, Ben has $250 . He takes a summer
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Answer:

Week 4

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Ben has $250 in the beginning.  He saves $150 per week.

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Tim has $1,650 in the beginning.  He spends $200 per week.

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We are trying to find which x-value produces the same y-value for both equations.  You can do this by setting both equations equal to each other.

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(150x + 250) + 200x = (1650 - 200x) + 200x

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350x = 1400

(350x)/350 = (1400)/350

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By week 4, they will have the same amount of money.

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