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3 years ago

7

Celia and Ryan are starting a nutrition program.Celia currently consumes 1200 calories a day and will increase that number by 10

0 calories each day. Ryan currently consumes 3230 calories a day and will decrease that number by 190 each day.They will continue this pattern until they are both consuming the same number of calories per day. In how many days will that be

1 answer:

BartSMP [9]3 years ago

3 0

Answer:

Celia consumes 100

Step-by-step explanation:

Because thats just right

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Answer:

Part 1) The polygon is a square

Part 2) The perimeter is equal to $20\ units$

Part 3) The area is equal to $25\ units^{2}$

Step-by-step explanation:

we have

$A(5,0), B(2,4), C(-2,1),D(1,-3)$

Plot the points

see the attached figure

we know that

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

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substitute in the formula

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substitute in the formula

$d=\sqrt{(1-4)^{2}+(-2-2)^{2}}$

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$C(-2,1),D(1,-3)$

substitute in the formula

$d=\sqrt{(-3-1)^{2}+(1+2)^{2}}$

$d=\sqrt{(-4)^{2}+(3)^{2}}$

$d=\sqrt{25}$

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substitute in the formula

$d=\sqrt{(-3-0)^{2}+(1-5)^{2}}$

$d=\sqrt{(-3)^{2}+(-4)^{2}}$

$d=\sqrt{25}$

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AB=BC=CD=AD

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substitute in the formula

$d=\sqrt{(-3-4)^{2}+(1-2)^{2}}$

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If the triangle BDA is a right triangle, then the polygon is a square

Applying the Pythagoras theorem

$BD^{2}=AD^{2}+AB^{2}$

substitute

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