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Digiron [165]
4 years ago
10

PLEASE HELP ASAP!!!!!!!!!!!!!!!!!!!!1

Mathematics
1 answer:
Alja [10]4 years ago
6 0

Call x the number of children.

originally each got $240/x

but later one part was redistributed so each of the (x-1) children got $240/(x-1).

We also know that $240/(x-1) = $240/x + $8. that is our equation to solve for x.

240x = 240*(x-1)+8x(x-1)

240x = 240x - 240 + 8x^2 - 8x

8x^2 - 8x - 240 = 0

this is a quadratic equation with two solutions. you get the solutions using a formula (of your preference). On my end I got the two solutions as x1=-5 and x2=6.

Clearly the solution (number f children) can't be negative, so the one practical solution is x=6 which is the number of  children in the Kind family.

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Answer:

The polygons are similar.

Step-by-step explanation:

By definition, the corresponding sides and angles of similar polygons must be in some constant proportion.

Therefore, we can find the ratio between corresponding sides to see if that ratio is maintained.

The side marked 3 cm in the smaller figure corresponds with the side marked 3.75 cm in the larger figure. This proportion is \frac{3}{3.75}.

The side marked 5 in the smaller figure corresponds with the side marked 6.25 cm in the larger figure. This proportion is \frac{5}{6.25}.

If these polygons are similar, these proportions must be equal.

\frac{3}{3.75}=\frac{5}{6.25},\\0.8=0.8\:\checkmark

Checking, we see that these proportions are equal, and therefore the polygons are similar.

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Answer:

15

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Answer:  Choice H

y = -2x+3

=========================================================

Explanation:

Start at any point you want on the diagonal line. Notice how we move down 2, right 1 to get to a neighboring point. This "down 2, right 1" motion determines the slope

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Another way to find the slope is to use the slope formula for any two points on that diagonal line.

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