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Lilit [14]
3 years ago
7

Using the digits 0 to 9, at most one time each, fill in the boxes to create a square, with one of the vertices at (2,3). Hint: 2

and 3 are already used (so they cannot be used again); not all numbers will be used.
Mathematics
1 answer:
coldgirl [10]3 years ago
3 0

Answer:

See explanation

Step-by-step explanation:

One vertex is at point (2,3).

Go 1 unit to the left and 5 units up, then the second vertex will be at the point (1,8).

Go 5 units to the right and 1 unit up, then the third vertex will be at point (6,9).

Go 1 unit to the right and 5 units down, then the fourth vertex will be at point (7,4).

Go 5 units to the left and 1 unit down to get into the vertex (2,3).

Since you always move one unit in one direction and 5 units in another direction, obtained quadrilateral will be a square.

See attached diagram for details.

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40 games will be played in total.

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A farmer sells eggs in containers holding a dozen eggs. If he has 2178 eggs, how many containers will be filled completely? How
BARSIC [14]

Answer:

~181 containers filled completely, 6 eggs left over

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3 0
2 years ago
I need help ASAP 10 Points!!!
swat32

Purple color figure is similar to the original figure.

<u>Solution:</u>

Property of similar polygon:

<em>Similar polygons have same shape, corresponding angles are congruent and the corresponding sides are in the same ratio.</em>

(1) <u>Compare original figure with green color figure:</u>

Angles of the original figure:

37°, 53° and 90°.

Angles of the green color figure:

67°, 23° and 90°

These two angles of the triangles not congruent angles.

Hence these shapes are not similar.

(2) <u>Compare original figure with yellow color figure:</u>

Angles of the original figure:

37°, 53° and 90°.

Angles of the yellow color figure:

67°, 23° and 90°

These two angles of the triangles are not congruent angles.

Hence these shapes are not similar.

(3) <u>Compare original figure with purple color figure:</u>

Angles of the original figure:

37°, 53° and 90°

Angles of the purple color figure:

37°, 53° and 90°

These two triangles have same shape and congruent angles.

Ratio of the sides:

$\frac{3}{6}=\frac{1}{2} , \ \frac{4}{8}=\frac{1}{2} , \ \frac{5}{10}=\frac{1}{2}

These two triangles have same ratio.

Hence these shapes are similar.

Hence purple color figure is similar to the original figure.

4 0
3 years ago
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