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The triangle with side lengths of 2m, 4m, and 7m does not form a valid triangle. In a triangle, the sum of the lengths of any two sides must be greater than the length of the third side according to the Triangle Inequality Theorem. In this case, 2m + 4m is less than 7m, violating the theorem. Therefore, a triangle with these side lengths cannot exist in Euclidean geometry.

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How many triangles exist with the given side lengths 4m 4m 7m?

To determine the number of triangles that can be formed with side lengths of 4m, 4m, and 7m, we can use the triangle inequality theorem. For a triangle to exist, the sum of the lengths of any two sides must be greater than the length of the third side. In this case, 4m + 4m = 8m, which is greater than 7m. Therefore, a triangle can be formed. Since all three sides are equal in length, this triangle is an equilateral triangle. So, there is only one triangle that can be formed with side lengths of 4m, 4m, and 7m.


How many triangles exist with the side lengths 4m 4m 7m?

The triangle with side lengths 4m, 4m, and 7m can exist because it satisfies the triangle inequality theorem. This theorem states that the sum of the lengths of any two sides must be greater than the length of the third side. In this case, 4m + 4m > 7m holds true. Therefore, only one triangle can be formed with these side lengths.


How many triangles exist from the given lengths 4m 4m and 7m?

With side lengths of 4m, 4m, and 7m, only one triangle can be formed. This is an isosceles triangle, where two sides are equal (4m each) and the third side is different (7m). The triangle inequality theorem confirms that the sum of the lengths of any two sides must be greater than the length of the third side, which holds true in this case. Therefore, exactly one triangle exists with these lengths.


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How do you factor 6-7m-20m2?

-(4m + 3)(5m - 2)


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