From Question ,
23x-3 = 13x-6
Or, 23x-13x = -6+3
Or, 10x = -3
Or, x = -3/10
Therefore x = -3/10 ans
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Based on the triangle sum theorem and the triangle inequality theorem:
1. B. 23°, 67°, 90°.
2. A. 1 cm, 2 cm, 3 cm.
<h3>What is the Triangle Sum Theorem?</h3>
According to the triangle sum theorem, all three interior angles of any triangle has a sum of 180 degrees.
What is the Triangle Inequality Theorem?
Based on the triangle inequality theorem, one side of a triangle must be less than or equals the sum of any other two sides of the triangle. (a + b ≥ c).
Part 1:
23° + 67° + 90° = 180°, therefore, based on the triangle sum theorem, the set of angle measures that could be the interior angles of a triangle is: B. 23°, 67°, 90°.
Part 2:
1 + 2 = 3
1 + 3 > 2
2 + 3 > 1
Therefore, based on the triangle inequality theorem, the set of side lengths that could be that of the sides of a triangle is: A. 1 cm, 2 cm, 3 cm.
Learn more about the triangle sum theorem on:
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<span>First of all, if there are at least 70 seats, there must be at least 9 rows. (9*8 =72, which is required to have minimum 70 seats).
And, maximum 150 seats are there, so 150/8 = 18.75, i.e. 18 rows can be there at maximum.
So, the actual number of rows can be between 9 and 18. We can say that possible number of rows can be 9, 10, 11, 12, 13, 14, 15, 16, 17, or 18.</span>
