The value of x is -2
Step-by-step explanation:
Given that
6 (2x + 3) - 3(x - 2) = 6
Expand the bracket
6 (2x + 3) - 3(x - 2) = 6
12x + 18 - 3x + 6 = 6
Collect like terms
12x - 3x = 6 - 6 - 18
9x = -18
Divide through by 9
9x / 9 = -18 / 9
x = -2
Therefore, the value of x is -2
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Answer:
- The sum of the interior angles of the 15-gon

- Each interior angle of the regular polygon

Step-by-step explanation:
As we know that
In any convex polygon, if we may start at one vertex and draw the diagonals to all the other vertices, we would form triangles,
The number of triangles thus formed would always 2 LESS than the number of sides.
As
- The sum of measure of the angles of any triangle is 180°.
Thus,
The sum of the interior angles of the 15-gon will be:

Also
15-gon is regular, it means this total
is shared in equal proportion among the 15 interior angles.
And
Each interior angle of the regular polygon will be: 
Therefore, we conclude that:
- The sum of the interior angles of the 15-gon

- Each interior angle of the regular polygon

Keywords: regular polygon, 15-gon, triangle
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9514 1404 393
Answer:
65.6%
Step-by-step explanation:
The question is essentially asking the ratio of the volumes.
Va = πr²h = π(15²)(20)
Vb = πr²h = π(19²)(19)
The ratio of volumes is ...
Va/Vb = π(15²)(20)/(π(19³)) = (15²)(20)/19³ ≈ 0.65607
Container B will be about 65.6% full when container A is empty.
Answer:
Arithmetic Sequence
Step-by-step explanation:
Arithmetic Sequence