Answer:
x=-2
Step-by-step explanation:
8, 10, 12
A helpful equation:
x+x+1+x+2 = 30
Combine like terms
3x + 3 = 30
Subtract 3 from each side
3x = 27
Divide each side by to isolate x
x = 9
x = 9. However, 9 is not an even number. Let’s subtract 1 from 9 to get the first even number.
The first number is 8. The best two even numbers after 8 are 10 and 12.
8 + 10 + 12 = 30, thus this is the sequence.
From calculations, we can say that the given tiles will not fit together perfectly.
<h3>How to find the sum of interior angles of a Polygon?</h3>
If the tiles join perfectly at a point, sum of all angles around the joining point should be 360°.
Expression for the measure of the interior angle of a polygon,
Interior angle of a polygon = [(n - 2) * 180]/n
Interior angle of a pentagon = [(5 - 2) * 180]/5 = 108°
Interior angle of a hexagon = [(6 - 2) * 180]/6 = 120°
Interior angle of an octagon = [(8 - 2) * 180]/8 = 135°
To prove that the given tiles fit together perfectly → Sum of all the angles around the common point should be 360°
Sum of all interior angles = 108° + 120° + 135° = 363°
Therefore, given tiles will not fit together perfectly.
Read more about Interior angles of a Polygon at; brainly.com/question/224658
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Answer:
henc X = 30°
Step-by-step explanation:
here is the proof
when X=30° then
sin2x = sin2×30
=sin 60°
= √3/2
or else,
putting value of X = 30° then
sin2x= 2sinxcosx
= 2×sin30°×cos30°
=2×1/2×√3/2
= 2√3/4
= √3/2
hence proved sin2x= √3/2.
Answer: Should be rational
hope this helps.
