F = 2t - 3
f = 2(7) - 3
f = 14 - 3
f = 11
Simplified answer is: 13x - 15
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:
It's choice 2. c = 3 sin 45 / sin 40.
Step by-step explanation:
m< A = 180 - 45-95
= 180 - 140
= 40 degrees.
So by the Sine Rule:
c / sin 45 = 3 / sin A
Cross multiply:
c sin A = 3 sin 45
c = 3 sin 45 / sin 40.
